(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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Eight friends $A, B, C, D, E, F, G$ and $H$ are sitting in a circle facing the centre. $B$ is sitting between $G$ and $D$. $H$ is third to the left of $B$ and second to the right of $A$. $C$ is sitting between $A$ and $G$ and $B$ and $E$ are not sitting opposite to each other.
Which of the following statements is not correct?

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Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C.$ The one who reads last had taken from $A.$ $E$ was not the first or last to read. There were two readers between $B$ and $A.$ $B$ passed the newspaper to whom?

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Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C.$ The one who reads last had taken from $A. E$ was not the first or last to read. There were two readers between $B$ and $A.$ Who read the newspaper last?

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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.
How many games are played and subjects studied by the four friends?

Medium

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$(i)$ Kailash,Govind and Harinder are intelligent.
$(ii)$ Kailash,Rajesh and Jitendra are hard-working.
$(iii)$ Rajesh,Harinder and Jitendra are honest.
$(iv)$ Kailash,Govind and Jitendra are ambitious.
Which of the following persons is neither honest nor hard-working but is ambitious?

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Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C.$ The one who reads last had taken from $A.$ $E$ was not the first or last to read. There were two readers between $B$ and $A.$ $B$ passed the newspaper to whom?

Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C.$ The one who reads last had taken from $A. E$ was not the first or last to read. There were two readers between $B$ and $A.$ Who read the newspaper last?

$(i)$ Kailash,Govind and Harinder are intelligent.$(ii)$ Kailash,Rajesh and Jitendra are hard-working.$(iii)$ Rajesh,Harinder and Jitendra are honest.$(iv)$ Kailash,Govind and Jitendra are ambitious.Which of the following persons is neither honest nor hard-working but is ambitious?

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$(i)$ Kailash,Govind and Harinder are intelligent.
$(ii)$ Kailash,Rajesh and Jitendra are hard-working.
$(iii)$ Rajesh,Harinder and Jitendra are honest.
$(iv)$ Kailash,Govind and Jitendra are ambitious.
Which of the following persons is neither honest nor hard-working but is ambitious?