CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 1, 8, 27, 64, ?
A. 137
B. 130
C. 50
D. 125
Correct Answer: D
Each term is n³ + 0. Thus the next term is 5³ + 0 = 125.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 210. What is the smallest integer?
A. 51
B. 52
C. 50
D. 55
Correct Answer: A
Let the integers be n, n+1, ..., n+3. Their sum is 210; solving gives n = 51.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 14, 26, 40, 66, 106, 172, ?
A. 278
B. 344
C. 212
D. 318
Correct Answer: A
Each term is the sum of the previous two. Therefore 106 + 172 = 278.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 24, 44, 72, 108, 152, ?
A. 260
B. 208
C. 204
D. 148
Correct Answer: C
The terms follow 4n² + 8 for consecutive n. For n = 7, the term is 4×7² + 8 = 204.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 9, 14, 23, 37, 60, 97, ?
A. 120
B. 180
C. 157
D. 194
Correct Answer: C
Each term is the sum of the previous two. Therefore 60 + 97 = 157.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 994x divisible by 9?
A. 6
B. 8
C. 5
D. 0
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 9+9+4+x must be a multiple of 9, giving x = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 36, 73, 134, 225, ?
A. 343
B. 205
C. 359
D. 352
Correct Answer: D
Each term is n³ + 9. Thus the next term is 7³ + 9 = 352.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 38, 45, 56, 69, 86, ?
A. 107
B. 122
C. 86
D. 105
Correct Answer: D
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 105.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 13, 23, 37, 55, 77, ?
A. 103
B. 105
C. 131
D. 75
Correct Answer: A
The terms follow 2n² + 5 for consecutive n. For n = 7, the term is 2×7² + 5 = 103.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 985x divisible by 9?
A. 6
B. 5
C. 0
D. 8
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 9+8+5+x must be a multiple of 9, giving x = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 98 and 182.
A. 28
B. 7
C. 15
D. 14
Correct Answer: D
The greatest common divisor of 98 and 182 is 14.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 9 and LCM 630. What is their product?
A. 639
B. 630
C. 5679
D. 5670
Correct Answer: D
For two positive integers, product = HCF × LCM = 9 × 630 = 5670.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 604x divisible by 9?
A. 3
B. 9
C. 8
D. 1
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 6+0+4+x must be a multiple of 9, giving x = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 2 and LCM 104. What is their product?
A. 106
B. 104
C. 208
D. 210
Correct Answer: C
For two positive integers, product = HCF × LCM = 2 × 104 = 208.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 450x divisible by 9?
A. 1
B. 3
C. 0
D. 5
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 4+5+0+x must be a multiple of 9, giving x = 0.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 79! ?
A. 7
B. 19
C. 18
D. 17
Correct Answer: C
Trailing zeros = ⌊79/5⌋ + ⌊79/25⌋ + ... = 15 + 3 = 18.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 7, 10, ?, 16, 19, 22
A. 13
B. 16
C. 19
D. 10
Correct Answer: A
This is an arithmetic series with common difference 3; the missing term is 13.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 14, 15, 21, 32, 48, ?
A. 74
B. 64
C. 49
D. 69
Correct Answer: D
The differences are 1, 6, 11, 16, increasing by 5. The next difference is 21, so the answer is 69.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 19, 23, 32, 48, 73, ?
A. 103
B. 98
C. 109
D. 115
Correct Answer: C
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 109.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 66, 102, 146, 198, 258, ?
A. 330
B. 326
C. 398
D. 254
Correct Answer: B
The terms follow 4n² + 2 for consecutive n. For n = 9, the term is 4×9² + 2 = 326.