CSS - PMS - CCE - PCS - Mathematics
Number System
Find the missing number: 32, 52, 72, 92, ?, 132
A. 152
B. 132
C. 92
D. 112
Correct Answer: D
This is an arithmetic series with common difference 20; the missing term is 112.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 29, 38, 54, 79, 115, ?
A. 171
B. 157
C. 151
D. 164
Correct Answer: D
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 164.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 490 and 345 leaving the same remainder?
A. 144
B. 72
C. 146
D. 145
Correct Answer: D
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 490-345 = 145; the greatest possible divisor is 145.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 481x divisible by 9?
A. 8
B. 6
C. 5
D. 0
Correct Answer: C
A number is divisible by 9 when its digit sum is divisible by 9. Thus 4+8+1+x must be a multiple of 9, giving x = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 768 is divided by 13?
A. 2
B. 4
C. 3
D. 1
Correct Answer: D
768 = 13 × 59 + 1; therefore the remainder is 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 16, 49, 148, 445, ?
A. 1336
B. 1333
C. 1337
D. 1335
Correct Answer: A
Each term is obtained by ×3 + 1. So 445 × 3 + 1 = 1336.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 7 that is less than 4721?
A. 4719
B. 4718
C. 4711
D. 4725
Correct Answer: B
4721 ÷ 7 has integer quotient 674; 7 × 674 = 4718.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 22, 37, 56, 79, 106, ?
A. 133
B. 164
C. 137
D. 141
Correct Answer: C
The first differences are [15, 19, 23, 27]; their second difference is constant at 4. Continuing the pattern gives 137.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 3 and LCM 396. What is their product?
A. 396
B. 1188
C. 399
D. 1191
Correct Answer: B
For two positive integers, product = HCF × LCM = 3 × 396 = 1188.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 19 to 265, inclusive, are divisible by 13?
A. 20
B. 21
C. 19
D. 18
Correct Answer: C
Count = ⌊265/13⌋ - ⌊(19-1)/13⌋ = 20 - 1 = 19.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 11, 12, 23, 35, 58, 93, ?
A. 174
B. 151
C. 116
D. 186
Correct Answer: B
Each term is the sum of the previous two. Therefore 58 + 93 = 151.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 27, 37, 36, 34, 45, 31, ?
A. 54
B. 63
C. 28
D. 45
Correct Answer: A
Odd-position terms are 27, 36, 45, ... with difference 9. Hence the next odd-position term is 54.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 105! ?
A. 26
B. 24
C. 10
D. 25
Correct Answer: D
Trailing zeros = ⌊105/5⌋ + ⌊105/25⌋ + ... = 21 + 4 = 25.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 31, 38, 49, 62, 79, ?
A. 98
B. 115
C. 79
D. 100
Correct Answer: A
Successive prime numbers are added: 7, 11, 13, 17, 19. Add 19 next, giving 98.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 15 that is less than 2798?
A. 2790
B. 2775
C. 2791
D. 2805
Correct Answer: A
2798 ÷ 15 has integer quotient 186; 15 × 186 = 2790.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 7 and LCM 1001. What is their product?
A. 7007
B. 7014
C. 1001
D. 1008
Correct Answer: A
For two positive integers, product = HCF × LCM = 7 × 1001 = 7007.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 100, 107, 102, 109, 104, 111, ?
A. 111
B. 106
C. 118
D. 99
Correct Answer: B
The operations alternate +7, -5. After the last +7, subtract 5: 111 - 5 = 106.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 16, 52, 160, 484, ?
A. 1456
B. 1460
C. 1452
D. 1453
Correct Answer: A
Each term is obtained by ×3 + 4. So 484 × 3 + 4 = 1456.
CSS - PMS - CCE - PCS - Mathematics
Number System
The sum of 3 consecutive integers is 222. What is the middle integer?
A. 75
B. 73
C. 74
D. 77
Correct Answer: C
The middle integer equals the average: 222 ÷ 3 = 74.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 67, 78, 89, 100, 111, ?
A. 122
B. 144
C. 111
D. 133
Correct Answer: A
The common difference is 11. So the next term is 111 + 11 = 122.