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Series completion Questions in English
Competitive Exam Reasoning · Series completion · Series completion
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401
MediumMCQ
These questions are based on the following arrangement. Study it carefully and answer the questions.
$J ,\star, R, 3, P,L ,2 ,\# ,I,N, 7, O,C, @ ,K, 5, D, =, M, \$, 6, B, > ,A ,Q ,4$
How many such symbols are there in the above arrangement each of which is immediately followed by a consonant and immediately preceded by a number?
A
One
B
Two
C
Three
D
None of these
Solution
Numer$|$Symbol$|$Constant
There is no such combination.
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MediumMCQ
Study the following arrangement carefully and answer the questions given below:
$7, R,E,T ,4 ,A ,9 ,\% ,D,F, 1, U, \# ,B ,@ ,8 ,H,I ,$©$, W,M, \star, 3,2 ,V ,\$ ,5 ,N,P,6, Q$
How many such consonants are there in the above arrangement, each of which is immediately preceded by a consonant and immediately followed by a number?
A
None
B
One
C
Two
D
Three
Solution
Consonant $|$ Consonant $|$ Number
Some combinations are : $\quad$ $DF1$ $|$ $\quad$ $NP6$
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MediumMCQ
Study the following arrangement carefully and answer the question given below:
$7, R, E, T, 4, A, 9, \%, D, F, 1, U, \#, B, @, 8, H, I, W, M, \star, 3, 2, V, \,5,N,P,6,Q$
How many such numbers are there in the above arrangement,each of which is immediately preceded by a letter but not immediately followed by a symbol?
$7, R, E, T, 4, A, 9, \%, D, F, 1, U, \#, B, @, 8, H, I, W, M, \star, 3, 2, V, \,5,N,P,6,Q$
How many such numbers are there in the above arrangement,each of which is immediately preceded by a letter but not immediately followed by a symbol?
A
None
B
One
C
Two
D
Three
Solution
(D) To find the numbers that are immediately preceded by a letter and not immediately followed by a symbol,we look for the pattern: $\text{Letter} \rightarrow \text{Number} \rightarrow \text{Not a Symbol}$.
Let's analyze the sequence:
$1$. $T, 4, A$: $T$ is a letter,$4$ is a number,$A$ is a letter (not a symbol). This satisfies the condition.
$2$. $F, 1, U$: $F$ is a letter,$1$ is a number,$U$ is a letter (not a symbol). This satisfies the condition.
$3$. $P, 6, Q$: $P$ is a letter,$6$ is a number,$Q$ is a letter (not a symbol). This satisfies the condition.
There are $3$ such numbers: $4, 1, 6$.
Let's analyze the sequence:
$1$. $T, 4, A$: $T$ is a letter,$4$ is a number,$A$ is a letter (not a symbol). This satisfies the condition.
$2$. $F, 1, U$: $F$ is a letter,$1$ is a number,$U$ is a letter (not a symbol). This satisfies the condition.
$3$. $P, 6, Q$: $P$ is a letter,$6$ is a number,$Q$ is a letter (not a symbol). This satisfies the condition.
There are $3$ such numbers: $4, 1, 6$.
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View Solution404
MediumMCQ
Study the following arrangement carefully and answer the questions given below:
$7, R,E,T ,4 ,A ,9 ,\% ,D,F, 1, U, \# ,B ,@ ,8 ,H,I ,$©$, W,M, \star, 3,2 ,V ,\$ ,5 ,N,P,6, Q$
How many such vowels are there in the above arrangement, each of which is immediately followed by a symbol?
A
None
B
One
C
Two
D
Three
Solution
Vowel $|$ Symbol
Such combinations are:
$U\#\,|\,I$ $©$
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View Solution405
MediumMCQ
Study the following arrangement carefully and answer the questions given below:
$7, R,E,T ,4 ,A ,9 ,\% ,D,F, 1, U, \# ,B ,@ ,8 ,H,I ,$©$, W,M, \star, 3,2 ,V ,\$ ,5 ,N,P,6, Q$
Four of the following five are alike in a certain way based on their position in the above arrangement and so form a group.
Which is the one that does not belong to the group?
A
$RTA$
B
$9DF$
C
$\#@H$
D
$3V5$
Solution
$R \stackrel{+2}{\longrightarrow} T \stackrel{+2}{\longrightarrow} A$
$9 \stackrel{+2}{\longrightarrow} D \stackrel{+1}{\longrightarrow} F \quad($ not +2$)$
$\# \stackrel{+2}{\longrightarrow} @ \stackrel{+2}{\longrightarrow} H$
$3 \stackrel{+2}{\longrightarrow} V \stackrel{+2}{\longrightarrow} 5$
$I \stackrel{+2}{\longrightarrow} W \stackrel{+2}{\longrightarrow} \star$
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MediumMCQ
Study the following arrangement carefully and answer the questions given below:
$7, R, E, T, 4, A, 9, \%, D, F, 1, U, \#, B, @, 8, H, I, \copyright, W, M, \star, 3, 2, V, \$, 5, N, P, 6, Q$
Which of the following is the fourth to the left of the twelfth from the left end?
A
$\%$
B
$8$
C
$2$
D
$H$
Solution
Fourth to left of $12^{th}$ from left means $8^{th}$ from left.
$7, R, E, T, 4, A, 9, \%, D, F$
$7 \xrightarrow{8^{th} \text{ from left}} \%$
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MediumMCQ
In the arrangement $P, 2, 6, M, 9, K, S, 4, V, 7$,the positions of the $1^{st}$ and the $6^{th}$ elements are interchanged,those of the $2^{nd}$ and the $7^{th}$ are interchanged,and so on. Then,which of the following will be the $4^{th}$ element from the left end in the new arrangement?
A
$M$
B
$7$
C
$4$
D
None of these
Solution
(D) The original arrangement is: $P, 2, 6, M, 9, K, S, 4, V, 7$ (Total $10$ elements).
The rule for interchange is: $1^{st} leftrightarrow 6^{th}$,$2^{nd} leftrightarrow 7^{th}$,$3^{rd} leftrightarrow 8^{th}$,$4^{th} leftrightarrow 9^{th}$,$5^{th} leftrightarrow 10^{th}$.
Applying these interchanges:
$1^{st}$ $(P)$ and $6^{th}$ $(K)$ swap $ ightarrow K, 2, 6, M, 9, P, S, 4, V, 7$
$2^{nd}$ $(2)$ and $7^{th}$ $(S)$ swap $ ightarrow K, S, 6, M, 9, P, 2, 4, V, 7$
$3^{rd}$ $(6)$ and $8^{th}$ $(4)$ swap $ ightarrow K, S, 4, M, 9, P, 2, 6, V, 7$
$4^{th}$ $(M)$ and $9^{th}$ $(V)$ swap $ ightarrow K, S, 4, V, 9, P, 2, 6, M, 7$
$5^{th}$ $(9)$ and $10^{th}$ $(7)$ swap $ ightarrow K, S, 4, V, 7, P, 2, 6, M, 9$
The new arrangement is: $K, S, 4, V, 7, P, 2, 6, M, 9$.
The $4^{th}$ element from the left end is $V$.
The rule for interchange is: $1^{st} leftrightarrow 6^{th}$,$2^{nd} leftrightarrow 7^{th}$,$3^{rd} leftrightarrow 8^{th}$,$4^{th} leftrightarrow 9^{th}$,$5^{th} leftrightarrow 10^{th}$.
Applying these interchanges:
$1^{st}$ $(P)$ and $6^{th}$ $(K)$ swap $ ightarrow K, 2, 6, M, 9, P, S, 4, V, 7$
$2^{nd}$ $(2)$ and $7^{th}$ $(S)$ swap $ ightarrow K, S, 6, M, 9, P, 2, 4, V, 7$
$3^{rd}$ $(6)$ and $8^{th}$ $(4)$ swap $ ightarrow K, S, 4, M, 9, P, 2, 6, V, 7$
$4^{th}$ $(M)$ and $9^{th}$ $(V)$ swap $ ightarrow K, S, 4, V, 9, P, 2, 6, M, 7$
$5^{th}$ $(9)$ and $10^{th}$ $(7)$ swap $ ightarrow K, S, 4, V, 7, P, 2, 6, M, 9$
The new arrangement is: $K, S, 4, V, 7, P, 2, 6, M, 9$.
The $4^{th}$ element from the left end is $V$.
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View Solution408
MediumMCQ
To answer these questions,study carefully the following arrangement of letters,digits,and symbols:
$6, =, *, C, E, 3, 8, G, L, M, 7, \star, @, P, R, 4, !, N, T, 5, S, V$
How many such letters are there in the arrangement,each of which is immediately followed by a symbol?
$6, =, *, C, E, 3, 8, G, L, M, 7, \star, @, P, R, 4, !, N, T, 5, S, V$
How many such letters are there in the arrangement,each of which is immediately followed by a symbol?
A
None
B
One
C
Two
D
Three
Solution
(A) To find the number of letters immediately followed by a symbol,we examine the sequence:
$6, =, *, C, E, 3, 8, G, L, M, 7, \star, @, P, R, 4, !, N, T, 5, S, V$
$1$. $C$ is followed by $E$ (Letter)
$2$. $E$ is followed by $3$ (Digit)
$3$. $G$ is followed by $L$ (Letter)
$4$. $L$ is followed by $M$ (Letter)
$5$. $M$ is followed by $7$ (Digit)
$6$. $P$ is followed by $R$ (Letter)
$7$. $R$ is followed by $4$ (Digit)
$8$. $N$ is followed by $T$ (Letter)
$9$. $T$ is followed by $5$ (Digit)
$10$. $S$ is followed by $V$ (Letter)
Reviewing the sequence,there is no letter that is immediately followed by a symbol. Therefore,the count is $0$.
$6, =, *, C, E, 3, 8, G, L, M, 7, \star, @, P, R, 4, !, N, T, 5, S, V$
$1$. $C$ is followed by $E$ (Letter)
$2$. $E$ is followed by $3$ (Digit)
$3$. $G$ is followed by $L$ (Letter)
$4$. $L$ is followed by $M$ (Letter)
$5$. $M$ is followed by $7$ (Digit)
$6$. $P$ is followed by $R$ (Letter)
$7$. $R$ is followed by $4$ (Digit)
$8$. $N$ is followed by $T$ (Letter)
$9$. $T$ is followed by $5$ (Digit)
$10$. $S$ is followed by $V$ (Letter)
Reviewing the sequence,there is no letter that is immediately followed by a symbol. Therefore,the count is $0$.
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MediumMCQ
To answer these questions study carefully the following arrangement of letters, digits and symbols.
$6, =, C, E, 3, 8, G, L, M, 7, \star, @, P, R, 4, \#, \$, N, T, 5, S, V$
How many such symbols are there in the arrangement each of which is immediately preceded by a number?
A
None
B
One
C
Two
D
More than three
Solution
Required symbols are $=, \star, \#$ and $\$$
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View Solution410
MediumMCQ
To answer these questions study carefully the following arrangement of letters, digits and symbols.
$6,=, C,E, 3,8 ,G,L,M, 7, \star, @ ,P,R, 4, \#, \$, N,T, 5, S,V$
How many such digits are there in the arrangement each of which is immediately preceded by a letter?
A
One
B
Two
C
Three
D
Four
Solution
Required numbers are $: 3,7,4$ and $5$
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View Solution411
MediumMCQ
To answer these questions study carefully the following arrangement of letters, digits and symbols.
$6,=,\$, C,E, 3,8 ,G,L,M, 7, \star, @ ,P,R, 4, \# ,N,T, 5, S,V$
If all the symbols in the arrangement are removed, then which of the following will be the $7^{th}$ to the left of the $13^{th}$ element from the left end?
A
$3$
B
$8$
C
$G$
D
$L$
Solution
New arrangement would be as follows:
$6, C , F , 3,8, \underline{G}, L , M , 7, P , R , 4,\underline{N}, T , 5, V$
$13 th$ element from left is $N$ and $7 th$ element to left of $N$ is $G.$
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View Solution412
MediumMCQ
To answer these questions study carefully the following arrangement of letters, digits and symbols.
$6,=, \#, C,E, 3,8 ,G,L,M, 7, \star, @ ,P,R, 4, \$,N,T, 5, S,V$
If all the digits in the arrangement are removed, then which of the following will be the $8^{th}$ to the right of the $15^{th}$ element from the right end?
A
$M$
B
$P$
C
$L$
D
$@$
Solution
New arrangement would be as follows:
$=,\underline{\#}, C , F , G , L , M , \star,@,\underline{P}, R , \$, N , T , S , V$
$15^{th}$ element from right is $\#$ and $8^{th}$ element to the right of $\#$ is $P$.
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View Solution413
MediumMCQ
How many such numbers are there in the following series,each of which is immediately preceded by $6$ but not immediately followed by $4$?
$3, 8, 6, 8, 4, 2, 6, 9, 8, 4, 6, 8, 4, 8, 6, 2, 6, 8, 4, 8$
$3, 8, 6, 8, 4, 2, 6, 9, 8, 4, 6, 8, 4, 8, 6, 2, 6, 8, 4, 8$
A
None
B
One
C
Two
D
Three
Solution
(C) We need to find numbers that satisfy the condition: (Preceded by $6$) $AND$ ($NOT$ followed by $4$).
Let's analyze the series: $3, 8, 6, 8, 4, 2, 6, 9, 8, 4, 6, 8, 4, 8, 6, 2, 6, 8, 4, 8$
$1$. Look for $6$ in the series:
- The first $6$ is followed by $8$ (not $4$). This satisfies the condition. The number is $8$.
- The second $6$ is followed by $9$ (not $4$). This satisfies the condition. The number is $9$.
- The third $6$ is followed by $8$ (not $4$). This satisfies the condition. The number is $8$.
- The fourth $6$ is followed by $2$ (not $4$). This satisfies the condition. The number is $2$.
- The fifth $6$ is followed by $8$ (not $4$). This satisfies the condition. The number is $8$.
Wait,let's re-examine the sequence carefully: $3, 8, 6, 8, 4, 2, 6, 9, 8, 4, 6, 8, 4, 8, 6, 2, 6, 8, 4, 8$
- $6, 8$ (followed by $4$): No.
- $6, 9$ (followed by $8$): Yes ($9$ is the number).
- $6, 8$ (followed by $4$): No.
- $6, 2$ (followed by $6$): Yes ($2$ is the number).
- $6, 8$ (followed by $4$): No.
There are $2$ such numbers: $9$ and $2$.
Let's analyze the series: $3, 8, 6, 8, 4, 2, 6, 9, 8, 4, 6, 8, 4, 8, 6, 2, 6, 8, 4, 8$
$1$. Look for $6$ in the series:
- The first $6$ is followed by $8$ (not $4$). This satisfies the condition. The number is $8$.
- The second $6$ is followed by $9$ (not $4$). This satisfies the condition. The number is $9$.
- The third $6$ is followed by $8$ (not $4$). This satisfies the condition. The number is $8$.
- The fourth $6$ is followed by $2$ (not $4$). This satisfies the condition. The number is $2$.
- The fifth $6$ is followed by $8$ (not $4$). This satisfies the condition. The number is $8$.
Wait,let's re-examine the sequence carefully: $3, 8, 6, 8, 4, 2, 6, 9, 8, 4, 6, 8, 4, 8, 6, 2, 6, 8, 4, 8$
- $6, 8$ (followed by $4$): No.
- $6, 9$ (followed by $8$): Yes ($9$ is the number).
- $6, 8$ (followed by $4$): No.
- $6, 2$ (followed by $6$): Yes ($2$ is the number).
- $6, 8$ (followed by $4$): No.
There are $2$ such numbers: $9$ and $2$.
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View Solution414
MediumMCQ
These questions are based on the following letter/number/symbol arrangement. Study it carefully and answer the questions that follow.
$5, D,H,E, \star, 7,9, \$ ,F,I ,6 ,R ,\% ,L ,1 ,A,J, 3, B, \# ,4 ,@ ,K,P ,8, U,M ,2$
If all the symbols are removed from the above arrangement, which element will be third to the left of thirteenth from the left?
A
$L$
B
$R$
C
$6$
D
$I$
Solution
Third to left of thirteenth from the left means $10 \text{th}$ from the left. The arrangement is
$5, D, H, E, 7, 9, F ,I ,6 ,R,L ,1 ,A ,J ,3 ,B, 4, K, P, 8, U ,M ,2$
$5 \xrightarrow{10 \text{th} \, \text{from} \, \text{left}} 4$
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View Solution415
MediumMCQ
These questions are based on the following letter/number/symbol arrangement. Study it carefully and answer the questions that follow.
$5, D,H,E, \star, 7,9, \$ ,F,I ,6 ,R ,\% ,L ,1 ,A,J, 3, B, \# ,4 ,@ ,K,P ,8, U,M, 2$
What will come in place of the question marks $(?)$ in the following series based on the above arrangement?
$E,D,H ,9 ,\star, 7, I,\$,F, ?, ?, ?$
A
$6RI$
B
$\%R6$
C
$RI6$
D
$\%6R$
Solution
$E \stackrel{+3}{\longrightarrow} 9 \stackrel{+3}{\longrightarrow} I \stackrel{+3}{\longrightarrow} \%$
$D \stackrel{+3}{\longrightarrow} \star \stackrel{+3}{\longrightarrow} \$ \stackrel{+3}{\longrightarrow} 6$
$H \stackrel{+3}{\longrightarrow} 7 \stackrel{+3}{\longrightarrow} F \stackrel{+3}{\longrightarrow} R$
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View Solution416
MediumMCQ
These questions are based on the following letter/number/symbol arrangement. Study it carefully and answer the questions that follow.
$5, D,H,E, \star, 7,9, \$ ,F,I ,6 ,R ,\% ,L ,1 ,A,J, 3, B, \# ,4 ,@ ,K,P ,8, U,M, 2$
Which element will be fifth to the right of ninth from the right end if all the numbers are removed from the above arrangement?
A
$K$
B
$@$
C
$P$
D
$\#$
Solution
If all the numbers are removed, the arrangement becomes:
$D,H,E,\star,\$,F,I,R,\%,L,A,J,B,\#,@,K,P,U,M$
$A\xleftarrow{9th\,from\,right}M$
$A\xrightarrow{5th\,from\,right}K$
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View Solution417
MediumMCQ
The following questions are based on the five three-digit numbers given below:
$972, 526, 487, 359, 251$
If the positions of the first and second digits are interchanged,which of the following will be third if they are arranged in ascending order?
$972, 526, 487, 359, 251$
If the positions of the first and second digits are interchanged,which of the following will be third if they are arranged in ascending order?
A
$359$
B
$972$
C
$526$
D
$487$
Solution
(A) Step $1$: Interchange the first and second digits of each number:
$972 \rightarrow 792$
$526 \rightarrow 256$
$487 \rightarrow 847$
$359 \rightarrow 539$
$251 \rightarrow 521$
Step $2$: Arrange these new numbers in ascending order:
$256, 521, 539, 792, 847$
Step $3$: Identify the third number in the sequence:
The sequence is $256, 521, 539, 792, 847$.
The third number is $539$,which corresponds to the original number $359$.
$972 \rightarrow 792$
$526 \rightarrow 256$
$487 \rightarrow 847$
$359 \rightarrow 539$
$251 \rightarrow 521$
Step $2$: Arrange these new numbers in ascending order:
$256, 521, 539, 792, 847$
Step $3$: Identify the third number in the sequence:
The sequence is $256, 521, 539, 792, 847$.
The third number is $539$,which corresponds to the original number $359$.
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View Solution418
MediumMCQ
The following questions are based on the five three-digit numbers given below:
$972, 526, 487, 359, 251$
If $2$ is added to the sum of the digits of each of the above numbers,how many will be multiples of $5$?
$972, 526, 487, 359, 251$
If $2$ is added to the sum of the digits of each of the above numbers,how many will be multiples of $5$?
A
None
B
One
C
Two
D
Three
Solution
(D) First,calculate the sum of the digits for each number and add $2$ to each sum:
$1. 9+7+2 = 18; 18 + 2 = 20$ (Multiple of $5$)
$2. 5+2+6 = 13; 13 + 2 = 15$ (Multiple of $5$)
$3. 4+8+7 = 19; 19 + 2 = 21$ (Not a multiple of $5$)
$4. 3+5+9 = 17; 17 + 2 = 19$ (Not a multiple of $5$)
$5. 2+5+1 = 8; 8 + 2 = 10$ (Multiple of $5$)
Counting the results that are multiples of $5$,we have $20, 15,$ and $10$. Therefore,there are $3$ such numbers.
$1. 9+7+2 = 18; 18 + 2 = 20$ (Multiple of $5$)
$2. 5+2+6 = 13; 13 + 2 = 15$ (Multiple of $5$)
$3. 4+8+7 = 19; 19 + 2 = 21$ (Not a multiple of $5$)
$4. 3+5+9 = 17; 17 + 2 = 19$ (Not a multiple of $5$)
$5. 2+5+1 = 8; 8 + 2 = 10$ (Multiple of $5$)
Counting the results that are multiples of $5$,we have $20, 15,$ and $10$. Therefore,there are $3$ such numbers.
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View Solution419
MediumMCQ
The following questions are based on the five three-digit numbers given below:
$972, 526, 487, 359, 251$
If $1$ is subtracted from the last digit of each of the above numbers,the sum of the digits of how many of them are prime numbers?
$972, 526, 487, 359, 251$
If $1$ is subtracted from the last digit of each of the above numbers,the sum of the digits of how many of them are prime numbers?
A
None
B
Two
C
One
D
Three
Solution
(B) Step $1$: Subtract $1$ from the last digit of each number.
$972 \rightarrow 97(2-1) = 971$
$526 \rightarrow 52(6-1) = 525$
$487 \rightarrow 48(7-1) = 486$
$359 \rightarrow 35(9-1) = 358$
$251 \rightarrow 25(1-1) = 250$
Step $2$: Calculate the sum of the digits for each resulting number.
Sum of digits of $971 = 9 + 7 + 1 = 17$
Sum of digits of $525 = 5 + 2 + 5 = 12$
Sum of digits of $486 = 4 + 8 + 6 = 18$
Sum of digits of $358 = 3 + 5 + 8 = 16$
Sum of digits of $250 = 2 + 5 + 0 = 7$
Step $3$: Identify which sums are prime numbers.
The sums are $17, 12, 18, 16, 7$.
Among these,$17$ and $7$ are prime numbers.
Therefore,there are $2$ such numbers.
$972 \rightarrow 97(2-1) = 971$
$526 \rightarrow 52(6-1) = 525$
$487 \rightarrow 48(7-1) = 486$
$359 \rightarrow 35(9-1) = 358$
$251 \rightarrow 25(1-1) = 250$
Step $2$: Calculate the sum of the digits for each resulting number.
Sum of digits of $971 = 9 + 7 + 1 = 17$
Sum of digits of $525 = 5 + 2 + 5 = 12$
Sum of digits of $486 = 4 + 8 + 6 = 18$
Sum of digits of $358 = 3 + 5 + 8 = 16$
Sum of digits of $250 = 2 + 5 + 0 = 7$
Step $3$: Identify which sums are prime numbers.
The sums are $17, 12, 18, 16, 7$.
Among these,$17$ and $7$ are prime numbers.
Therefore,there are $2$ such numbers.
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View Solution420
MediumMCQ
The following questions are based on the five three-digit numbers given below:
$972, 526, 487, 359, 251$
If the digits in each of the above numbers are written in reverse order,which will be the second highest number?
$972, 526, 487, 359, 251$
If the digits in each of the above numbers are written in reverse order,which will be the second highest number?
A
$251$
B
$359$
C
$487$
D
$526$
Solution
(C) First,reverse the digits of each number:
$972 \rightarrow 279$
$526 \rightarrow 625$
$487 \rightarrow 784$
$359 \rightarrow 953$
$251 \rightarrow 152$
Now,arrange these new numbers in descending order:
$953 > 784 > 625 > 279 > 152$
The highest number is $953$ (derived from $359$) and the second highest number is $784$ (derived from $487$).
Therefore,the correct option is $487$.
$972 \rightarrow 279$
$526 \rightarrow 625$
$487 \rightarrow 784$
$359 \rightarrow 953$
$251 \rightarrow 152$
Now,arrange these new numbers in descending order:
$953 > 784 > 625 > 279 > 152$
The highest number is $953$ (derived from $359$) and the second highest number is $784$ (derived from $487$).
Therefore,the correct option is $487$.
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View Solution421
MediumMCQ
The following questions are based on the five three-digit numbers given below:
$972, 526, 487, 359, 251$
If the positions of the digits of each of the numbers are interchanged such that the first digit becomes the second,the second digit becomes the third,and the third digit becomes the first,which of the following will be the highest?
$972, 526, 487, 359, 251$
If the positions of the digits of each of the numbers are interchanged such that the first digit becomes the second,the second digit becomes the third,and the third digit becomes the first,which of the following will be the highest?
A
$972$
B
$526$
C
$487$
D
$359$
Solution
(D) The rule for interchanging digits is: the first digit moves to the second position,the second to the third,and the third to the first. This is a cyclic shift (e.g.,$abc \rightarrow cab$).
Applying this to each number:
$972 \rightarrow 297$
$526 \rightarrow 652$
$487 \rightarrow 748$
$359 \rightarrow 935$
$251 \rightarrow 125$
Comparing the new numbers: $297, 652, 748, 935, 125$.
The highest number is $935$,which corresponds to the original number $359$.
Applying this to each number:
$972 \rightarrow 297$
$526 \rightarrow 652$
$487 \rightarrow 748$
$359 \rightarrow 935$
$251 \rightarrow 125$
Comparing the new numbers: $297, 652, 748, 935, 125$.
The highest number is $935$,which corresponds to the original number $359$.
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View Solution422
MediumMCQ
These questions are based on the following arrangement. Study it carefully and answer the questions.
$8, H, \%, 3, 7, T, A, 4, \#, 6, B, I, @, R, 1, Q, \star, L, E, 2, K, \$,U,5,9$
Which element is sixth to the right of fifteenth from the right end?
$8, H, \%, 3, 7, T, A, 4, \#, 6, B, I, @, R, 1, Q, \star, L, E, 2, K, \$,U,5,9$
Which element is sixth to the right of fifteenth from the right end?
A
$Q$
B
$\star$
C
$L$
D
$1$
Solution
(B) To find the element that is $6th$ to the right of the $15th$ element from the right end,we subtract the positions because both are from the same direction (right).
Position $= 15 - 6 = 9th$ element from the right end.
Counting from the right end ($9, 5, U, \$,K,2,E,L,\star$):
The $9th$ element is $\star$.
Position $= 15 - 6 = 9th$ element from the right end.
Counting from the right end ($9, 5, U, \$,K,2,E,L,\star$):
The $9th$ element is $\star$.
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View Solution423
MediumMCQ
These questions are based on the following arrangement. Study it carefully and answer the questions.
$8, H, \%, 3, 7, T, A, 4, \#, 6, B, I, @, R, 1, Q, \star, L, E, 2, K, \,U,5,9$
Four of the following five are alike in a certain way on the basis of their positions in the above arrangement and so form a group. Which is the one that does not belong to the group?
$8, H, \%, 3, 7, T, A, 4, \#, 6, B, I, @, R, 1, Q, \star, L, E, 2, K, \,U,5,9$
Four of the following five are alike in a certain way on the basis of their positions in the above arrangement and so form a group. Which is the one that does not belong to the group?
A
$1\#$
B
$EQ$
C
$2\star$
D
$U2$
Solution
(A) Let us analyze the pattern of the given options based on their positions in the sequence:
$1) 1\#$: $1$ is at the $15^{th}$ position,and $\#$ is at the $9^{th}$ position. The gap is $-6$ positions.
$2) EQ$: $E$ is at the $19^{th}$ position,and $Q$ is at the $16^{th}$ position. The gap is $-3$ positions.
$3) 2\star$: $2$ is at the $20^{th}$ position,and $\star$ is at the $17^{th}$ position. The gap is $-3$ positions.
$4) U2$: $U$ is at the $23^{rd}$ position,and $2$ is at the $20^{th}$ position. The gap is $-3$ positions.
In options $B, C,$ and $D$,the second element is $3$ positions to the left of the first element. However,in option $A$ $(1\#)$,the second element is $6$ positions to the left of the first element. Therefore,$1\#$ does not belong to the group.
$1) 1\#$: $1$ is at the $15^{th}$ position,and $\#$ is at the $9^{th}$ position. The gap is $-6$ positions.
$2) EQ$: $E$ is at the $19^{th}$ position,and $Q$ is at the $16^{th}$ position. The gap is $-3$ positions.
$3) 2\star$: $2$ is at the $20^{th}$ position,and $\star$ is at the $17^{th}$ position. The gap is $-3$ positions.
$4) U2$: $U$ is at the $23^{rd}$ position,and $2$ is at the $20^{th}$ position. The gap is $-3$ positions.
In options $B, C,$ and $D$,the second element is $3$ positions to the left of the first element. However,in option $A$ $(1\#)$,the second element is $6$ positions to the left of the first element. Therefore,$1\#$ does not belong to the group.
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View Solution424
MediumMCQ
These questions are based on the following arrangement. Study it carefully and answer the questions.
$8 ,H ,\% ,3,7 ,T,A ,4 ,\# ,6 ,B,I ,@ ,R ,1 ,Q ,\star, L,E ,2 ,K ,\$ ,U ,5,9$
How many such symbols are in the above arrangement each of which is immediately followed by a number but not immediately preceded by another number?
A
None
B
One
C
Two
D
Three
Solution
$SYMBOL\,/LETTER - SYMBOL - NUMBER$
Such combination is only one:
$H\,\% \,3$
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View Solution425
MediumMCQ
These questions are based on the following arrangement. Study it carefully and answer the questions.
$8 ,H ,\% ,3,7 ,T,A ,4 ,\# ,6 ,B,I ,@ ,R ,1 ,Q ,\star, L,E ,2 ,K ,\$ ,U ,5,9$
If all the symbols are dropped from the above arrangement, which element will be ninth from the left end ?
A
$B$
B
$6$
C
$4$
D
$1$
Solution
There are only two symbols in the first $11$ terms. Hence, required answer will be:
$11 th$ from left i.e., $B$
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View Solution426
MediumMCQ
These questions are based on the following arrangement. Study it carefully and answer the questions.
$8 ,H ,\% ,3,7 ,T,A ,4 ,\# ,6 ,B,I ,@ ,R ,1 ,Q ,\star, L,E ,2 ,K ,\$ ,U ,5,9$
What will come in place of the question mark in the following series based on the above arrangement?
$7T3,4\#A,BI6,?$
A
$R@1$
B
$IQR$
C
$R1@$
D
$Q\star1$
Solution
$7 \stackrel{+3}{\longrightarrow} 4 \stackrel{+3}{\longrightarrow} B \stackrel{+3}{\longrightarrow} R$
$T \stackrel{+3}{\longrightarrow} \# \stackrel{+3}{\longrightarrow} I \stackrel{+3}{\longrightarrow} 1$
$3 \stackrel{+3}{\longrightarrow} A \stackrel{+3}{\longrightarrow} 6 \stackrel{+3}{\longrightarrow} @$
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View Solution427
MediumMCQ
To answer these questions, study the following arrangement of digits, letters and symbols carefully.
$6, N, P, =, @, 7, 1, \&, R, T, 3, L, B, \star, E, 4, \#, 8, G, H, \$, 5, K, M, ?, 2, D, C$
'$= N$' is to '$T 1$' and '$B 3$' is to '$G 4$' in the same way as '$EB$' is to
A
$SH$
B
$ \$ 8$
C
$ \$ G$
D
$SG$
Solution
$= \stackrel{-2}{\longrightarrow} N : T \stackrel{-3}{\longrightarrow} 1, B \stackrel{-2}{\longrightarrow} 3 : G \stackrel{-3}{\longrightarrow} 4$
$E \stackrel{-2}{\longrightarrow} B : \$ \stackrel{-3}{\longrightarrow} 8$
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View Solution428
MediumMCQ
To answer these questions, study the following arrangement of digits, letters and symbols carefully.
$6, N,P ,=,@, 7,1 ,\& , R, T, 3, L, ,B, \star, E ,4,\# , 8, G,H ,\$, 5, K,M ,?, 2, D,C$
If all the letters in the arrangement are deleted, which of the following will be the third to the right of the $11^{th}$ element from the right end?
A
$\star$
B
$\&$
C
$1$
D
$©$
Solution
New arrangement would be as follows:
$6,=,@ ,7,1, \& ,3 ,\star, 4 ,\#, 8, \$ ,5 ,? ,2$
In new arrangement $,11^{th}$ element from right and $3^{rd}$ element to right from $11^{th}$ element is $\star$
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View Solution429
MediumMCQ
To answer these questions, study the following arrangement of digits, letters and symbols carefully.
$6, N,P ,=,@, 7,1 ,\& , R, T, 3, L, ,B, \star, E ,4,\# , 8, G,H ,\$, 5, K,M ,?, 2, D,C$
Four of the following five are alike in a certain way based on the positions of the elements in the arrangement and hence form a group. Which one does not belong to the group?
A
$P=76$
B
$\&T37$
C
$3L\star R$
D
$\# 8HE$
Solution
$P \stackrel{+1}{\longrightarrow}= \stackrel{+2}{\longrightarrow} 7 \stackrel{-5}{\longrightarrow} 6$
$\& \stackrel{+2}{\longrightarrow} T \stackrel{+1}{\longrightarrow} 3 \stackrel{-5}{\longrightarrow} 7 \quad($ not $+1,+1,-5$)
$3 \stackrel{+1}{\longrightarrow} L \stackrel{+2}{\longrightarrow} \star \stackrel{-5}{\longrightarrow}R$
$\# \stackrel{+1}{\longrightarrow}8\stackrel{+2}{\longrightarrow} H \stackrel{-5}{\longrightarrow} E$
$5 \stackrel{+1}{\longrightarrow} K \stackrel{+2}{\longrightarrow} ? \stackrel{-5}{\longrightarrow} H$
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View Solution430
MediumMCQ
To answer these questions, study the following arrangement of digits, letters and symbols carefully.
$6, N,P ,=,@, 7,1 ,\&, R, T, 3, L, ,B, \star, E ,4,\# ,8, G,H ,\$, 5, K,M ,?, 2, D,C$
If all the digits in the arrangement are deleted, which of the following will be midway between the $3^{rd}$ and the $15^{th}$ elements from the left end?
A
$T$
B
$\star$
C
$L$
D
$B$
Solution
New arrangement would be as follows:
$N,P, =,@ ,\& ,R,T, L,B ,\star, E, \# ,G,H, \$, K,M, ?, D,C$
In new arrangement, $3 rd$ element from left is $'='$ and $15 th$ element is '\$'. $B$ is exactly between $'='$ and '\$'.
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View Solution431
MediumMCQ
To answer these questions, study the following arrangement of digits, letters and symbols carefully.
$6, N,P ,=,@, 7,1 ,\&, R, T, 3, L, ,B, \star, E ,4,\# , 8, G,H ,\$, 5, K,M ,?, 2, D,C$
How many such digits are there in the arrangement each of which is immediately followed by a symbol but not immediately preceded by a letter?
A
Nil
B
Three
C
One
D
Four
Solution
$7\,1\, \&$
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View Solution432
MediumMCQ
To answer these questions, study the following arrangement of digits, letters and symbols carefully.
$6, N,P ,=,@, 7,1 ,\& , R, T, 3, L, ,B, \star, E ,4,\# , 8, G,H ,\$, 5, K,M ,?, 2, D,C$
If all the symbols in the arrangement are deleted, which of the following will be the $4^{th}$ to the left of the $12^{th}$ element from the left end?
A
$G$
B
$L$
C
$3$
D
$H$
Solution
New arrangement would be as follows:
$6, N, P, 7,1 ,R ,T, 3, L,B ,E ,4,8 ,G,H, 5, K,M ,2 ,D,C$
In new arrangement $, 12^{th}$ element from left is $4$ and $4^{th}$ element to its left $4$ is $3 .$
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View Solution433
MediumMCQ
If the digits in the number $5, 7, 3, 4, 6, 2, 9$ are arranged in ascending order from left to right,how many digits will remain at the same position?
A
None
B
One
C
Two
D
Three
Solution
(B) The original number is $5, 7, 3, 4, 6, 2, 9$.
Arranging these digits in ascending order gives: $2, 3, 4, 5, 6, 7, 9$.
Comparing the two sequences:
Original: $5, 7, 3, 4, 6, 2, 9$
Arranged: $2, 3, 4, 5, 6, 7, 9$
We observe that the digit $6$ is at the $5^{th}$ position in both sequences.
Therefore,only $1$ digit remains at the same position.
Arranging these digits in ascending order gives: $2, 3, 4, 5, 6, 7, 9$.
Comparing the two sequences:
Original: $5, 7, 3, 4, 6, 2, 9$
Arranged: $2, 3, 4, 5, 6, 7, 9$
We observe that the digit $6$ is at the $5^{th}$ position in both sequences.
Therefore,only $1$ digit remains at the same position.
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View Solution434
MediumMCQ
These questions are based on the following set of numbers.
$738, 495, 329, 653, 849$
If in each number the first and the third digits are interchanged and the newly formed numbers are arranged in ascending order,which number will be the third?
$738, 495, 329, 653, 849$
If in each number the first and the third digits are interchanged and the newly formed numbers are arranged in ascending order,which number will be the third?
A
$738$
B
$495$
C
$329$
D
$653$
Solution
(A) Step $1$: Interchange the first and third digits of each number:
$738 \rightarrow 837$
$495 \rightarrow 594$
$329 \rightarrow 923$
$653 \rightarrow 356$
$849 \rightarrow 948$
Step $2$: Arrange the new numbers in ascending order:
$356, 594, 837, 923, 948$
Step $3$: Identify the third number in the sequence:
The third number is $837$,which corresponds to the original number $738$.
$738 \rightarrow 837$
$495 \rightarrow 594$
$329 \rightarrow 923$
$653 \rightarrow 356$
$849 \rightarrow 948$
Step $2$: Arrange the new numbers in ascending order:
$356, 594, 837, 923, 948$
Step $3$: Identify the third number in the sequence:
The third number is $837$,which corresponds to the original number $738$.
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View Solution435
MediumMCQ
These questions are based on the following set of numbers.
$738, 495, 329, 653, 849$
If $1$ is added to the first digit of each number and $1$ is subtracted from the second digit,which number will be the largest?
$738, 495, 329, 653, 849$
If $1$ is added to the first digit of each number and $1$ is subtracted from the second digit,which number will be the largest?
A
$738$
B
$495$
C
$329$
D
$849$
Solution
(D) Given the set of numbers: $738, 495, 329, 653, 849$.
Applying the rule: Add $1$ to the first digit and subtract $1$ from the second digit:
$738 \rightarrow (7+1)(3-1)8 = 828$
$495 \rightarrow (4+1)(9-1)5 = 585$
$329 \rightarrow (3+1)(2-1)9 = 419$
$653 \rightarrow (6+1)(5-1)3 = 743$
$849 \rightarrow (8+1)(4-1)9 = 939$
Comparing the new numbers: $828, 585, 419, 743, 939$.
The largest number is $939$,which corresponds to the original number $849$.
Applying the rule: Add $1$ to the first digit and subtract $1$ from the second digit:
$738 \rightarrow (7+1)(3-1)8 = 828$
$495 \rightarrow (4+1)(9-1)5 = 585$
$329 \rightarrow (3+1)(2-1)9 = 419$
$653 \rightarrow (6+1)(5-1)3 = 743$
$849 \rightarrow (8+1)(4-1)9 = 939$
Comparing the new numbers: $828, 585, 419, 743, 939$.
The largest number is $939$,which corresponds to the original number $849$.
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View Solution436
MediumMCQ
These questions are based on the following set of numbers.
$738, 495, 329, 653, 849$
If in each number the positions of the first and the second digits are interchanged,which number will be the smallest?
$738, 495, 329, 653, 849$
If in each number the positions of the first and the second digits are interchanged,which number will be the smallest?
A
$738$
B
$495$
C
$329$
D
$653$
Solution
(C) To find the smallest number after interchanging the first and second digits,we perform the operation on each number:
$738 \rightarrow 378$
$495 \rightarrow 945$
$329 \rightarrow 239$
$653 \rightarrow 563$
$849 \rightarrow 489$
Comparing the resulting numbers: $239, 378, 489, 563, 945$.
The smallest number is $239$,which corresponds to the original number $329$.
$738 \rightarrow 378$
$495 \rightarrow 945$
$329 \rightarrow 239$
$653 \rightarrow 563$
$849 \rightarrow 489$
Comparing the resulting numbers: $239, 378, 489, 563, 945$.
The smallest number is $239$,which corresponds to the original number $329$.
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View Solution437
MediumMCQ
These questions are based on the following set of numbers.
$738, 495, 329, 653, 849$
If $1$ is subtracted from the last digit as well as the first digit and then the second and third digits are interchanged,which number will be the second if arranged in ascending order?
$738, 495, 329, 653, 849$
If $1$ is subtracted from the last digit as well as the first digit and then the second and third digits are interchanged,which number will be the second if arranged in ascending order?
A
$653$
B
$849$
C
$495$
D
$738$
Solution
(C) Step $1$: Subtract $1$ from the first and last digits of each number:
$738 \rightarrow 637$
$495 \rightarrow 394$
$329 \rightarrow 228$
$653 \rightarrow 552$
$849 \rightarrow 748$
Step $2$: Interchange the second and third digits of the resulting numbers:
$637 \rightarrow 673$
$394 \rightarrow 349$
$228 \rightarrow 282$
$552 \rightarrow 525$
$748 \rightarrow 784$
Step $3$: Arrange the new numbers in ascending order:
$282 < 349 < 525 < 673 < 784$
The second number in the ascending order is $349$,which corresponds to the original number $495$.
$738 \rightarrow 637$
$495 \rightarrow 394$
$329 \rightarrow 228$
$653 \rightarrow 552$
$849 \rightarrow 748$
Step $2$: Interchange the second and third digits of the resulting numbers:
$637 \rightarrow 673$
$394 \rightarrow 349$
$228 \rightarrow 282$
$552 \rightarrow 525$
$748 \rightarrow 784$
Step $3$: Arrange the new numbers in ascending order:
$282 < 349 < 525 < 673 < 784$
The second number in the ascending order is $349$,which corresponds to the original number $495$.
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View Solution438
MediumMCQ
These questions are based on the following set of numbers.
$738, 495, 329, 653, 849$
If $1$ is subtracted from the last digit of each number and then the numbers are arranged in descending order,which number will be the first?
$738, 495, 329, 653, 849$
If $1$ is subtracted from the last digit of each number and then the numbers are arranged in descending order,which number will be the first?
A
$653$
B
$849$
C
$495$
D
$738$
Solution
(B) Step $1$: Subtract $1$ from the last digit of each number:
$738 \rightarrow 737$
$495 \rightarrow 494$
$329 \rightarrow 328$
$653 \rightarrow 652$
$849 \rightarrow 848$
Step $2$: Arrange the resulting numbers in descending order:
$848, 737, 652, 494, 328$
Step $3$: The first number in the descending order is $848$,which corresponds to the original number $849$.
$738 \rightarrow 737$
$495 \rightarrow 494$
$329 \rightarrow 328$
$653 \rightarrow 652$
$849 \rightarrow 848$
Step $2$: Arrange the resulting numbers in descending order:
$848, 737, 652, 494, 328$
Step $3$: The first number in the descending order is $848$,which corresponds to the original number $849$.
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View Solution439
MediumMCQ
How many such digits are there in the number $8,3,1,6,5$ each of which is as far away from the beginning of the number as when the digits are rearranged in ascending order within the number?
A
None
B
One
C
Two
D
Three
Solution
(C) The original number is $8, 3, 1, 6, 5$.
Arrange the digits of the number in ascending order: $1, 3, 5, 6, 8$.
Now,compare the positions of the digits in both arrangements:
Original: $8, 3, 1, 6, 5$
Ascending: $1, 3, 5, 6, 8$
Comparing the positions:
- $1^{st}$ digit: $8 \neq 1$
- $2^{nd}$ digit: $3 = 3$ (Match)
- $3^{rd}$ digit: $1 \neq 5$
- $4^{th}$ digit: $6 = 6$ (Match)
- $5^{th}$ digit: $5 \neq 8$
The digits $3$ and $6$ remain in the same position.
Therefore,there are $2$ such digits.
Arrange the digits of the number in ascending order: $1, 3, 5, 6, 8$.
Now,compare the positions of the digits in both arrangements:
Original: $8, 3, 1, 6, 5$
Ascending: $1, 3, 5, 6, 8$
Comparing the positions:
- $1^{st}$ digit: $8 \neq 1$
- $2^{nd}$ digit: $3 = 3$ (Match)
- $3^{rd}$ digit: $1 \neq 5$
- $4^{th}$ digit: $6 = 6$ (Match)
- $5^{th}$ digit: $5 \neq 8$
The digits $3$ and $6$ remain in the same position.
Therefore,there are $2$ such digits.
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View Solution440
MediumMCQ
What would come next in the following number sequence?
$2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 2, 3, 4$
$2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 2, 3, 4$
A
$6$
B
$5$
C
$8$
D
$9$
Solution
(B) The given sequence follows a pattern of increasing groups of numbers starting with $2$:
Group $1$: $2, 3$
Group $2$: $2, 3, 4$
Group $3$: $2, 3, 4, 5$
Group $4$: $2, 3, 4, 5, 6$
Group $5$: $2, 3, 4, 5, 6, 7$
Group $6$: $2, 3, 4, \dots$
The sequence is formed by concatenating these groups: $(2, 3), (2, 3, 4), (2, 3, 4, 5), (2, 3, 4, 5, 6), (2, 3, 4, 5, 6, 7), (2, 3, 4, \dots)$.
In the last part,the sequence is $2, 3, 4, \dots$. The next number after $4$ in this group is $5$.
Group $1$: $2, 3$
Group $2$: $2, 3, 4$
Group $3$: $2, 3, 4, 5$
Group $4$: $2, 3, 4, 5, 6$
Group $5$: $2, 3, 4, 5, 6, 7$
Group $6$: $2, 3, 4, \dots$
The sequence is formed by concatenating these groups: $(2, 3), (2, 3, 4), (2, 3, 4, 5), (2, 3, 4, 5, 6), (2, 3, 4, 5, 6, 7), (2, 3, 4, \dots)$.
In the last part,the sequence is $2, 3, 4, \dots$. The next number after $4$ in this group is $5$.
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View Solution441
MediumMCQ
The following question is based on the five three-digit numbers given:
$513, 248, 371, 634, 167$
Which of the following is the middle digit of the second highest number among these numbers?
$513, 248, 371, 634, 167$
Which of the following is the middle digit of the second highest number among these numbers?
A
$1$
B
$4$
C
$7$
D
$3$
Solution
(A) First,arrange the given numbers in descending order:
$634 > 513 > 371 > 248 > 167$
The highest number is $634$.
The second highest number is $513$.
The middle digit of $513$ is $1$.
$634 > 513 > 371 > 248 > 167$
The highest number is $634$.
The second highest number is $513$.
The middle digit of $513$ is $1$.
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View Solution442
MediumMCQ
Following questions are based on the five three-digit numbers given.
$513, 248, 371, 634, 167$
Which of the following is the last digit of the middle number when they are arranged in ascending order?
$513, 248, 371, 634, 167$
Which of the following is the last digit of the middle number when they are arranged in ascending order?
A
$3$
B
$8$
C
$1$
D
$4$
Solution
(C) To find the middle number,first arrange the given numbers in ascending order:
$167, 248, 371, 513, 634$
The middle number in this sequence is $371$.
The last digit of $371$ is $1$.
Therefore,the correct option is $C$.
$167, 248, 371, 513, 634$
The middle number in this sequence is $371$.
The last digit of $371$ is $1$.
Therefore,the correct option is $C$.
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View Solution443
MediumMCQ
Following questions are based on the five three-digit numbers given.
$513, 248, 371, 634, 167$
If the position of the first and third digits in each of these numbers are interchanged,which of the following will be the highest number among them?
$513, 248, 371, 634, 167$
If the position of the first and third digits in each of these numbers are interchanged,which of the following will be the highest number among them?
A
$513$
B
$248$
C
$371$
D
$634$
Solution
(B) To find the new numbers,we interchange the first and third digits of each given number:
$1$. $513 \rightarrow 315$
$2$. $248 \rightarrow 842$
$3$. $371 \rightarrow 173$
$4$. $634 \rightarrow 436$
$5$. $167 \rightarrow 761$
Comparing the new numbers: $315, 842, 173, 436, 761$.
The highest number is $842$,which corresponds to the original number $248$.
$1$. $513 \rightarrow 315$
$2$. $248 \rightarrow 842$
$3$. $371 \rightarrow 173$
$4$. $634 \rightarrow 436$
$5$. $167 \rightarrow 761$
Comparing the new numbers: $315, 842, 173, 436, 761$.
The highest number is $842$,which corresponds to the original number $248$.
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View Solution444
MediumMCQ
Following questions are based on the five three-digit numbers given.
$513, 248, 371, 634, 167$
If the positions of the first and the second digits in each of these numbers are interchanged,which of the following will be the lowest number among them?
$513, 248, 371, 634, 167$
If the positions of the first and the second digits in each of these numbers are interchanged,which of the following will be the lowest number among them?
A
$513$
B
$248$
C
$371$
D
$634$
Solution
(A) To find the new numbers,we interchange the first and second digits of each given number:
$513 \rightarrow 153$
$248 \rightarrow 428$
$371 \rightarrow 731$
$634 \rightarrow 364$
$167 \rightarrow 617$
Comparing the new numbers: $153, 428, 731, 364, 617$.
The lowest number among these is $153$,which corresponds to the original number $513$.
$513 \rightarrow 153$
$248 \rightarrow 428$
$371 \rightarrow 731$
$634 \rightarrow 364$
$167 \rightarrow 617$
Comparing the new numbers: $153, 428, 731, 364, 617$.
The lowest number among these is $153$,which corresponds to the original number $513$.
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View Solution445
MediumMCQ
The following question is based on the five three-digit numbers given:
$513, 248, 371, 634, 167$
Which of the following represents the sum of all three digits of the lowest number among them?
$513, 248, 371, 634, 167$
Which of the following represents the sum of all three digits of the lowest number among them?
A
$9$
B
$15$
C
$11$
D
$14$
Solution
(D) First,identify the lowest number among the given numbers: $513, 248, 371, 634, 167$.
The lowest number is $167$.
Now,calculate the sum of its digits: $1 + 6 + 7 = 14$.
Therefore,the sum of the digits of the lowest number is $14$.
The lowest number is $167$.
Now,calculate the sum of its digits: $1 + 6 + 7 = 14$.
Therefore,the sum of the digits of the lowest number is $14$.
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View Solution446
MediumMCQ
The positions of how many digits in the number $7,3,5,4,6,1,2$ will remain unchanged after the digits within the number are rearranged in descending order from left to right?
A
None
B
One
C
Two
D
Three
Solution
(D) The original number is $7, 3, 5, 4, 6, 1, 2$.
Arranging the digits in descending order from left to right gives: $7, 6, 5, 4, 3, 2, 1$.
Comparing the original and the new arrangement:
Original: $7, 3, 5, 4, 6, 1, 2$
New: $7, 6, 5, 4, 3, 2, 1$
Comparing position by position:
1st position: $7$ and $7$ (Unchanged)
2nd position: $3$ and $6$ (Changed)
3rd position: $5$ and $5$ (Unchanged)
4th position: $4$ and $4$ (Unchanged)
5th position: $6$ and $3$ (Changed)
6th position: $1$ and $2$ (Changed)
7th position: $2$ and $1$ (Changed)
The digits at the $1st$,$3rd$,and $4th$ positions remain unchanged.
Therefore,the positions of $3$ digits remain unchanged.
Arranging the digits in descending order from left to right gives: $7, 6, 5, 4, 3, 2, 1$.
Comparing the original and the new arrangement:
Original: $7, 3, 5, 4, 6, 1, 2$
New: $7, 6, 5, 4, 3, 2, 1$
Comparing position by position:
1st position: $7$ and $7$ (Unchanged)
2nd position: $3$ and $6$ (Changed)
3rd position: $5$ and $5$ (Unchanged)
4th position: $4$ and $4$ (Unchanged)
5th position: $6$ and $3$ (Changed)
6th position: $1$ and $2$ (Changed)
7th position: $2$ and $1$ (Changed)
The digits at the $1st$,$3rd$,and $4th$ positions remain unchanged.
Therefore,the positions of $3$ digits remain unchanged.
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View Solution447
MediumMCQ
Which of the following will be the middle digit of the second lowest number among the five numbers given below?
$317, 528, 439, 254, 861$
$317, 528, 439, 254, 861$
A
$1$
B
$2$
C
$3$
D
$5$
Solution
(A) First,we list the given numbers: $317, 528, 439, 254, 861$.
Next,we arrange these numbers in ascending order:
$254 < 317 < 439 < 528 < 861$.
The lowest number is $254$.
The second lowest number is $317$.
The middle digit of $317$ is $1$.
Next,we arrange these numbers in ascending order:
$254 < 317 < 439 < 528 < 861$.
The lowest number is $254$.
The second lowest number is $317$.
The middle digit of $317$ is $1$.
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View Solution448
MediumMCQ
The positions of the first and the second digits in the number $7986032451$ are interchanged. Similarly,the positions of the third and fourth digits are interchanged,and so on. Which of the following will be the fifth digit from the right end after the rearrangement?
A
$3$
B
$6$
C
$4$
D
$0$
Solution
(D) The original number is $7986032451$.
Interchanging the positions of the first and second,third and fourth,fifth and sixth,seventh and eighth,and ninth and tenth digits:
Original: $7, 9, 8, 6, 0, 3, 2, 4, 5, 1$
Rearranged: $9, 7, 6, 8, 3, 0, 4, 2, 1, 5$
Now,we need to find the fifth digit from the right end.
The digits from the right end are: $5$ (1st),$1$ (2nd),$2$ (3rd),$4$ (4th),$0$ (5th).
Therefore,the fifth digit from the right end is $0$.
Interchanging the positions of the first and second,third and fourth,fifth and sixth,seventh and eighth,and ninth and tenth digits:
Original: $7, 9, 8, 6, 0, 3, 2, 4, 5, 1$
Rearranged: $9, 7, 6, 8, 3, 0, 4, 2, 1, 5$
Now,we need to find the fifth digit from the right end.
The digits from the right end are: $5$ (1st),$1$ (2nd),$2$ (3rd),$4$ (4th),$0$ (5th).
Therefore,the fifth digit from the right end is $0$.
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View Solution449
MediumMCQ
What should come next in the following number sequence?
$2, 2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 2, 3, 4$
$2, 2, 3, 2, 3, 4, 2, 3, 4, 5, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 7, 2, 3, 4$
A
$8$
B
$5$
C
$6$
D
$2$
Solution
(B) The sequence follows a pattern of increasing sub-sequences starting with $2$:
Group $1$: $2$
Group $2$: $2, 3$
Group $3$: $2, 3, 4$
Group $4$: $2, 3, 4, 5$
Group $5$: $2, 3, 4, 5, 6$
Group $6$: $2, 3, 4, 5, 6, 7$
Group $7$: $2, 3, 4, ...$
The next number in the sequence after $2, 3, 4$ is $5$.
Group $1$: $2$
Group $2$: $2, 3$
Group $3$: $2, 3, 4$
Group $4$: $2, 3, 4, 5$
Group $5$: $2, 3, 4, 5, 6$
Group $6$: $2, 3, 4, 5, 6, 7$
Group $7$: $2, 3, 4, ...$
The next number in the sequence after $2, 3, 4$ is $5$.
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View Solution450
MediumMCQ
How many such digits are there in the number $5231698$ each of which is as far away from the beginning of the number as when the digits are rearranged in ascending order?
A
None
B
One
C
Two
D
Three
Solution
(D) The given number is $5231698$.
First,we arrange the digits of the number in ascending order:
Original number: $5, 2, 3, 1, 6, 9, 8$
Ascending order: $1, 2, 3, 5, 6, 8, 9$
Now,we compare the positions of the digits:
Original: $5, 2, 3, 1, 6, 9, 8$
Arranged: $1, 2, 3, 5, 6, 8, 9$
Comparing the positions:
- $1^{st}$ digit: $5$ vs $1$ (Different)
- $2^{nd}$ digit: $2$ vs $2$ (Same)
- $3^{rd}$ digit: $3$ vs $3$ (Same)
- $4^{th}$ digit: $1$ vs $5$ (Different)
- $5^{th}$ digit: $6$ vs $6$ (Same)
- $6^{th}$ digit: $9$ vs $8$ (Different)
- $7^{th}$ digit: $8$ vs $9$ (Different)
The digits that remain in the same position are $2, 3,$ and $6$.
Therefore,there are $3$ such digits.
First,we arrange the digits of the number in ascending order:
Original number: $5, 2, 3, 1, 6, 9, 8$
Ascending order: $1, 2, 3, 5, 6, 8, 9$
Now,we compare the positions of the digits:
Original: $5, 2, 3, 1, 6, 9, 8$
Arranged: $1, 2, 3, 5, 6, 8, 9$
Comparing the positions:
- $1^{st}$ digit: $5$ vs $1$ (Different)
- $2^{nd}$ digit: $2$ vs $2$ (Same)
- $3^{rd}$ digit: $3$ vs $3$ (Same)
- $4^{th}$ digit: $1$ vs $5$ (Different)
- $5^{th}$ digit: $6$ vs $6$ (Same)
- $6^{th}$ digit: $9$ vs $8$ (Different)
- $7^{th}$ digit: $8$ vs $9$ (Different)
The digits that remain in the same position are $2, 3,$ and $6$.
Therefore,there are $3$ such digits.
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