CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 24, 27, 32, 39, 50, ?
A. 74
B. 65
C. 50
D. 63
Correct Answer: D
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 27/5.
A. Irrational
B. Prime number
C. Rational
D. Whole number
Correct Answer: C
27/5 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 alternating series: 4, 77, 7, 75, 10, 73, ?
A. 13
B. 71
C. 16
D. 10
Correct Answer: A
Odd-position terms are 4, 7, 10, ... with difference 3. Hence the next odd-position term is 13.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 87! ?
A. 19
B. 20
C. 21
D. 8
Correct Answer: B
Trailing zeros = ⌊87/5⌋ + ⌊87/25⌋ + ... = 17 + 3 = 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 10^36?
A. 4
B. 6
C. 2
D. 0
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 10 gives units digit 0.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 42, 56, 53, 67, 64, 78, ?
A. 61
B. 78
C. 92
D. 75
Correct Answer: D
The operations alternate +14, -3. After the last +14, subtract 3: 78 - 3 = 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 24, 33, 49, 74, 110, ?
A. 146
B. 166
C. 159
D. 152
Correct Answer: C
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 159.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 355 is divided by 11?
A. 4
B. 3
C. 5
D. 6
Correct Answer: B
355 = 11 × 32 + 3; therefore the remainder is 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √60.
A. Irrational
B. Prime number
C. Whole number
D. Rational
Correct Answer: A
60 is not a perfect square, so √60 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 26, 31, 29, 33, 32, 35, ?
A. 32
B. 38
C. 35
D. 37
Correct Answer: C
Odd-position terms are 26, 29, 32, ... with difference 3. Hence the next odd-position term is 35.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 8, 27, 64, 125, ?
A. 108
B. 222
C. 237
D. 216
Correct Answer: D
Each term is n³ + 0. Thus the next term is 6³ + 0 = 216.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 7, 15, 25, 37, 51, ?
A. 65
B. 67
C. 69
D. 81
Correct Answer: B
The first differences are [8, 10, 12, 14]; their second difference is constant at 2. Continuing the pattern gives 67.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 13, 20, 33, 53, 86, 139, ?
A. 225
B. 172
C. 278
D. 258
Correct Answer: A
Each term is the sum of the previous two. Therefore 86 + 139 = 225.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 16, 36, 76, 156, ?
A. 320
B. 316
C. 314
D. 312
Correct Answer: B
Each term is obtained by ×2 + 4. So 156 × 2 + 4 = 316.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 2025 have?
A. 8
B. 14
C. 17
D. 15
Correct Answer: D
2025 = 3^4 × 5^2. Number of divisors = (4+1)(2+1) = 15.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 238. What is the smallest integer?
A. 59
B. 62
C. 58
D. 57
Correct Answer: C
Let the integers be n, n+1, ..., n+3. Their sum is 238; solving gives n = 58.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 57^88?
A. 1
B. 3
C. 7
D. 5
Correct Answer: A
Units digits repeat cyclically; applying the cycle for base 57 gives units digit 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 5 and 17.
A. 93
B. 85
C. 17
D. 86
Correct Answer: B
LCM = (5 × 17) ÷ HCF(5,17) = 85.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 522x divisible by 9?
A. 1
B. 0
C. 3
D. 5
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 5+2+2+x must be a multiple of 9, giving x = 0.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 36, 42, 50, 60, 72, ?
A. 86
B. 84
C. 88
D. 78
Correct Answer: A
The differences are 6, 8, 10, 12, increasing by 2. The next difference is 14, so the answer is 86.