CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 3375 have?
A. 16
B. 15
C. 8
D. 18
Correct Answer: A
3375 = 3^3 × 5^3. Number of divisors = (3+1)(3+1) = 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 11, 27, 52, 88, ?
A. 130
B. 137
C. 144
D. 124
Correct Answer: B
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 137.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 7, 22, 67, 202, ?
A. 607
B. 608
C. 604
D. 606
Correct Answer: A
Each term is obtained by ×3 + 1. So 202 × 3 + 1 = 607.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 631 is divided by 14?
A. 1
B. 3
C. 4
D. 2
Correct Answer: A
631 = 14 × 45 + 1; therefore the remainder is 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 8, 20, 44, 92, 188, ?
A. 384
B. 376
C. 378
D. 380
Correct Answer: D
Each term is obtained by ×2 + 4. So 188 × 2 + 4 = 380.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 38, 41, 44, 47, 50, ?
A. 53
B. 50
C. 59
D. 56
Correct Answer: A
The common difference is 3. So the next term is 50 + 3 = 53.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 280. What is the middle integer?
A. 61
B. 56
C. 55
D. 57
Correct Answer: B
The middle integer equals the average: 280 ÷ 5 = 56.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 15, 34, 21, 32, 27, 30, ?
A. 27
B. 39
C. 33
D. 28
Correct Answer: C
Odd-position terms are 15, 21, 27, ... with difference 6. Hence the next odd-position term is 33.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 316 is divided by 14?
A. 11
B. 9
C. 8
D. 10
Correct Answer: C
316 = 14 × 22 + 8; therefore the remainder is 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 8, 32, 128, 512, 2048, ?
A. 2048
B. 2052
C. 8192
D. 8196
Correct Answer: C
Each term is multiplied by 4. Therefore 2048 × 4 = 8192.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 45, 51, 57, 63, 69, ?
A. 87
B. 81
C. 69
D. 75
Correct Answer: D
The common difference is 6. So the next term is 69 + 6 = 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 25 that is less than 1663?
A. 1651
B. 1650
C. 1625
D. 1675
Correct Answer: B
1663 ÷ 25 has integer quotient 66; 25 × 66 = 1650.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 37 to 254, inclusive, are divisible by 4?
A. 54
B. 53
C. 63
D. 55
Correct Answer: A
Count = ⌊254/4⌋ - ⌊(37-1)/4⌋ = 63 - 9 = 54.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 20, 25, 33, 44, 58, ?
A. 75
B. 63
C. 78
D. 72
Correct Answer: A
The differences are 5, 8, 11, 14, increasing by 3. The next difference is 17, so the answer is 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 7, 34, 9, 31, 11, 28, ?
A. 13
B. 15
C. 11
D. 25
Correct Answer: A
Odd-position terms are 7, 9, 11, ... with difference 2. Hence the next odd-position term is 13.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 75! ?
A. 18
B. 7
C. 17
D. 19
Correct Answer: A
Trailing zeros = ⌊75/5⌋ + ⌊75/25⌋ + ... = 15 + 3 = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 34. What is the absolute difference between the number and the number formed by reversing its digits?
A. 18
B. 0
C. 1
D. 9
Correct Answer: D
Reversed number = 43. Absolute difference = |34 - 43| = 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 28, 23, 33, 15, 38, 7, ?
A. 43
B. -1
C. 48
D. 38
Correct Answer: A
Odd-position terms are 28, 33, 38, ... with difference 5. Hence the next odd-position term is 43.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 9, 18, 34, 59, ?
A. 89
B. 95
C. 84
D. 101
Correct Answer: B
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 95.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 25/15.
A. Irrational
B. Rational
C. Whole number
D. Prime number
Correct Answer: B
25/15 is a ratio of two integers with a non-zero denominator, so it is rational.