CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 53. What is the absolute difference between the number and the number formed by reversing its digits?
A. 9
B. 18
C. 2
D. 27
Correct Answer: B
Reversed number = 35. Absolute difference = |53 - 35| = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 7, 14, 28, 56, 112, ?
A. 226
B. 224
C. 114
D. 112
Correct Answer: B
Each term is multiplied by 2. Therefore 112 × 2 = 224.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 82, 87, 85, 90, 88, 93, ?
A. 98
B. 86
C. 93
D. 91
Correct Answer: D
The operations alternate +5, -2. After the last +5, subtract 2: 93 - 2 = 91.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 12, 19, 38, 75, ?
A. 141
B. 61
C. 125
D. 136
Correct Answer: D
Each term is n³ + 11. Thus the next term is 5³ + 11 = 136.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 16 and 26.
A. 208
B. 416
C. 210
D. 26
Correct Answer: A
LCM = (16 × 26) ÷ HCF(16,26) = 208.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 13, 4, and 6?
A. 156
B. 160
C. 13
D. 312
Correct Answer: A
The required number is LCM(13, 4, 6) = 156.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 7, 17, 37, 77, 157, ?
A. 314
B. 317
C. 320
D. 315
Correct Answer: B
Each term is obtained by ×2 + 3. So 157 × 2 + 3 = 317.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 35 to 370, inclusive, are divisible by 14?
A. 23
B. 24
C. 25
D. 26
Correct Answer: B
Count = ⌊370/14⌋ - ⌊(35-1)/14⌋ = 26 - 2 = 24.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 5, 15, 45, 135, 405, ?
A. 1218
B. 1215
C. 408
D. 405
Correct Answer: B
Each term is multiplied by 3. Therefore 405 × 3 = 1215.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 23, 36, 51, 68, 87, ?
A. 127
B. 108
C. 110
D. 106
Correct Answer: B
The first differences are [13, 15, 17, 19]; their second difference is constant at 2. Continuing the pattern gives 108.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 10 that is less than 4822?
A. 4810
B. 4820
C. 4821
D. 4830
Correct Answer: B
4822 ÷ 10 has integer quotient 482; 10 × 482 = 4820.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 11, 36, 111, 336, 1011, ?
A. 3033
B. 3339
C. 3039
D. 3036
Correct Answer: D
Each term is obtained by ×3 + 3. So 1011 × 3 + 3 = 3036.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 8, 18, 38, 78, ?
A. 158
B. 173
C. 160
D. 156
Correct Answer: A
Each term is obtained by ×2 + 2. So 78 × 2 + 2 = 158.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 13, 20, 39, 76, ?
A. 137
B. 125
C. 142
D. 62
Correct Answer: A
Each term is n³ + 12. Thus the next term is 5³ + 12 = 137.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 175 have?
A. 5
B. 8
C. 7
D. 6
Correct Answer: D
175 = 7^1 × 5^2. Number of divisors = (1+1)(2+1) = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 87, 92, ?, 102, 107, 112
A. 102
B. 107
C. 92
D. 97
Correct Answer: D
This is an arithmetic series with common difference 5; the missing term is 97.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 567x divisible by 9?
A. 5
B. 0
C. 1
D. 3
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 5+6+7+x must be a multiple of 9, giving x = 0.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 128! ?
A. 31
B. 30
C. 12
D. 32
Correct Answer: A
Trailing zeros = ⌊128/5⌋ + ⌊128/25⌋ + ... = 25 + 5 + 1 = 31.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 343 so that the result is exactly divisible by 17?
A. 3
B. 31
C. 14
D. 15
Correct Answer: C
343 leaves remainder 3 on division by 17. Add 17 - 3 = 14.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 12, 16, 25, 41, 66, ?
A. 91
B. 96
C. 102
D. 108
Correct Answer: C
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 102.