CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 28, 45, 62, 79, 96, ?
A. 96
B. 113
C. 130
D. 147
Correct Answer: B
The common difference is 17. So the next term is 96 + 17 = 113.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 83! ?
A. 8
B. 19
C. 18
D. 20
Correct Answer: B
Trailing zeros = ⌊83/5⌋ + ⌊83/25⌋ + ... = 16 + 3 = 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 50 to 431, inclusive, are divisible by 4?
A. 95
B. 94
C. 107
D. 96
Correct Answer: A
Count = ⌊431/4⌋ - ⌊(50-1)/4⌋ = 107 - 12 = 95.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 12 and LCM 624. What is their product?
A. 636
B. 624
C. 7488
D. 7500
Correct Answer: C
For two positive integers, product = HCF × LCM = 12 × 624 = 7488.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 13 and LCM 1170. What is their product?
A. 1183
B. 15223
C. 1170
D. 15210
Correct Answer: D
For two positive integers, product = HCF × LCM = 13 × 1170 = 15210.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 7, 9, 12, 16, ?
A. 17
B. 21
C. 20
D. 22
Correct Answer: B
The differences are 1, 2, 3, 4, increasing by 1. The next difference is 5, so the answer is 21.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 10 and LCM 2100. What is their product?
A. 2100
B. 21010
C. 21000
D. 2110
Correct Answer: C
For two positive integers, product = HCF × LCM = 10 × 2100 = 21000.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 10, 13, 18, 25, 34, ?
A. 45
B. 46
C. 57
D. 33
Correct Answer: A
The terms follow 1n² + 9 for consecutive n. For n = 6, the term is 1×6² + 9 = 45.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 7, 16, 23, 39, 62, 101, ?
A. 163
B. 186
C. 124
D. 202
Correct Answer: A
Each term is the sum of the previous two. Therefore 62 + 101 = 163.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 72. What is the absolute difference between the number and the number formed by reversing its digits?
A. 5
B. 36
C. 45
D. 54
Correct Answer: C
Reversed number = 27. Absolute difference = |72 - 27| = 45.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 626 so that the result is exactly divisible by 24?
A. 2
B. 22
C. 24
D. 46
Correct Answer: B
626 leaves remainder 2 on division by 24. Add 24 - 2 = 22.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 25, 35, 27, 37, 29, 39, ?
A. 31
B. 21
C. 39
D. 49
Correct Answer: A
The operations alternate +10, -8. After the last +10, subtract 8: 39 - 8 = 31.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 9, 17, 28, 42, ?
A. 62
B. 47
C. 59
D. 56
Correct Answer: C
The differences are 5, 8, 11, 14, increasing by 3. The next difference is 17, so the answer is 59.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 22, 26, 35, 51, 76, ?
A. 118
B. 106
C. 101
D. 112
Correct Answer: D
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 112.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √68.
A. Prime number
B. Whole number
C. Rational
D. Irrational
Correct Answer: D
68 is not a perfect square, so √68 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 65, 100, 143, 194, 253, ?
A. 320
B. 312
C. 328
D. 379
Correct Answer: A
The first differences are [35, 43, 51, 59]; their second difference is constant at 8. Continuing the pattern gives 320.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 38, 41, 46, 53, 64, ?
A. 64
B. 88
C. 79
D. 77
Correct Answer: D
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 77.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 53, 86, 127, 176, 233, ?
A. 298
B. 290
C. 306
D. 355
Correct Answer: A
The first differences are [33, 41, 49, 57]; their second difference is constant at 8. Continuing the pattern gives 298.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 38/16.
A. Rational
B. Prime number
C. Irrational
D. Whole number
Correct Answer: A
38/16 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: 11, 24, 50, 102, 206, ?
A. 416
B. 455
C. 412
D. 414
Correct Answer: D
Each term is obtained by ×2 + 2. So 206 × 2 + 2 = 414.