CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 18, 54, 23, 60, 28, 66, ?
A. 38
B. 72
C. 28
D. 33
Correct Answer: D
Odd-position terms are 18, 23, 28, ... with difference 5. Hence the next odd-position term is 33.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 2110 so that the result is exactly divisible by 8?
A. 3
B. 10
C. 2
D. 6
Correct Answer: C
2110 leaves remainder 6 on division by 8. Add 8 - 6 = 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the least positive number exactly divisible by 11, 13, and 14?
A. 2013
B. 4004
C. 2002
D. 14
Correct Answer: C
The required number is LCM(11, 13, 14) = 2002.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 159. What is the middle integer?
A. 53
B. 52
C. 54
D. 56
Correct Answer: A
The middle integer equals the average: 159 ÷ 3 = 53.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 35 that is less than 2633?
A. 2660
B. 2590
C. 2626
D. 2625
Correct Answer: D
2633 ÷ 35 has integer quotient 75; 35 × 75 = 2625.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 39, 76, 137, 228, ?
A. 208
B. 355
C. 362
D. 343
Correct Answer: B
Each term is n³ + 12. Thus the next term is 7³ + 12 = 355.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 53^99?
A. 9
B. 1
C. 7
D. 3
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 53 gives units digit 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 5, 6, 11, 17, 28, 45, ?
A. 56
B. 90
C. 84
D. 73
Correct Answer: D
Each term is the sum of the previous two. Therefore 28 + 45 = 73.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 35 that is less than 2191?
A. 2205
B. 2171
C. 2170
D. 2135
Correct Answer: C
2191 ÷ 35 has integer quotient 62; 35 × 62 = 2170.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 8, 16, 32, 64, 128, ?
A. 130
B. 128
C. 258
D. 256
Correct Answer: D
Each term is multiplied by 2. Therefore 128 × 2 = 256.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 12, 19, 30, 45, 64, ?
A. 91
B. 83
C. 87
D. 106
Correct Answer: C
The first differences are [7, 11, 15, 19]; their second difference is constant at 4. Continuing the pattern gives 87.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 7, 14, 26, 43, ?
A. 60
B. 45
C. 65
D. 70
Correct Answer: C
The differences are 2, 7, 12, 17, increasing by 5. The next difference is 22, so the answer is 65.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 402x divisible by 9?
A. 8
B. 6
C. 4
D. 3
Correct Answer: D
A number is divisible by 9 when its digit sum is divisible by 9. Thus 4+0+2+x must be a multiple of 9, giving x = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
A two-digit number is 40. What is the absolute difference between the number and the number formed by reversing its digits?
A. 45
B. 36
C. 27
D. 4
Correct Answer: B
Reversed number = 4. Absolute difference = |40 - 4| = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 19, 36, 24, 41, 29, 46, ?
A. 29
B. 34
C. 39
D. 51
Correct Answer: B
Odd-position terms are 19, 24, 29, ... with difference 5. Hence the next odd-position term is 34.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 170. What is the smallest integer?
A. 41
B. 40
C. 42
D. 45
Correct Answer: A
Let the integers be n, n+1, ..., n+3. Their sum is 170; solving gives n = 41.
CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √23.
A. Prime number
B. Irrational
C. Rational
D. Whole number
Correct Answer: B
23 is not a perfect square, so √23 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 40, 47, 54, 61, 68, ?
A. 68
B. 82
C. 89
D. 75
Correct Answer: D
The common difference is 7. So the next term is 68 + 7 = 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 53 classified?
A. Prime
B. Neither prime nor composite
C. Composite
D. Irrational
Correct Answer: A
53 has exactly two positive divisors, 1 and 53; therefore it is prime.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 75, 89, 103, 117, ?, 145
A. 117
B. 145
C. 159
D. 131
Correct Answer: D
This is an arithmetic series with common difference 14; the missing term is 131.