CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 11, 22, 33, 55, 88, 143, ?
A. 286
B. 264
C. 231
D. 176
Correct Answer: C
Each term is the sum of the previous two. Therefore 88 + 143 = 231.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the remainder when 573 is divided by 14?
A. 13
B. 1
C. 2
D. 0
Correct Answer: A
573 = 14 × 40 + 13; therefore the remainder is 13.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 28 that is less than 1812?
A. 1764
B. 1820
C. 1793
D. 1792
Correct Answer: D
1812 ÷ 28 has integer quotient 64; 28 × 64 = 1792.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 3, 9, 36, 180, 1080, ?
A. 6480
B. 7567
C. 1080
D. 7560
Correct Answer: D
The multipliers are ×3, ×4, ×5, ×6; the next multiplier is ×7. Thus 1080 × 7 = 7560.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 12, 21, 37, 62, 98, ?
A. 147
B. 140
C. 154
D. 134
Correct Answer: A
The increments are consecutive squares: 9, 16, 25, 36; next add 7² = 49. So the answer is 147.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest multiple of 31 that is less than 2336?
A. 2356
B. 2326
C. 2325
D. 2294
Correct Answer: C
2336 ÷ 31 has integer quotient 75; 31 × 75 = 2325.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 15, 19, 28, 44, 69, ?
A. 94
B. 111
C. 105
D. 99
Correct Answer: C
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 105.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 28, 49, 76, 109, 148, ?
A. 196
B. 193
C. 145
D. 241
Correct Answer: B
The terms follow 3n² + 1 for consecutive n. For n = 8, the term is 3×8² + 1 = 193.
CSS - PMS - CCE - PCS - Mathematics
Number System
Two positive integers have HCF 4 and LCM 480. What is their product?
A. 1920
B. 1924
C. 480
D. 484
Correct Answer: A
For two positive integers, product = HCF × LCM = 4 × 480 = 1920.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 220x divisible by 9?
A. 6
B. 5
C. 8
D. 0
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 2+2+0+x must be a multiple of 9, giving x = 5.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 5, 20, 80, 320, 1280, ?
A. 5120
B. 1280
C. 1284
D. 5124
Correct Answer: A
Each term is multiplied by 4. Therefore 1280 × 4 = 5120.
CSS - PMS - CCE - PCS - Mathematics
Number System
What least number must be subtracted from 648 so that the result is exactly divisible by 20?
A. 7
B. 28
C. 12
D. 8
Correct Answer: D
The remainder is 8; subtracting the remainder makes the number divisible by 20.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term in the series: 8, 20, 36, 56, 80, ?
A. 132
B. 104
C. 112
D. 108
Correct Answer: D
The first differences are [12, 16, 20, 24]; their second difference is constant at 4. Continuing the pattern gives 108.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the series: 6, 18, 54, 162, 486, ?
A. 1458
B. 1461
C. 489
D. 486
Correct Answer: A
Each term is multiplied by 3. Therefore 486 × 3 = 1458.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 10, 36, 15, 30, 20, 24, ?
A. 20
B. 25
C. 18
D. 30
Correct Answer: B
Odd-position terms are 10, 15, 20, ... with difference 5. Hence the next odd-position term is 25.
CSS - PMS - CCE - PCS - Mathematics
Number System
What digit x makes the number 973x divisible by 9?
A. 8
B. 3
C. 1
D. 9
Correct Answer: A
A number is divisible by 9 when its digit sum is divisible by 9. Thus 9+7+3+x must be a multiple of 9, giving x = 8.
CSS - PMS - CCE - PCS - Mathematics
Number System
What is the greatest positive integer that can divide both 309 and 166 leaving the same remainder?
A. 71
B. 142
C. 143
D. 144
Correct Answer: C
If both numbers leave the same remainder, their difference must be divisible by the divisor. Their difference is 309-166 = 143; the greatest possible divisor is 143.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number: 8, 13, 20, 31, 44, ?
A. 44
B. 61
C. 63
D. 74
Correct Answer: B
Successive prime numbers are added: 5, 7, 11, 13, 17. Add 17 next, giving 61.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next term: 25, 33, 30, 38, 35, 43, ?
A. 32
B. 51
C. 43
D. 40
Correct Answer: D
The operations alternate +8, -3. After the last +8, subtract 3: 43 - 3 = 40.
CSS - PMS - CCE - PCS - Mathematics
Number System
Find the next number in the alternating series: 10, 37, 13, 45, 16, 53, ?
A. 61
B. 16
C. 19
D. 22
Correct Answer: C
Odd-position terms are 10, 13, 16, ... with difference 3. Hence the next odd-position term is 19.