A, B, C, D and E play a game of cards. A says to B, "If you give me three cards,

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Question
A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?
Options
A. 22
B. 23
C. 25
D. 35

Correct Answer

25

Explanation

Clearly, we have :

B-3 = E ...(i)

B + 3 = D ...(ii)

A+B = D + E+10 ...(iii)

B = C + 2 ...(iv)

A+B + C + D + E= 133 ...(v)

From (i) and (ii), we have : 2 B = D + E ...(vi)

From (iii) and (vi), we have : A = B + 10 ...(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B - 2) + 2B = 133 ⟺ 5B = 125 ⟺ B = 25.

More questions

5. Statements: All the books are pencils. No pencil is eraser.

Conclusions:
1. All the pencils are books.
2. Some erasers are books.
3. No book is eraser.
4. Some books are erasers.
Options
A. Only (3)
B. Only (1) and (3)
C. Only (1) and (2)
D. Only (2) and (3)
E. Only (3) and (4)

7.
If the expression E < J ? H > Z'. 'H ? Y' and 'E > F' true. Which of the following conclusions will be definitely false?
Options
A. F < Y
B. Y > E
C. F < H
D. J ? Y

9.
Which two people cannot be a part of the same team?
Options
A. I and J
B. A and D
C. B and D
D. A and C

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