CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 24, 30, 36, 42, 48, ?
A. 48
B. 60
C. 66
D. 54
Correct Answer: D
The common difference is 6. So the next term is 48 + 6 = 54.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 4 and LCM 176. What is their product?
A. 708
B. 704
C. 176
D. 180
Correct Answer: B
For two positive integers, product = HCF × LCM = 4 × 176 = 704.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √32.
A. Irrational
B. Prime number
C. Rational
D. Whole number
Correct Answer: A
32 is not a perfect square, so √32 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1886 is divided by 20?
A. 7
B. 6
C. 9
D. 8
Correct Answer: B
1886 = 20 × 94 + 6; therefore the remainder is 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 42 to 273, inclusive, are divisible by 12?
A. 18
B. 20
C. 19
D. 22
Correct Answer: C
Count = ⌊273/12⌋ - ⌊(42-1)/12⌋ = 22 - 3 = 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 13, 40, 121, 364, ?
A. 1094
B. 1092
C. 1090
D. 1093
Correct Answer: D
Each term is obtained by ×3 + 1. So 364 × 3 + 1 = 1093.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 16, 18, 21, 26, 33, ?
A. 33
B. 51
C. 44
D. 46
Correct Answer: C
Successive prime numbers are added: 2, 3, 5, 7, 11. Add 11 next, giving 44.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 7, 14, and 4?
A. 56
B. 28
C. 32
D. 14
Correct Answer: B
The required number is LCM(7, 14, 4) = 28.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 120. What is the middle integer?
A. 40
B. 43
C. 39
D. 41
Correct Answer: A
The middle integer equals the average: 120 ÷ 3 = 40.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 22, 31, 47, 72, 108, ?
A. 150
B. 157
C. 144
D. 164
Correct Answer: B
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 157.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 24, 36, 50, 66, 84, ?
A. 104
B. 122
C. 106
D. 102
Correct Answer: A
The first differences are [12, 14, 16, 18]; their second difference is constant at 2. Continuing the pattern gives 104.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 25, 26, 31, 40, 53, ?
A. 54
B. 74
C. 66
D. 70
Correct Answer: D
The differences are 1, 5, 9, 13, increasing by 4. The next difference is 17, so the answer is 70.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 35 that is less than 4047?
A. 4026
B. 3990
C. 4025
D. 4060
Correct Answer: C
4047 ÷ 35 has integer quotient 115; 35 × 115 = 4025.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 30/11.
A. Whole number
B. Irrational
C. Rational
D. Prime number
Correct Answer: C
30/11 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 term: 27, 64, 125, 216, ?
A. 196
B. 350
C. 343
D. 377
Correct Answer: C
Each term is n³ + 0. Thus the next term is 7³ + 0 = 343.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 20, 29, 40, 53, 68, ?
A. 103
B. 67
C. 85
D. 86
Correct Answer: C
The terms follow 1n² + 4 for consecutive n. For n = 9, the term is 1×9² + 4 = 85.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 5, 22, ?, 56, 73, 90
A. 39
B. 56
C. 73
D. 22
Correct Answer: A
This is an arithmetic series with common difference 17; the missing term is 39.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 32, 53, 80, 113, 152, ?
A. 245
B. 197
C. 200
D. 149
Correct Answer: B
The terms follow 3n² + 5 for consecutive n. For n = 8, the term is 3×8² + 5 = 197.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 14 that is less than 4357?
A. 4368
B. 4355
C. 4354
D. 4340
Correct Answer: C
4357 ÷ 14 has integer quotient 311; 14 × 311 = 4354.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 80 and 56.
A. 9
B. 4
C. 8
D. 16
Correct Answer: C
The greatest common divisor of 80 and 56 is 8.