(D) Given:$A + B > C + D \dots(1)$$A + C = B + D \dots(2)$$A = \frac{1}{2}(B + D) \implies 2A = B + D \dots(3)$From $(2)$ and $(3)$,$A + C = 2A \impli

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(D) Given:$A + B > C + D \dots(1)$$A + C = B + D \dots(2)$$A = \frac{1}{2}(B + D) \implies 2A = B + D \dots(3)$From $(2)$ and $(3)$,$A + C = 2A \implies A = C$.Given $A = 80,000$,so $C = 80,000$.Also,the difference between $B$ and $D$ is equal to $A$'s income:$B - D = A = 80,000 \dots(4)$Adding $(3)$ and $(4)$:$(B + D) + (B - D) = 160,000 + 80,000$$2B = 240,000$$B = 120,000$.Thus,$B$'s income is $Rs\, 1,20,000$.

Competitive Reasoning Puzzle Test Puzzle Test

Medium

The sum of the incomes of $A$ and $B$ is more than that of $C$ and $D$ taken together. The sum of incomes of $A$ and $C$ is the same as that of $B$ and $D$ taken together. Moreover,$A$ earns half as much as the sum of the incomes of $B$ and $D$. If $A$'s income is $Rs\, 80,000$ per annum and the difference between the income of $B$ and $D$ is the same as $A$'s income,what is $B$'s income?

A
$Rs\, 40,000$
B
$Rs\, 60,000$
C
$Rs\, 80,000$
D
$Rs\, 1,20,000$

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If $(i)$ $P$ is taller than $Q$,$(ii)$ $R$ is shorter than $P$,$(iii)$ $S$ is taller than $T$ but shorter than $Q$,then who among them is the tallest?

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Pune is bigger than Jhansi,Sitapur is bigger than Chittor. Raigarh is not as big as Jhansi,but is bigger than Sitapur. Which is the smallest?

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There are four friends $A, B, C, D$. One of them is a cricketer and studies Chemistry and Biology. $A$ and $B$ play football. Both football players study Maths. $D$ is a boxer. One football player also studies Physics. The boxer studies Maths and Accounts. All the friends study two subjects each and play one game each. Who is the cricketer?

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At the end of a cricket series,when five players were arranged in the ascending order of runs scored by them,$O$ was fourth while $N$ was first. When they were arranged in descending order for wickets taken by them,$K$ replaces $O$ while $O$ replaces $L$. $M$'s position remains unchanged. $K$ has scored more runs than $M$. $L$ is having first rank in one ranking and fifth in another.
Who has taken the lowest number of wickets?

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The total income of $A$ and $B$ is greater than the total income of $C$ and $D$. The total income of $A$ and $C$ is equal to the total income of $B$ and $D$. Furthermore,the income of $A$ is equal to half the total income of $B$ and $D$. Which of the following statements is $NOT$ true?

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If $(i)$ $P$ is taller than $Q$,$(ii)$ $R$ is shorter than $P$,$(iii)$ $S$ is taller than $T$ but shorter than $Q$,then who among them is the tallest?

Pune is bigger than Jhansi,Sitapur is bigger than Chittor. Raigarh is not as big as Jhansi,but is bigger than Sitapur. Which is the smallest?

The total income of $A$ and $B$ is greater than the total income of $C$ and $D$. The total income of $A$ and $C$ is equal to the total income of $B$ and $D$. Furthermore,the income of $A$ is equal to half the total income of $B$ and $D$. Which of the following statements is $NOT$ true?

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