CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 32, 50, 72, 98, 128, ?
A. 162
B. 126
C. 198
D. 164
Correct Answer: A
The terms follow 2n² + 0 for consecutive n. For n = 9, the term is 2×9² + 0 = 162.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 98, 112, 108, 122, 118, 132, ?
A. 132
B. 146
C. 128
D. 114
Correct Answer: C
The operations alternate +14, -4. After the last +14, subtract 4: 132 - 4 = 128.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 50 classified?
A. Irrational
B. Neither prime nor composite
C. Composite
D. Prime
Correct Answer: C
50 = 10 × 5, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 34, 39, 49, 64, 84, ?
A. 104
B. 114
C. 89
D. 109
Correct Answer: D
The differences are 5, 10, 15, 20, increasing by 5. The next difference is 25, so the answer is 109.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 27 and 24.
A. 27
B. 648
C. 219
D. 216
Correct Answer: D
LCM = (27 × 24) ÷ HCF(27,24) = 216.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 5 consecutive integers is 65. What is the middle integer?
A. 13
B. 12
C. 14
D. 18
Correct Answer: A
The middle integer equals the average: 65 ÷ 5 = 13.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 43 to 411, inclusive, are divisible by 4?
A. 93
B. 91
C. 92
D. 102
Correct Answer: C
Count = ⌊411/4⌋ - ⌊(43-1)/4⌋ = 102 - 10 = 92.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 26, 39, 54, 71, 90, ?
A. 111
B. 130
C. 113
D. 109
Correct Answer: A
The first differences are [13, 15, 17, 19]; their second difference is constant at 2. Continuing the pattern gives 111.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 7, 8, 12, 21, 37, ?
A. 57
B. 53
C. 67
D. 62
Correct Answer: D
The increments are consecutive squares: 1, 4, 9, 16; next add 5² = 25. So the answer is 62.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 5, 10, 20, 40, 80, ?
A. 80
B. 162
C. 160
D. 82
Correct Answer: C
Each term is multiplied by 2. Therefore 80 × 2 = 160.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 46^13?
A. 0
B. 6
C. 8
D. 2
Correct Answer: B
Units digits repeat cyclically; applying the cycle for base 46 gives units digit 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 30, 32, 37, 45, 56, ?
A. 67
B. 70
C. 58
D. 73
Correct Answer: B
The differences are 2, 5, 8, 11, increasing by 3. The next difference is 14, so the answer is 70.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 70 to 428, inclusive, are divisible by 10?
A. 42
B. 36
C. 35
D. 37
Correct Answer: B
Count = ⌊428/10⌋ - ⌊(70-1)/10⌋ = 42 - 6 = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 11, 25, 53, 109, 221, ?
A. 443
B. 442
C. 445
D. 448
Correct Answer: C
Each term is obtained by ×2 + 3. So 221 × 2 + 3 = 445.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 97, 107, 102, 112, 107, 117, ?
A. 127
B. 102
C. 117
D. 112
Correct Answer: D
The operations alternate +10, -5. After the last +10, subtract 5: 117 - 5 = 112.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 13, 17, 26, 42, 67, ?
A. 109
B. 97
C. 103
D. 92
Correct Answer: C
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 103.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 26, 31, 40, 53, 70, ?
A. 87
B. 91
C. 95
D. 75
Correct Answer: B
The differences are 5, 9, 13, 17, increasing by 4. The next difference is 21, so the answer is 91.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 93, 100, 97, 104, 101, 108, ?
A. 115
B. 105
C. 108
D. 98
Correct Answer: B
The operations alternate +7, -3. After the last +7, subtract 3: 108 - 3 = 105.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 10, 12, 15, 20, 27, ?
A. 27
B. 40
C. 38
D. 45
Correct Answer: C
Successive prime numbers are added: 2, 3, 5, 7, 11. Add 11 next, giving 38.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 310. What is the smallest integer?
A. 76
B. 77
C. 80
D. 75
Correct Answer: A
Let the integers be n, n+1, ..., n+3. Their sum is 310; solving gives n = 76.