CSS - PMS - CCE - PCS - Mathematics
Number System
Classify √69.
A. Rational
B. Whole number
C. Irrational
D. Prime number
Correct Answer: C
69 is not a perfect square, so √69 is irrational.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 136 and 255.
A. 18
B. 8
C. 17
D. 34
Correct Answer: C
The greatest common divisor of 136 and 255 is 17.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 31, 38, 49, 64, 83, ?
A. 110
B. 90
C. 102
D. 106
Correct Answer: D
The differences are 7, 11, 15, 19, increasing by 4. The next difference is 23, so the answer is 106.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 135! ?
A. 33
B. 34
C. 13
D. 32
Correct Answer: A
Trailing zeros = ⌊135/5⌋ + ⌊135/25⌋ + ... = 27 + 5 + 1 = 33.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 117. What is the middle integer?
A. 40
B. 42
C. 38
D. 39
Correct Answer: D
The middle integer equals the average: 117 ÷ 3 = 39.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 14, 33, 70, 131, ?
A. 222
B. 216
C. 114
D. 228
Correct Answer: A
Each term is n³ + 6. Thus the next term is 6³ + 6 = 222.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 17, 24, 33, 44, 57, ?
A. 56
B. 72
C. 73
D. 88
Correct Answer: B
The terms follow 1n² + 8 for consecutive n. For n = 8, the term is 1×8² + 8 = 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 342 and 219 leaving the same remainder?
A. 61
B. 122
C. 124
D. 123
Correct Answer: D
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 342-219 = 123; the greatest possible divisor is 123.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 16, 35, 72, 133, ?
A. 224
B. 116
C. 230
D. 216
Correct Answer: A
Each term is n³ + 8. Thus the next term is 6³ + 8 = 224.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 7, 20, 33, 46, 59, ?
A. 98
B. 72
C. 59
D. 85
Correct Answer: B
The common difference is 13. So the next term is 59 + 13 = 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 20! ?
A. 2
B. 5
C. 3
D. 4
Correct Answer: D
Trailing zeros = ⌊20/5⌋ + ⌊20/25⌋ + ... = 4 = 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
How is the integer 84 classified?
A. Prime
B. Neither prime nor composite
C. Irrational
D. Composite
Correct Answer: D
84 = 7 × 12, so it has factors other than 1 and itself and is composite.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 33, 54, 81, 114, 153, ?
A. 198
B. 150
C. 246
D. 201
Correct Answer: A
The terms follow 3n² + 6 for consecutive n. For n = 8, the term is 3×8² + 6 = 198.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 4, 15, 19, 34, 53, 87, ?
A. 106
B. 174
C. 159
D. 140
Correct Answer: D
Each term is the sum of the previous two. Therefore 53 + 87 = 140.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 21! ?
A. 2
B. 4
C. 3
D. 5
Correct Answer: B
Trailing zeros = ⌊21/5⌋ + ⌊21/25⌋ + ... = 4 = 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 18, 34, 59, 95, 144, ?
A. 208
B. 216
C. 193
D. 200
Correct Answer: A
The increments are consecutive squares: 16, 25, 36, 49; next add 8² = 64. So the answer is 208.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 671 and 540 leaving the same remainder?
A. 130
B. 131
C. 132
D. 65
Correct Answer: B
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 671-540 = 131; the greatest possible divisor is 131.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 63, 75, 71, 83, 79, 91, ?
A. 75
B. 103
C. 87
D. 91
Correct Answer: C
The operations alternate +12, -4. After the last +12, subtract 4: 91 - 4 = 87.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 42, 57, 72, 87, 102, ?
A. 132
B. 117
C. 147
D. 102
Correct Answer: B
The common difference is 15. So the next term is 102 + 15 = 117.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 8, 27, 84, 255, 768, ?
A. 2304
B. 2537
C. 2310
D. 2307
Correct Answer: D
Each term is obtained by ×3 + 3. So 768 × 3 + 3 = 2307.