CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 82 to 435, inclusive, are divisible by 13?
A. 26
B. 28
C. 27
D. 33
Correct Answer: C
Count = ⌊435/13⌋ - ⌊(82-1)/13⌋ = 33 - 6 = 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 4, 19, 23, 42, 65, 107, ?
A. 195
B. 130
C. 214
D. 172
Correct Answer: D
Each term is the sum of the previous two. Therefore 65 + 107 = 172.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 109! ?
A. 24
B. 26
C. 10
D. 25
Correct Answer: D
Trailing zeros = ⌊109/5⌋ + ⌊109/25⌋ + ... = 21 + 4 = 25.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 1538 so that the result is exactly divisible by 28?
A. 2
B. 25
C. 26
D. 54
Correct Answer: C
The remainder is 26; subtracting the remainder makes the number divisible by 28.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 2, 7, 12, 17, 22, ?
A. 22
B. 32
C. 37
D. 27
Correct Answer: D
The common difference is 5. So the next term is 22 + 5 = 27.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many integers from 4 to 316, inclusive, are divisible by 13?
A. 26
B. 25
C. 23
D. 24
Correct Answer: D
Count = ⌊316/13⌋ - ⌊(4-1)/13⌋ = 24 - 0 = 24.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 46, 57, 68, 79, 90, ?
A. 101
B. 123
C. 90
D. 112
Correct Answer: A
The common difference is 11. So the next term is 90 + 11 = 101.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 15, 18, 33, 51, 84, 135, ?
A. 168
B. 270
C. 219
D. 252
Correct Answer: C
Each term is the sum of the previous two. Therefore 84 + 135 = 219.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 2021 is divided by 19?
A. 9
B. 10
C. 8
D. 7
Correct Answer: D
2021 = 19 × 106 + 7; therefore the remainder is 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 19, 57, 23, 62, 27, 67, ?
A. 72
B. 35
C. 31
D. 27
Correct Answer: C
Odd-position terms are 19, 23, 27, ... with difference 4. Hence the next odd-position term is 31.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 29, 66, 127, 218, ?
A. 345
B. 352
C. 198
D. 343
Correct Answer: A
Each term is n³ + 2. Thus the next term is 7³ + 2 = 345.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 29, 41, 38, 46, 47, 51, ?
A. 47
B. 65
C. 56
D. 61
Correct Answer: C
Odd-position terms are 29, 38, 47, ... with difference 9. Hence the next odd-position term is 56.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 9, 19, 33, 51, 73, ?
A. 99
B. 71
C. 101
D. 127
Correct Answer: A
The terms follow 2n² + 1 for consecutive n. For n = 7, the term is 2×7² + 1 = 99.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 2, 8, 10, 18, 28, 46, ?
A. 92
B. 84
C. 56
D. 74
Correct Answer: D
Each term is the sum of the previous two. Therefore 28 + 46 = 74.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 19, 38, 75, 136, ?
A. 119
B. 233
C. 216
D. 227
Correct Answer: D
Each term is n³ + 11. Thus the next term is 6³ + 11 = 227.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 27, 67, 30, 73, 33, 79, ?
A. 39
B. 85
C. 33
D. 36
Correct Answer: D
Odd-position terms are 27, 30, 33, ... with difference 3. Hence the next odd-position term is 36.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 18, 21, 26, 33, 44, ?
A. 57
B. 44
C. 68
D. 59
Correct Answer: A
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 57.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be added to 1418 so that the result is exactly divisible by 7?
A. 10
B. 3
C. 2
D. 4
Correct Answer: B
1418 leaves remainder 4 on division by 7. Add 7 - 4 = 3.
CSS - PMS - CCE - PCS - Mathematics
Number System
How many trailing zeros are there in 34! ?
A. 8
B. 3
C. 7
D. 6
Correct Answer: C
Trailing zeros = ⌊34/5⌋ + ⌊34/25⌋ + ... = 6 + 1 = 7.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 359 and 314 leaving the same remainder?
A. 44
B. 45
C. 22
D. 46
Correct Answer: B
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 359-314 = 45; the greatest possible divisor is 45.