CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 40, 51, ?, 73, 84, 95
A. 62
B. 84
C. 73
D. 51
Correct Answer: A
This is an arithmetic series with common difference 11; the missing term is 62.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 801 so that the result is exactly divisible by 15?
A. 6
B. 5
C. 9
D. 21
Correct Answer: A
The remainder is 6; subtracting the remainder makes the number divisible by 15.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 12 and LCM 780. What is their product?
A. 792
B. 780
C. 9360
D. 9372
Correct Answer: C
For two positive integers, product = HCF × LCM = 12 × 780 = 9360.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 13, 18, 23, 28, ?, 38
A. 38
B. 43
C. 28
D. 33
Correct Answer: D
This is an arithmetic series with common difference 5; the missing term is 33.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 2284 is divided by 20?
A. 4
B. 7
C. 6
D. 5
Correct Answer: A
2284 = 20 × 114 + 4; therefore the remainder is 4.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 37, 41, 45, 49, 53, ?
A. 65
B. 61
C. 57
D. 53
Correct Answer: C
The common difference is 4. So the next term is 53 + 4 = 57.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 2, 4, 8, 16, 32, ?
A. 64
B. 34
C. 32
D. 66
Correct Answer: A
Each term is multiplied by 2. Therefore 32 × 2 = 64.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 80 and 224.
A. 17
B. 8
C. 16
D. 32
Correct Answer: C
The greatest common divisor of 80 and 224 is 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 482 and 407 leaving the same remainder?
A. 75
B. 37
C. 76
D. 74
Correct Answer: A
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 482-407 = 75; the greatest possible divisor is 75.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 849x divisible by 9?
A. 7
B. 9
C. 6
D. 1
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 8+4+9+x must be a multiple of 9, giving x = 6.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 4 consecutive integers is 162. What is the smallest integer?
A. 38
B. 43
C. 40
D. 39
Correct Answer: D
Let the integers be n, n+1, ..., n+3. Their sum is 162; solving gives n = 39.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 2630 so that the result is exactly divisible by 17?
A. 29
B. 5
C. 11
D. 12
Correct Answer: D
The remainder is 12; subtracting the remainder makes the number divisible by 17.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 2, 4, 12, 48, 240, ?
A. 240
B. 1446
C. 1440
D. 1200
Correct Answer: C
The multipliers are ×2, ×3, ×4, ×5; the next multiplier is ×6. Thus 240 × 6 = 1440.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 4, 12, 16, 28, 44, 72, ?
A. 88
B. 132
C. 116
D. 144
Correct Answer: C
Each term is the sum of the previous two. Therefore 44 + 72 = 116.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 42! ?
A. 9
B. 4
C. 10
D. 8
Correct Answer: A
Trailing zeros = ⌊42/5⌋ + ⌊42/25⌋ + ... = 8 + 1 = 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 403x divisible by 9?
A. 3
B. 2
C. 5
D. 7
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 4+0+3+x must be a multiple of 9, giving x = 2.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 7, 10, 18, 31, 49, ?
A. 67
B. 52
C. 77
D. 72
Correct Answer: D
The differences are 3, 8, 13, 18, increasing by 5. The next difference is 23, so the answer is 72.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 57 to 346, inclusive, are divisible by 8?
A. 43
B. 35
C. 37
D. 36
Correct Answer: D
Count = ⌊346/8⌋ - ⌊(57-1)/8⌋ = 43 - 7 = 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 41, 59, 81, 107, 137, ?
A. 171
B. 173
C. 135
D. 207
Correct Answer: A
The terms follow 2n² + 9 for consecutive n. For n = 9, the term is 2×9² + 9 = 171.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the HCF (GCD) of 91 and 169.
A. 14
B. 13
C. 26
D. 6
Correct Answer: B
The greatest common divisor of 91 and 169 is 13.