CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 34 that is less than 1339?
A. 1327
B. 1326
C. 1292
D. 1360
Correct Answer: B
1339 ÷ 34 has integer quotient 39; 34 × 39 = 1326.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 28 to 200, inclusive, are divisible by 8?
A. 22
B. 25
C. 23
D. 21
Correct Answer: A
Count = ⌊200/8⌋ - ⌊(28-1)/8⌋ = 25 - 3 = 22.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 81^43?
A. 3
B. 7
C. 1
D. 5
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 81 gives units digit 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 2, 8, 18, 32, 50, ?
A. 72
B. 96
C. 74
D. 48
Correct Answer: A
The terms follow 2n² + 0 for consecutive n. For n = 6, the term is 2×6² + 0 = 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 14, 44, 21, 40, 28, 36, ?
A. 32
B. 42
C. 35
D. 28
Correct Answer: C
Odd-position terms are 14, 21, 28, ... with difference 7. Hence the next odd-position term is 35.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 33, 47, ?, 75, 89, 103
A. 75
B. 61
C. 47
D. 89
Correct Answer: B
This is an arithmetic series with common difference 14; the missing term is 61.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 37^56?
A. 7
B. 3
C. 5
D. 1
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 37 gives units digit 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 6, 14, 30, 62, ?
A. 124
B. 138
C. 128
D. 126
Correct Answer: D
Each term is obtained by ×2 + 2. So 62 × 2 + 2 = 126.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 22 and 26.
A. 26
B. 572
C. 286
D. 288
Correct Answer: C
LCM = (22 × 26) ÷ HCF(22,26) = 286.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 32, 98, 296, 890, ?
A. 2672
B. 2670
C. 2674
D. 2669
Correct Answer: A
Each term is obtained by ×3 + 2. So 890 × 3 + 2 = 2672.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 139! ?
A. 33
B. 13
C. 32
D. 34
Correct Answer: A
Trailing zeros = ⌊139/5⌋ + ⌊139/25⌋ + ... = 27 + 5 + 1 = 33.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 100, 113, 111, 124, 122, 135, ?
A. 135
B. 148
C. 120
D. 133
Correct Answer: D
The operations alternate +13, -2. After the last +13, subtract 2: 135 - 2 = 133.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 3, 12, 27, 48, 75, ?
A. 108
B. 111
C. 144
D. 72
Correct Answer: A
The terms follow 3n² + 0 for consecutive n. For n = 6, the term is 3×6² + 0 = 108.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2663 so that the result is exactly divisible by 19?
A. 16
B. 2
C. 3
D. 22
Correct Answer: C
The remainder is 3; subtracting the remainder makes the number divisible by 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 49, 54, 59, 64, 69, ?
A. 69
B. 79
C. 84
D. 74
Correct Answer: D
The common difference is 5. So the next term is 69 + 5 = 74.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 68, 81, 78, 91, 88, 101, ?
A. 101
B. 85
C. 114
D. 98
Correct Answer: D
The operations alternate +13, -3. After the last +13, subtract 3: 101 - 3 = 98.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 784 have?
A. 15
B. 17
C. 8
D. 14
Correct Answer: A
784 = 2^4 × 7^2. Number of divisors = (4+1)(2+1) = 15.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 2479 so that the result is exactly divisible by 6?
A. 11
B. 5
C. 1
D. 6
Correct Answer: B
2479 leaves remainder 1 on division by 6. Add 6 - 1 = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 28, 31, 36, 43, 54, ?
A. 67
B. 78
C. 69
D. 54
Correct Answer: A
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 67.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2541 so that the result is exactly divisible by 30?
A. 51
B. 20
C. 9
D. 21
Correct Answer: D
The remainder is 21; subtracting the remainder makes the number divisible by 30.