66. In how many ways a cricket team of 11 be chosen out of a batch of 15 players?
a) 1560
b) 1670
c) 1365
d) 1442
Answer:
c) 1365
Explanation:
This is a combination problem. 15C11 is equivalent to 15C4. (15 * 14 * 13 * 12) / (4 * 3 * 2 * 1) = 1365 ways.
67. 106 x 106 – 94 x 94 =?
a) 2400
b) 2000
c) 1904
d) 1906
Answer:
a) 2400
Explanation:
Applying the algebraic identity a² – b² = (a – b)(a + b). This gives (106 – 94) * (106 + 94) = 12 * 200 = 2400.
68. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:
a) 1/50
b) 25/117
c) 21/46
d) 3/25
Answer:
c) 21/46
Explanation:
Total ways to select 3 students from 25 is 25C3 = 2300. Ways to select 1 girl from 10 is 10C1 = 10. Ways to select 2 boys from 15 is 15C2 = 105. Total favorable ways = 10 * 105 = 1050. Probability = 1050 / 2300 = 21/46.
69. 18, 20, 10, 12, 4, 6, ?
a) 2
b) 0
c) 9
d) 1
Answer:
b) 0
Explanation:
The series alternates operations: add 2, subtract 10, add 2, subtract 8, add 2. Wait, alternating logic: 18, 10, 4 (subtract 8, then 6, next is 4 -> 0). 20, 12, 6 (subtract 8, then 6). Following the first sequence, 4 – 4 = 0.
70. Which is India’s first large state to record 100 percent first-dose vaccinations?
a) Telangana
b) Odisha
c) Tamil Nadu
d) Karnataka
Answer:
a) Telangana
Explanation:
Telangana was officially announced as the first large state in India to achieve 100% first-dose COVID-19 vaccination coverage for its targeted adult population.
