61. If the second number in expression 7 × 17 is increased by 3, the difference between new and old value will be?
(A) 3 times the second number
(B) 7 times the second number
(C) 7 times the first number
(D) 3 times the first number
Answer:
(D) 3 times the first number
Explanation:
The original value is 7 × 17. The new value is 7 × (17 + 3) = (7 × 17) + (7 × 3). The difference is just the added part: 7 × 3. This means the difference is 3 times the first number (which is 7).
62. Expand (2x + 6)^3
(A)
(B)
(C)
(D)
Answer:
(A)
Explanation:
Using the algebraic identity . Here a=2x, b=6. Expansion gives: = .
First, distribute the 1/5 into the parentheses: (1/5 * 15s) – (1/5 * 20q) = 3s – 4q. Combining this with the rest of the expression gives: 3s – 4q – 3s + 4q = 0.
64. Aman had bought 16 packets of banana chips from his Kerala trip for 8 friends. If 4 more friends joined, many packets of banana chips would be required in total to distribute among friends?
(A) 24
(B) 28
(C) 32
(D) 30
Answer:
(A) 24
Explanation:
The ratio of packets to friends is 16 packets for 8 friends, which is 2 packets per friend. If there are 8 + 4 = 12 friends in total, they will need 12 × 2 = 24 packets.
65. Choose from the following statements of proportion which is not true.
(A) 4:7 :: 12:21
(B) 21:6 :: 35:10
(C) 12:18 :: 28:18
(D) 24:8 :: 9:3
Answer:
(C) 12:18 :: 28:18
Explanation:
A proportion a:b :: c:d is true if a/b = c/d. For option (C), 12/18 simplifies to 2/3, while 28/18 simplifies to 14/9. Since 2/3 does not equal 14/9, this statement is not true.
