CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 15, 24, 40, 65, 101, ?
A. 137
B. 143
C. 150
D. 157
Correct Answer: C
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 150.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 25, 26, 30, 39, 55, ?
A. 85
B. 75
C. 71
D. 80
Correct Answer: D
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 80.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 53, 55, 57, 59, 61, ?
A. 61
B. 67
C. 65
D. 63
Correct Answer: D
The common difference is 2. So the next term is 61 + 2 = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 19, 64, 199, 604, ?
A. 1826
B. 1819
C. 1812
D. 1816
Correct Answer: B
Each term is obtained by ×3 + 7. So 604 × 3 + 7 = 1819.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 4 and LCM 336. What is their product?
A. 340
B. 336
C. 1348
D. 1344
Correct Answer: D
For two positive integers, product = HCF × LCM = 4 × 336 = 1344.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 11, 8, and 15?
A. 1320
B. 1328
C. 15
D. 2640
Correct Answer: A
The required number is LCM(11, 8, 15) = 1320.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √5.
A. Whole number
B. Rational
C. Irrational
D. Prime number
Correct Answer: C
5 is not a perfect square, so √5 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 619 and 598 leaving the same remainder?
A. 21
B. 20
C. 22
D. 10
Correct Answer: A
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 619-598 = 21; the greatest possible divisor is 21.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 2, 6, 18, 54, 162, ?
A. 486
B. 165
C. 489
D. 162
Correct Answer: A
Each term is multiplied by 3. Therefore 162 × 3 = 486.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 19, 35, 60, 96, ?
A. 138
B. 132
C. 145
D. 152
Correct Answer: C
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 145.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 242. What is the smallest integer?
A. 59
B. 60
C. 63
D. 58
Correct Answer: A
Let the integers be n, n+1, ..., n+3. Their sum is 242; solving gives n = 59.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 74, 87, 100, ?, 126, 139
A. 126
B. 113
C. 100
D. 139
Correct Answer: B
This is an arithmetic series with common difference 13; the missing term is 113.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 6, 11, 20, 33, ?
A. 46
B. 50
C. 54
D. 34
Correct Answer: B
The differences are 1, 5, 9, 13, increasing by 4. The next difference is 17, so the answer is 50.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 14, 34, 48, 82, 130, 212, ?
A. 342
B. 390
C. 424
D. 260
Correct Answer: A
Each term is the sum of the previous two. Therefore 130 + 212 = 342.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1504 so that the result is exactly divisible by 22?
A. 30
B. 8
C. 14
D. 7
Correct Answer: B
The remainder is 8; subtracting the remainder makes the number divisible by 22.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 57. What is the absolute difference between the number and the number formed by reversing its digits?
A. 27
B. 18
C. 9
D. 2
Correct Answer: B
Reversed number = 75. Absolute difference = |57 - 75| = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 13, 6, and 5?
A. 390
B. 395
C. 780
D. 13
Correct Answer: A
The required number is LCM(13, 6, 5) = 390.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 14, 29, 50, 77, 110, ?
A. 107
B. 152
C. 191
D. 149
Correct Answer: D
The terms follow 3n² + 2 for consecutive n. For n = 7, the term is 3×7² + 2 = 149.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 2116 is divided by 20?
A. 17
B. 19
C. 18
D. 16
Correct Answer: D
2116 = 20 × 105 + 16; therefore the remainder is 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 35/4.
A. Prime number
B. Whole number
C. Rational
D. Irrational
Correct Answer: C
35/4 is a ratio of two integers with a non-zero denominator, so it is rational.