CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 108! ?
A. 26
B. 24
C. 10
D. 25
Correct Answer: D
Trailing zeros = ⌊108/5⌋ + ⌊108/25⌋ + ... = 21 + 4 = 25.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 23, 34, 47, 62, 79, ?
A. 96
B. 98
C. 100
D. 115
Correct Answer: B
The first differences are [11, 13, 15, 17]; their second difference is constant at 2. Continuing the pattern gives 98.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 66, 71, ?, 81, 86, 91
A. 81
B. 86
C. 71
D. 76
Correct Answer: D
This is an arithmetic series with common difference 5; the missing term is 76.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 606x divisible by 9?
A. 9
B. 7
C. 1
D. 6
Correct Answer: D
A number is divisible by 9 when its digit sum is divisible by 9. Thus 6+0+6+x must be a multiple of 9, giving x = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 36, 38, 43, 51, 62, ?
A. 64
B. 79
C. 73
D. 76
Correct Answer: D
The differences are 2, 5, 8, 11, increasing by 3. The next difference is 14, so the answer is 76.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 15, 60, 300, 1800, ?
A. 10800
B. 12600
C. 1800
D. 12607
Correct Answer: B
The multipliers are ×3, ×4, ×5, ×6; the next multiplier is ×7. Thus 1800 × 7 = 12600.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 72^90?
A. 0
B. 4
C. 6
D. 8
Correct Answer: B
Units digits repeat cyclically; applying the cycle for base 72 gives units digit 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 9, 16, 23, 30, 37, ?
A. 37
B. 58
C. 44
D. 51
Correct Answer: C
The common difference is 7. So the next term is 37 + 7 = 44.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 11, 13, 17, 23, 31, ?
A. 39
B. 43
C. 41
D. 33
Correct Answer: C
The differences are 2, 4, 6, 8, increasing by 2. The next difference is 10, so the answer is 41.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 2 and LCM 312. What is their product?
A. 626
B. 314
C. 624
D. 312
Correct Answer: C
For two positive integers, product = HCF × LCM = 2 × 312 = 624.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 97, 102, 96, 101, 95, 100, ?
A. 105
B. 100
C. 94
D. 89
Correct Answer: C
The operations alternate +5, -6. After the last +5, subtract 6: 100 - 6 = 94.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 34, 52, 74, 100, 130, ?
A. 200
B. 166
C. 164
D. 128
Correct Answer: C
The terms follow 2n² + 2 for consecutive n. For n = 9, the term is 2×9² + 2 = 164.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 9, 12, 17, 24, 35, ?
A. 48
B. 35
C. 59
D. 50
Correct Answer: A
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 48.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 13, 49, 16, 52, 19, 55, ?
A. 25
B. 58
C. 19
D. 22
Correct Answer: D
Odd-position terms are 13, 16, 19, ... with difference 3. Hence the next odd-position term is 22.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 29 to 276, inclusive, are divisible by 13?
A. 19
B. 21
C. 20
D. 18
Correct Answer: A
Count = ⌊276/13⌋ - ⌊(29-1)/13⌋ = 21 - 2 = 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 5, 13, 29, 61, ?
A. 125
B. 122
C. 123
D. 128
Correct Answer: A
Each term is obtained by ×2 + 3. So 61 × 2 + 3 = 125.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 8, 10, and 9?
A. 360
B. 368
C. 10
D. 720
Correct Answer: A
The required number is LCM(8, 10, 9) = 360.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 55 and 20.
A. 6
B. 10
C. 5
D. 2
Correct Answer: C
The greatest common divisor of 55 and 20 is 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 16, 18, 21, 25, 30, ?
A. 32
B. 36
C. 35
D. 37
Correct Answer: B
The differences are 2, 3, 4, 5, increasing by 1. The next difference is 6, so the answer is 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 6, 24, 30, 54, 84, 138, ?
A. 252
B. 276
C. 222
D. 168
Correct Answer: C
Each term is the sum of the previous two. Therefore 84 + 138 = 222.