CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 17, 35, 53, ?, 89, 107
A. 89
B. 107
C. 53
D. 71
Correct Answer: D
This is an arithmetic series with common difference 18; the missing term is 71.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 100. What is the middle integer?
A. 20
B. 21
C. 25
D. 19
Correct Answer: A
The middle integer equals the average: 100 ÷ 5 = 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 3, 8, 11, 19, 30, 49, ?
A. 79
B. 60
C. 98
D. 90
Correct Answer: A
Each term is the sum of the previous two. Therefore 30 + 49 = 79.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 18 that is less than 2095?
A. 2089
B. 2088
C. 2106
D. 2070
Correct Answer: B
2095 ÷ 18 has integer quotient 116; 18 × 116 = 2088.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 196 have?
A. 6
B. 11
C. 9
D. 8
Correct Answer: C
196 = 2^2 × 7^2. Number of divisors = (2+1)(2+1) = 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 22 and 33.
A. 12
B. 22
C. 11
D. 5
Correct Answer: C
The greatest common divisor of 22 and 33 is 11.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 16, 55, 24, 48, 32, 41, ?
A. 34
B. 48
C. 32
D. 40
Correct Answer: D
Odd-position terms are 16, 24, 32, ... with difference 8. Hence the next odd-position term is 40.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 9, 16, 35, 72, ?
A. 58
B. 138
C. 133
D. 125
Correct Answer: C
Each term is n³ + 8. Thus the next term is 5³ + 8 = 133.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 62^41?
A. 8
B. 6
C. 4
D. 2
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 62 gives units digit 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 17/4.
A. Prime number
B. Whole number
C. Rational
D. Irrational
Correct Answer: C
17/4 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 118. What is the smallest integer?
A. 29
B. 28
C. 32
D. 27
Correct Answer: B
Let the integers be n, n+1, ..., n+3. Their sum is 118; solving gives n = 28.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 26, 37, 29, 40, 32, 43, ?
A. 54
B. 43
C. 35
D. 24
Correct Answer: C
The operations alternate +11, -8. After the last +11, subtract 8: 43 - 8 = 35.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 8, 30, 96, 294, 888, ?
A. 2664
B. 2667
C. 2670
D. 2676
Correct Answer: C
Each term is obtained by ×3 + 6. So 888 × 3 + 6 = 2670.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 65, 101, 145, 197, 257, ?
A. 397
B. 325
C. 329
D. 253
Correct Answer: B
The terms follow 4n² + 1 for consecutive n. For n = 9, the term is 4×9² + 1 = 325.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 24, 38, 36, 50, 48, 62, ?
A. 76
B. 46
C. 62
D. 60
Correct Answer: D
The operations alternate +14, -2. After the last +14, subtract 2: 62 - 2 = 60.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 40 have?
A. 8
B. 6
C. 7
D. 10
Correct Answer: A
40 = 2^3 × 5^1. Number of divisors = (3+1)(1+1) = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 31 classified?
A. Irrational
B. Prime
C. Composite
D. Neither prime nor composite
Correct Answer: B
31 has exactly two positive divisors, 1 and 31; therefore it is prime.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 38 to 202, inclusive, are divisible by 14?
A. 14
B. 12
C. 11
D. 13
Correct Answer: B
Count = ⌊202/14⌋ - ⌊(38-1)/14⌋ = 14 - 2 = 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 11, 16, and 5?
A. 16
B. 880
C. 1760
D. 885
Correct Answer: B
The required number is LCM(11, 16, 5) = 880.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 110 classified?
A. Irrational
B. Neither prime nor composite
C. Prime
D. Composite
Correct Answer: D
110 = 10 × 11, so it has factors other than 1 and itself and is composite.