CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 11, 17, 23, ?, 35, 41
A. 35
B. 23
C. 41
D. 29
Correct Answer: D
This is an arithmetic series with common difference 6; the missing term is 29.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 7^82?
A. 9
B. 1
C. 5
D. 3
Correct Answer: A
Units digits repeat cyclically; applying the cycle for base 7 gives units digit 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 15 to 103, inclusive, are divisible by 7?
A. 11
B. 14
C. 12
D. 13
Correct Answer: C
Count = ⌊103/7⌋ - ⌊(15-1)/7⌋ = 14 - 2 = 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 43, 47, 51, 55, 59, ?
A. 63
B. 67
C. 71
D. 59
Correct Answer: A
The common difference is 4. So the next term is 59 + 4 = 63.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 4, 10, and 6?
A. 120
B. 60
C. 64
D. 10
Correct Answer: B
The required number is LCM(4, 10, 6) = 60.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 6 to 396, inclusive, are divisible by 7?
A. 61
B. 56
C. 55
D. 57
Correct Answer: B
Count = ⌊396/7⌋ - ⌊(6-1)/7⌋ = 56 - 0 = 56.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 5, 14, and 10?
A. 140
B. 75
C. 14
D. 70
Correct Answer: D
The required number is LCM(5, 14, 10) = 70.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 7, 8, 15, 23, 38, 61, ?
A. 76
B. 122
C. 114
D. 99
Correct Answer: D
Each term is the sum of the previous two. Therefore 38 + 61 = 99.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 9, 22, 40, 63, ?
A. 91
B. 86
C. 71
D. 96
Correct Answer: A
The differences are 8, 13, 18, 23, increasing by 5. The next difference is 28, so the answer is 91.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √50.
A. Whole number
B. Irrational
C. Rational
D. Prime number
Correct Answer: B
50 is not a perfect square, so √50 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 15, 34, 71, 132, ?
A. 216
B. 115
C. 223
D. 229
Correct Answer: C
Each term is n³ + 7. Thus the next term is 6³ + 7 = 223.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 11, 15, ?, 23, 27, 31
A. 23
B. 27
C. 15
D. 19
Correct Answer: D
This is an arithmetic series with common difference 4; the missing term is 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 680x divisible by 9?
A. 9
B. 4
C. 5
D. 7
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 6+8+0+x must be a multiple of 9, giving x = 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 12 and 15.
A. 6
B. 1
C. 4
D. 3
Correct Answer: D
The greatest common divisor of 12 and 15 is 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 25, 27, 32, 40, 51, ?
A. 62
B. 53
C. 65
D. 68
Correct Answer: C
The differences are 2, 5, 8, 11, increasing by 3. The next difference is 14, so the answer is 65.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 240 and 210 leaving the same remainder?
A. 31
B. 29
C. 30
D. 15
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 240-210 = 30; the greatest possible divisor is 30.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 26. What is the absolute difference between the number and the number formed by reversing its digits?
A. 4
B. 36
C. 45
D. 27
Correct Answer: B
Reversed number = 62. Absolute difference = |26 - 62| = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 38, 51, 64, 77, 90, ?
A. 129
B. 116
C. 90
D. 103
Correct Answer: D
The common difference is 13. So the next term is 90 + 13 = 103.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 6, 12, 18, 30, 48, 78, ?
A. 144
B. 96
C. 156
D. 126
Correct Answer: D
Each term is the sum of the previous two. Therefore 48 + 78 = 126.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 364 so that the result is exactly divisible by 16?
A. 12
B. 4
C. 11
D. 28
Correct Answer: A
The remainder is 12; subtracting the remainder makes the number divisible by 16.