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The MCQs below are drawn from the Mathematics subject category.
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8261
What is the range of possible values for a certain quantity?
A. Less than 3
B. Between 1 and 100
C. Greater than 60
D. Between 3 and 60
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Correct Option
Explanation
The correct answer is D, as the question states the range is between 3 and 60, making option D the only choice that matches this range.
8262
The largest four-digit number that is exactly divisible by 83 is: (a) 9936 (b) 9954 (c) 9960 (d) 9966
A. 9936
B. 9954
C. 9960
D. 9966
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Correct Option
Explanation
**Step 1:** The largest four-digit number is 9999.
8263
If $111 ..... 1$ (n digits) is divisible by 9, then the least value of n is: (a) 18 (b) 12 (c) 3 (d) 9
A. 18
B. 12
C. 3
D. 9
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Correct Option
Explanation
For a number to be divisible by 9, the sum of its digits must be divisible by 9.
8264
Which of the following numbers is not divisible by 8? (a) 12676 (b) 11504 (c) 12832 (d) 12360
A. 12676
B. 11504
C. 12832
D. 12360
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Correct Option
Explanation
The divisibility rule for 8 is that the number formed by the last three digits must be divisible by 8.
8265
Find the greatest number of five digits, which is exactly divisible by 468. (a) 99684 (b) 99486 (c) 99864 (d) 99468
A. 99684
B. 99486
C. 99864
D. 99468
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Correct Option
Explanation
**Step 1:** The greatest five-digit number is 99999.
8266
Find the remainder, when $171 \times 172 \times 173$ is divided by 17. (a) 9 (b) 8 (c) 6 (d) 7
A. 9
B. 8
C. 6
D. 7
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Correct Option
Explanation
We can find the remainder of each term when divided by 17 and then multiply the remainders.
8267
If the 15-digit number $4a5124356789734$ is divisible by 9, then the value of "a" is ............ (a) 1 (b) 4 (c) 5 (d) 3
A. 1
B. 4
C. 5
D. 3
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Correct Option
Explanation
The divisibility rule for 9 states that the sum of the digits of a number must be divisible by 9.
8268
If the number $2893\#\$$ is divisible by 8 and 5, then one possible choice of the digits that come in the place of # and \$ can be: (a) 0, 2 (b) 2, 2 (c) 0, 0 (d) 2, 0
A. 0, 2
B. 2, 2
C. 0, 0
D. 2, 0
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Correct Option
Explanation
**Step 1: Divisibility by 5.** For a number to be divisible by 5, its last digit (\$) must be either 0 or 5.
8269
By dividing 14528 by a certain number, Suresh gets 83 as quotient and 3 as remainder. What is the divisor? (a) 165 (b) 185 (c) 195 (d) 175
A. 165
B. 185
C. 195
D. 175
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Correct Option
Explanation
We use the division algorithm formula:
8270
The number $93248x6$ is divisible by 11. Then the digit x is equal to. (a) 5 (b) 2 (c) 8 (d) 7
A. 5
B. 2
C. 8
D. 7
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Correct Option
Explanation
According to the divisibility rule of 11, the difference between the sum of digits at odd places and the sum of digits at even places must be 0 or a multiple of 11.
