CSS - PMS - CCE - PCS - Mathematics
Number System
What is the units digit of 91^14?
A. 5
B. 7
C. 1
D. 3
Correct Answer: C
Units digits repeat cyclically; applying the cycle for base 91 gives units digit 1.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 16, 20, 29, 43, 62, ?
A. 91
B. 86
C. 66
D. 81
Correct Answer: B
The differences are 4, 9, 14, 19, increasing by 5. The next difference is 24, so the answer is 86.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 7 and LCM 126. What is their product?
A. 882
B. 133
C. 889
D. 126
Correct Answer: A
For two positive integers, product = HCF × LCM = 7 × 126 = 882.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 1708 so that the result is exactly divisible by 17?
A. 8
B. 26
C. 9
D. 10
Correct Answer: C
1708 leaves remainder 8 on division by 17. Add 17 - 8 = 9.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 140 is divided by 7?
A. 2
B. 0
C. 3
D. 1
Correct Answer: B
140 = 7 × 20 + 0; therefore the remainder is 0.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 34, 71, 132, 223, ?
A. 343
B. 350
C. 203
D. 357
Correct Answer: B
Each term is n³ + 7. Thus the next term is 7³ + 7 = 350.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 21 to 270, inclusive, are divisible by 9?
A. 27
B. 29
C. 30
D. 28
Correct Answer: D
Count = ⌊270/9⌋ - ⌊(21-1)/9⌋ = 30 - 2 = 28.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the LCM of 14 and 30.
A. 212
B. 420
C. 210
D. 30
Correct Answer: C
LCM = (14 × 30) ÷ HCF(14,30) = 210.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 56, 63, 60, 67, 64, 71, ?
A. 61
B. 78
C. 71
D. 68
Correct Answer: D
The operations alternate +7, -3. After the last +7, subtract 3: 71 - 3 = 68.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 3303 so that the result is exactly divisible by 16?
A. 23
B. 7
C. 6
D. 9
Correct Answer: B
The remainder is 7; subtracting the remainder makes the number divisible by 16.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 51, 80, 115, 156, 203, ?
A. 250
B. 256
C. 303
D. 262
Correct Answer: B
The first differences are [29, 35, 41, 47]; their second difference is constant at 6. Continuing the pattern gives 256.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 13, 21, 34, 55, 89, 144, ?
A. 288
B. 178
C. 267
D. 233
Correct Answer: D
Each term is the sum of the previous two. Therefore 89 + 144 = 233.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 74, 87, 85, 98, 96, 109, ?
A. 109
B. 94
C. 107
D. 122
Correct Answer: C
The operations alternate +13, -2. After the last +13, subtract 2: 109 - 2 = 107.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 17, 22, 29, 40, 53, ?
A. 83
B. 72
C. 70
D. 53
Correct Answer: C
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 70.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 1360 is divided by 19?
A. 11
B. 12
C. 14
D. 13
Correct Answer: A
1360 = 19 × 71 + 11; therefore the remainder is 11.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 28, 53, 86, 127, 176, ?
A. 241
B. 233
C. 225
D. 282
Correct Answer: B
The first differences are [25, 33, 41, 49]; their second difference is constant at 8. Continuing the pattern gives 233.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 27, 42, 61, 84, 111, ?
A. 146
B. 169
C. 138
D. 142
Correct Answer: D
The first differences are [15, 19, 23, 27]; their second difference is constant at 4. Continuing the pattern gives 142.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 4, 12, 48, 240, 1440, ?
A. 10087
B. 10080
C. 8640
D. 1440
Correct Answer: B
The multipliers are ×3, ×4, ×5, ×6; the next multiplier is ×7. Thus 1440 × 7 = 10080.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 20, 35, 56, 83, 116, ?
A. 155
B. 158
C. 113
D. 197
Correct Answer: A
The terms follow 3n² + 8 for consecutive n. For n = 7, the term is 3×7² + 8 = 155.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 5, 8, 12, 17, 23, ?
A. 30
B. 29
C. 31
D. 26
Correct Answer: A
The differences are 3, 4, 5, 6, increasing by 1. The next difference is 7, so the answer is 30.