CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 11, 28, 45, 62, 79, ?
A. 113
B. 96
C. 130
D. 79
Correct Answer: B
The common difference is 17. So the next term is 79 + 17 = 96.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 22, 47, 83, 132, ?
A. 204
B. 196
C. 188
D. 181
Correct Answer: B
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 196.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 25, 45, 73, 109, 153, ?
A. 205
B. 209
C. 149
D. 261
Correct Answer: A
The terms follow 4n² + 9 for consecutive n. For n = 7, the term is 4×7² + 9 = 205.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 77, 82, 87, 92, 97, ?
A. 112
B. 107
C. 102
D. 97
Correct Answer: C
The common difference is 5. So the next term is 97 + 5 = 102.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 741x divisible by 9?
A. 1
B. 9
C. 6
D. 7
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 7+4+1+x must be a multiple of 9, giving x = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 52. What is the absolute difference between the number and the number formed by reversing its digits?
A. 27
B. 3
C. 18
D. 36
Correct Answer: A
Reversed number = 25. Absolute difference = |52 - 25| = 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 21 have?
A. 3
B. 4
C. 6
D. 5
Correct Answer: B
21 = 7^1 × 3^1. Number of divisors = (1+1)(1+1) = 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 536 is divided by 7?
A. 6
B. 4
C. 0
D. 5
Correct Answer: B
536 = 7 × 76 + 4; therefore the remainder is 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 12, 20, 32, 52, 84, 136, ?
A. 252
B. 220
C. 272
D. 168
Correct Answer: B
Each term is the sum of the previous two. Therefore 84 + 136 = 220.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 4, 78, 6, 76, 8, 74, ?
A. 8
B. 10
C. 72
D. 12
Correct Answer: B
Odd-position terms are 4, 6, 8, ... with difference 2. Hence the next odd-position term is 10.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 886 so that the result is exactly divisible by 9?
A. 3
B. 13
C. 5
D. 4
Correct Answer: D
The remainder is 4; subtracting the remainder makes the number divisible by 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 8, 13, 20, 29, 40, ?
A. 64
B. 55
C. 51
D. 53
Correct Answer: D
The first differences are [5, 7, 9, 11]; their second difference is constant at 2. Continuing the pattern gives 53.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 55 classified?
A. Neither prime nor composite
B. Irrational
C. Prime
D. Composite
Correct Answer: D
55 = 11 × 5, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √61.
A. Rational
B. Irrational
C. Whole number
D. Prime number
Correct Answer: B
61 is not a perfect square, so √61 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 29. What is the absolute difference between the number and the number formed by reversing its digits?
A. 7
B. 72
C. 54
D. 63
Correct Answer: D
Reversed number = 92. Absolute difference = |29 - 92| = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 46. What is the absolute difference between the number and the number formed by reversing its digits?
A. 27
B. 18
C. 9
D. 2
Correct Answer: B
Reversed number = 64. Absolute difference = |46 - 64| = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 78! ?
A. 7
B. 17
C. 18
D. 19
Correct Answer: C
Trailing zeros = ⌊78/5⌋ + ⌊78/25⌋ + ... = 15 + 3 = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 19/17.
A. Prime number
B. Irrational
C. Rational
D. Whole number
Correct Answer: C
19/17 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 4, 12, 36, 108, 324, ?
A. 327
B. 324
C. 972
D. 975
Correct Answer: C
Each term is multiplied by 3. Therefore 324 × 3 = 972.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 85, 91, 97, ?, 109, 115
A. 109
B. 115
C. 97
D. 103
Correct Answer: D
This is an arithmetic series with common difference 6; the missing term is 103.