Mathematics
Number System
Find the HCF (GCD) of 165 and 88.
A. 5
B. 22
C. 11
D. 12
Correct Answer: C
The greatest common divisor of 165 and 88 is 11.
Mathematics
Number System
What is the greatest multiple of 23 that is less than 2009?
A. 2002
B. 2001
C. 1978
D. 2024
Correct Answer: B
2009 ÷ 23 has integer quotient 87; 23 × 87 = 2001.
Mathematics
Number System
How many integers from 26 to 395, inclusive, are divisible by 13?
A. 28
B. 30
C. 31
D. 29
Correct Answer: D
Count = ⌊395/13⌋ - ⌊(26-1)/13⌋ = 30 - 1 = 29.
Mathematics
Number System
What least number must be subtracted from 301 so that the result is exactly divisible by 22?
A. 37
B. 15
C. 7
D. 14
Correct Answer: B
The remainder is 15; subtracting the remainder makes the number divisible by 22.
Mathematics
Number System
How many trailing zeros are there in 23! ?
A. 5
B. 3
C. 4
D. 2
Correct Answer: C
Trailing zeros = ⌊23/5⌋ + ⌊23/25⌋ + ... = 4 = 4.
Mathematics
Number System
Find the next term: 12, 25, 37, 62, 99, 161, ?
A. 260
B. 297
C. 322
D. 198
Correct Answer: A
Each term is the sum of the previous two. Therefore 99 + 161 = 260.
Mathematics
Number System
Find the missing number: 84, 104, 124, 144, ?, 184
A. 184
B. 164
C. 204
D. 144
Correct Answer: B
This is an arithmetic series with common difference 20; the missing term is 164.
Mathematics
Number System
Find the next number: 4, 12, 21, 31, 42, ?
A. 53
B. 54
C. 55
D. 50
Correct Answer: B
The differences are 8, 9, 10, 11, increasing by 1. The next difference is 12, so the answer is 54.
Mathematics
Number System
Find the LCM of 19 and 14.
A. 266
B. 292
C. 267
D. 19
Correct Answer: A
LCM = (19 × 14) ÷ HCF(19,14) = 266.
Mathematics
Number System
How many integers from 93 to 181, inclusive, are divisible by 6?
A. 16
B. 15
C. 14
D. 30
Correct Answer: B
Count = ⌊181/6⌋ - ⌊(93-1)/6⌋ = 30 - 15 = 15.
Mathematics
Number System
What least number must be subtracted from 375 so that the result is exactly divisible by 21?
A. 3
B. 39
C. 18
D. 17
Correct Answer: C
The remainder is 18; subtracting the remainder makes the number divisible by 21.
Mathematics
Number System
Find the next term: 4, 16, 36, 64, 100, ?
A. 148
B. 144
C. 192
D. 96
Correct Answer: B
The terms follow 4n² + 0 for consecutive n. For n = 6, the term is 4×6² + 0 = 144.
Mathematics
Number System
What is the units digit of 92^49?
A. 8
B. 4
C. 6
D. 2
Correct Answer: D
Units digits repeat cyclically; applying the cycle for base 92 gives units digit 2.
Mathematics
Number System
Find the next term in the series: 44, 65, 90, 119, 152, ?
A. 222
B. 189
C. 193
D. 185
Correct Answer: B
The first differences are [21, 25, 29, 33]; their second difference is constant at 4. Continuing the pattern gives 189.
Mathematics
Number System
What least number must be subtracted from 1457 so that the result is exactly divisible by 20?
A. 3
B. 16
C. 37
D. 17
Correct Answer: D
The remainder is 17; subtracting the remainder makes the number divisible by 20.
Mathematics
Number System
Find the next term: 8, 9, 17, 26, 43, 69, ?
A. 86
B. 112
C. 129
D. 138
Correct Answer: B
Each term is the sum of the previous two. Therefore 43 + 69 = 112.
Mathematics
Number System
Find the next term: 32, 69, 130, 221, ?
A. 348
B. 355
C. 201
D. 343
Correct Answer: A
Each term is n³ + 5. Thus the next term is 7³ + 5 = 348.
Mathematics
Number System
Find the HCF (GCD) of 60 and 144.
A. 24
B. 13
C. 12
D. 6
Correct Answer: C
The greatest common divisor of 60 and 144 is 12.
Mathematics
Number System
Find the next term in the series: 10, 15, 22, 31, 42, ?
A. 53
B. 57
C. 66
D. 55
Correct Answer: D
The first differences are [5, 7, 9, 11]; their second difference is constant at 2. Continuing the pattern gives 55.
Mathematics
Number System
Find the next number: 10, 35, 110, 335, 1010, ?
A. 3030
B. 3035
C. 3032
D. 3040
Correct Answer: B
Each term is obtained by ×3 + 5. So 1010 × 3 + 5 = 3035.