CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 26, 43, 60, 77, ?, 111
A. 128
B. 94
C. 77
D. 111
Correct Answer: B
This is an arithmetic series with common difference 17; the missing term is 94.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 40 and 48.
A. 4
B. 8
C. 9
D. 16
Correct Answer: B
The greatest common divisor of 40 and 48 is 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 66, 72, 78, ?, 90, 96
A. 90
B. 78
C. 84
D. 96
Correct Answer: C
This is an arithmetic series with common difference 6; the missing term is 84.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 10, 17, 36, 73, ?
A. 59
B. 125
C. 139
D. 134
Correct Answer: D
Each term is n³ + 9. Thus the next term is 5³ + 9 = 134.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √76.
A. Irrational
B. Whole number
C. Rational
D. Prime number
Correct Answer: A
76 is not a perfect square, so √76 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 23, 38, 31, 46, 39, 54, ?
A. 47
B. 32
C. 69
D. 54
Correct Answer: A
The operations alternate +15, -7. After the last +15, subtract 7: 54 - 7 = 47.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 35, 56, 83, 116, 155, ?
A. 200
B. 152
C. 203
D. 248
Correct Answer: A
The terms follow 3n² + 8 for consecutive n. For n = 8, the term is 3×8² + 8 = 200.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 36. What is the absolute difference between the number and the number formed by reversing its digits?
A. 36
B. 3
C. 18
D. 27
Correct Answer: D
Reversed number = 63. Absolute difference = |36 - 63| = 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 24, 29, 37, 48, 62, ?
A. 67
B. 82
C. 79
D. 76
Correct Answer: C
The differences are 5, 8, 11, 14, increasing by 3. The next difference is 17, so the answer is 79.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 81 and 117.
A. 10
B. 4
C. 9
D. 18
Correct Answer: C
The greatest common divisor of 81 and 117 is 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 14 and LCM 420. What is their product?
A. 434
B. 5894
C. 5880
D. 420
Correct Answer: C
For two positive integers, product = HCF × LCM = 14 × 420 = 5880.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 60, 63, 66, 69, 72, ?
A. 72
B. 75
C. 81
D. 78
Correct Answer: B
The common difference is 3. So the next term is 72 + 3 = 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 10, 19, 29, 40, ?
A. 53
B. 48
C. 52
D. 51
Correct Answer: C
The differences are 8, 9, 10, 11, increasing by 1. The next difference is 12, so the answer is 52.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 29 that is less than 4246?
A. 4235
B. 4205
C. 4234
D. 4263
Correct Answer: C
4246 ÷ 29 has integer quotient 146; 29 × 146 = 4234.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 80, 92, ?, 116, 128, 140
A. 92
B. 104
C. 116
D. 128
Correct Answer: B
This is an arithmetic series with common difference 12; the missing term is 104.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 9, 17, 29, 45, 65, ?
A. 85
B. 93
C. 89
D. 109
Correct Answer: C
The first differences are [8, 12, 16, 20]; their second difference is constant at 4. Continuing the pattern gives 89.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 31, 37, 44, 52, 61, ?
A. 70
B. 72
C. 71
D. 67
Correct Answer: C
The differences are 6, 7, 8, 9, increasing by 1. The next difference is 10, so the answer is 71.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 6, 18, and 17?
A. 312
B. 306
C. 612
D. 18
Correct Answer: B
The required number is LCM(6, 18, 17) = 306.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2107 so that the result is exactly divisible by 9?
A. 8
B. 10
C. 2
D. 1
Correct Answer: D
The remainder is 1; subtracting the remainder makes the number divisible by 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 122! ?
A. 29
B. 12
C. 28
D. 27
Correct Answer: C
Trailing zeros = ⌊122/5⌋ + ⌊122/25⌋ + ... = 24 + 4 = 28.