Mathematics
Number System
What least number must be subtracted from 2062 so that the result is exactly divisible by 13?
A. 7
B. 21
C. 5
D. 8
Correct Answer: D
The remainder is 8; subtracting the remainder makes the number divisible by 13.
Mathematics
Number System
Find the next term in the series: 52, 81, 116, 157, 204, ?
A. 251
B. 257
C. 263
D. 304
Correct Answer: B
The first differences are [29, 35, 41, 47]; their second difference is constant at 6. Continuing the pattern gives 257.
Mathematics
Number System
Find the next number: 1, 7, 18, 34, 55, ?
A. 81
B. 61
C. 76
D. 86
Correct Answer: A
The differences are 6, 11, 16, 21, increasing by 5. The next difference is 26, so the answer is 81.
Mathematics
Number System
Find the next number in the alternating series: 25, 56, 35, 63, 45, 70, ?
A. 55
B. 65
C. 45
D. 77
Correct Answer: A
Odd-position terms are 25, 35, 45, ... with difference 10. Hence the next odd-position term is 55.
Mathematics
Number System
Find the next number: 6, 9, 14, 21, 32, ?
A. 56
B. 47
C. 32
D. 45
Correct Answer: D
Successive prime numbers are added: 3, 5, 7, 11, 13. Add 13 next, giving 45.
Mathematics
Number System
Find the next number: 22, 26, 33, 43, 56, ?
A. 60
B. 72
C. 75
D. 69
Correct Answer: B
The differences are 4, 7, 10, 13, increasing by 3. The next difference is 16, so the answer is 72.
Mathematics
Number System
What is the least positive number exactly divisible by 8, 9, and 11?
A. 792
B. 11
C. 800
D. 1584
Correct Answer: A
The required number is LCM(8, 9, 11) = 792.
Mathematics
Number System
Find the next term in the series: 60, 89, 124, 165, 212, ?
A. 312
B. 265
C. 259
D. 271
Correct Answer: B
The first differences are [29, 35, 41, 47]; their second difference is constant at 6. Continuing the pattern gives 265.
Mathematics
Number System
Find the next term: 96, 101, 95, 100, 94, 99, ?
A. 99
B. 104
C. 88
D. 93
Correct Answer: D
The operations alternate +5, -6. After the last +5, subtract 6: 99 - 6 = 93.
Mathematics
Number System
Find the next term in the series: 33, 57, 89, 129, 177, ?
A. 225
B. 233
C. 281
D. 241
Correct Answer: B
The first differences are [24, 32, 40, 48]; their second difference is constant at 8. Continuing the pattern gives 233.
Mathematics
Number System
Find the next number in the alternating series: 24, 61, 27, 67, 30, 73, ?
A. 79
B. 33
C. 30
D. 36
Correct Answer: B
Odd-position terms are 24, 27, 30, ... with difference 3. Hence the next odd-position term is 33.
Mathematics
Number System
Find the next term: 15, 21, 36, 57, 93, 150, ?
A. 279
B. 243
C. 300
D. 186
Correct Answer: B
Each term is the sum of the previous two. Therefore 93 + 150 = 243.
Mathematics
Number System
Find the next term: 11, 29, 40, 69, 109, 178, ?
A. 356
B. 287
C. 218
D. 327
Correct Answer: B
Each term is the sum of the previous two. Therefore 109 + 178 = 287.
Mathematics
Number System
Find the missing number: 69, 83, 97, ?, 125, 139
A. 97
B. 111
C. 139
D. 125
Correct Answer: B
This is an arithmetic series with common difference 14; the missing term is 111.
Mathematics
Number System
Classify 38/5.
A. Prime number
B. Irrational
C. Whole number
D. Rational
Correct Answer: D
38/5 is a ratio of two integers with a non-zero denominator, so it is rational.
Mathematics
Number System
Find the next number: 5, 12, 26, 54, 110, ?
A. 224
B. 220
C. 222
D. 244
Correct Answer: C
Each term is obtained by ×2 + 2. So 110 × 2 + 2 = 222.
Mathematics
Number System
What digit x makes the number 762x divisible by 9?
A. 6
B. 3
C. 8
D. 4
Correct Answer: B
A number is divisible by 9 when its digit sum is divisible by 9. Thus 7+6+2+x must be a multiple of 9, giving x = 3.
Mathematics
Number System
Find the next number in the alternating series: 26, 78, 30, 84, 34, 90, ?
A. 34
B. 42
C. 38
D. 96
Correct Answer: C
Odd-position terms are 26, 30, 34, ... with difference 4. Hence the next odd-position term is 38.
Mathematics
Number System
Find the missing number: 78, 84, ?, 96, 102, 108
A. 102
B. 96
C. 90
D. 84
Correct Answer: C
This is an arithmetic series with common difference 6; the missing term is 90.
Mathematics
Number System
Find the next number: 25, 29, 38, 54, 79, ?
A. 115
B. 104
C. 109
D. 121
Correct Answer: A
The increments are consecutive squares: 4, 9, 16, 25; next add 6² = 36. So the answer is 115.