CSS - PMS - CCE - PCS - Mathematics
Number System
Classify 36/23.
A. Rational
B. Irrational
C. Whole number
D. Prime number
Correct Answer: A
36/23 is a ratio of two integers with a non-zero denominator, so it is rational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 24, 37, 50, 63, 76, ?
A. 89
B. 102
C. 76
D. 115
Correct Answer: A
The common difference is 13. So the next term is 76 + 13 = 89.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 35, 50, ?, 80, 95, 110
A. 80
B. 50
C. 95
D. 65
Correct Answer: D
This is an arithmetic series with common difference 15; the missing term is 65.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 31, 33, 37, 43, 51, ?
A. 63
B. 59
C. 61
D. 53
Correct Answer: C
The differences are 2, 4, 6, 8, increasing by 2. The next difference is 10, so the answer is 61.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 43! ?
A. 10
B. 8
C. 4
D. 9
Correct Answer: D
Trailing zeros = ⌊43/5⌋ + ⌊43/25⌋ + ... = 8 + 1 = 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 25, 44, 69, 100, 137, ?
A. 186
B. 180
C. 217
D. 174
Correct Answer: B
The first differences are [19, 25, 31, 37]; their second difference is constant at 6. Continuing the pattern gives 180.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 55, 58, 61, ?, 67, 70
A. 67
B. 70
C. 61
D. 64
Correct Answer: D
This is an arithmetic series with common difference 3; the missing term is 64.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 4 to 240, inclusive, are divisible by 12?
A. 19
B. 22
C. 20
D. 21
Correct Answer: C
Count = ⌊240/12⌋ - ⌊(4-1)/12⌋ = 20 - 0 = 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 89^56?
A. 7
B. 5
C. 3
D. 1
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 89 gives units digit 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 11, 30, 67, 128, ?
A. 111
B. 225
C. 219
D. 216
Correct Answer: C
Each term is n³ + 3. Thus the next term is 6³ + 3 = 219.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many positive divisors does 200 have?
A. 7
B. 11
C. 12
D. 14
Correct Answer: C
200 = 2^3 × 5^2. Number of divisors = (3+1)(2+1) = 12.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2398 so that the result is exactly divisible by 20?
A. 18
B. 2
C. 38
D. 17
Correct Answer: A
The remainder is 18; subtracting the remainder makes the number divisible by 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2062 so that the result is exactly divisible by 13?
A. 7
B. 21
C. 5
D. 8
Correct Answer: D
The remainder is 8; subtracting the remainder makes the number divisible by 13.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 52, 81, 116, 157, 204, ?
A. 251
B. 257
C. 263
D. 304
Correct Answer: B
The first differences are [29, 35, 41, 47]; their second difference is constant at 6. Continuing the pattern gives 257.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 1, 7, 18, 34, 55, ?
A. 81
B. 61
C. 76
D. 86
Correct Answer: A
The differences are 6, 11, 16, 21, increasing by 5. The next difference is 26, so the answer is 81.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 25, 56, 35, 63, 45, 70, ?
A. 55
B. 65
C. 45
D. 77
Correct Answer: A
Odd-position terms are 25, 35, 45, ... with difference 10. Hence the next odd-position term is 55.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 6, 9, 14, 21, 32, ?
A. 56
B. 47
C. 32
D. 45
Correct Answer: D
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 45.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 22, 26, 33, 43, 56, ?
A. 60
B. 72
C. 75
D. 69
Correct Answer: B
The differences are 4, 7, 10, 13, increasing by 3. The next difference is 16, so the answer is 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 8, 9, and 11?
A. 792
B. 11
C. 800
D. 1584
Correct Answer: A
The required number is LCM(8, 9, 11) = 792.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 60, 89, 124, 165, 212, ?
A. 312
B. 265
C. 259
D. 271
Correct Answer: B
The first differences are [29, 35, 41, 47]; their second difference is constant at 6. Continuing the pattern gives 265.