CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 13, 22, 33, 46, 61, ?
A. 78
B. 76
C. 93
D. 80
Correct Answer: A
The first differences are [9, 11, 13, 15]; their second difference is constant at 2. Continuing the pattern gives 78.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 135. What is the middle integer?
A. 46
B. 45
C. 44
D. 48
Correct Answer: B
The middle integer equals the average: 135 ÷ 3 = 45.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 73 classified?
A. Neither prime nor composite
B. Composite
C. Prime
D. Irrational
Correct Answer: C
73 has exactly two positive divisors, 1 and 73; therefore it is prime.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 5, 9, 18, 34, ?
A. 50
B. 64
C. 54
D. 59
Correct Answer: D
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 59.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 18 that is less than 1418?
A. 1422
B. 1405
C. 1404
D. 1386
Correct Answer: C
1418 ÷ 18 has integer quotient 78; 18 × 78 = 1404.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 91. What is the absolute difference between the number and the number formed by reversing its digits?
A. 81
B. 63
C. 72
D. 8
Correct Answer: C
Reversed number = 19. Absolute difference = |91 - 19| = 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 22, 25, 29, 34, 40, ?
A. 47
B. 43
C. 46
D. 48
Correct Answer: A
The differences are 3, 4, 5, 6, increasing by 1. The next difference is 7, so the answer is 47.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 83 classified?
A. Irrational
B. Prime
C. Composite
D. Neither prime nor composite
Correct Answer: B
83 has exactly two positive divisors, 1 and 83; therefore it is prime.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 21, 33, 45, ?, 69, 81
A. 45
B. 69
C. 57
D. 81
Correct Answer: C
This is an arithmetic series with common difference 12; the missing term is 57.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 5, 12, 31, 68, ?
A. 125
B. 54
C. 134
D. 129
Correct Answer: D
Each term is n³ + 4. Thus the next term is 5³ + 4 = 129.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √6.
A. Prime number
B. Rational
C. Irrational
D. Whole number
Correct Answer: C
6 is not a perfect square, so √6 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 376x divisible by 9?
A. 7
B. 3
C. 5
D. 2
Correct Answer: D
A number is divisible by 9 when its digit sum is divisible by 9. Thus 3+7+6+x must be a multiple of 9, giving x = 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 30 that is less than 846?
A. 841
B. 840
C. 870
D. 810
Correct Answer: B
846 ÷ 30 has integer quotient 28; 30 × 28 = 840.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 70 classified?
A. Neither prime nor composite
B. Prime
C. Composite
D. Irrational
Correct Answer: C
70 = 7 × 10, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 18, 10, and 16?
A. 720
B. 18
C. 730
D. 1440
Correct Answer: A
The required number is LCM(18, 10, 16) = 720.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 2 and LCM 70. What is their product?
A. 72
B. 140
C. 70
D. 142
Correct Answer: B
For two positive integers, product = HCF × LCM = 2 × 70 = 140.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 21, 43, 87, 175, ?
A. 352
B. 351
C. 350
D. 349
Correct Answer: B
Each term is obtained by ×2 + 1. So 175 × 2 + 1 = 351.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 24, 29, 34, 39, 44, ?
A. 59
B. 54
C. 49
D. 44
Correct Answer: C
The common difference is 5. So the next term is 44 + 5 = 49.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 145. What is the middle integer?
A. 29
B. 28
C. 30
D. 34
Correct Answer: A
The middle integer equals the average: 145 ÷ 5 = 29.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 17, 28, 43, 62, 85, ?
A. 135
B. 108
C. 116
D. 112
Correct Answer: D
The first differences are [11, 15, 19, 23]; their second difference is constant at 4. Continuing the pattern gives 112.