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The MCQs below are drawn from the Mathematics subject category.
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8231
Find the smallest four-digit number that is divisible by 47. (a) 1200 (b) 1025 (c) 1034 (d) 1360
A. 1200
B. 1025
C. 1034
D. 1360
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Explanation
**Step 1:** The smallest four-digit number is 1000.
8232
A number when divided by 280 leaves 73 as the remainder. When the same number is divided by 35, the remainder will be: (a) 4 (b) 2 (c) 3 (d) 7
A. 4
B. 2
C. 3
D. 7
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Explanation
**Method 1: Direct Method**
8233
If the largest 4–digit number is subtracted from the smallest 6-digit number, then the remainder will be: (a) 90000 (b) 99991 (c) 80001 (d) 90001
A. 90000
B. 99991
C. 80001
D. 90001
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Explanation
- **Smallest 6-digit number:** 100,000
8234
If the 7-digit number $504x5y3$ is divisible by 11, then one of the values of the sum of x and y is: (a) 11 (b) 5 (c) 17 (d) 7
A. 11
B. 5
C. 17
D. 7
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Explanation
The divisibility rule for 11 states that 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.
8235
Which of the following numbers is divisible by 6? (a) 12378 (b) 12363 (c) 12370 (d) 12388
A. 12378
B. 12363
C. 12370
D. 12388
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Explanation
For a number to be divisible by 6, it must be divisible by both 2 and 3.
8236
Which of the following numbers is divisible completely by both 9 and 11? (a) 277218 (b) 10098 (c) 12345 (d) 181998
A. 277218
B. 10098
C. 12345
D. 181998
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Explanation
To be divisible by both 9 and 11, a number must satisfy the divisibility rules for both.
8237
What should be added to 135642 to get the largest six digit number? (a) 864350 (b) 863357 (c) 864357 (d) 864347
A. 864350
B. 863357
C. 864357
D. 864347
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Explanation
**Step 1:** The largest six-digit number is 999999.
8238
How many numbers between 1 and 99 (inclusive) have a non-zero tens digit? (a) 98 (b) 90 (c) 99 (d) 100
A. 98
B. 90
C. 99
D. 100
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Explanation
The question is asking for the count of numbers from 1 to 99 that are 10 or greater.
8239
The least number that is divisible by all the numbers from 2 to 10 is– (a) 2520 (b) 100 (c) 504 (d) 9
A. 2520
B. 100
C. 504
D. 9
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Explanation
The question asks for the Least Common Multiple (LCM) of the numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10.
8240
A student divided a number by 12 instead of 21 and received 35. Find the correct answer. (a) 20 (b) 15 (c) 26 (d) 25
A. 20
B. 15
C. 26
D. 25
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Explanation
**Step 1:** Let the original number be $N$. The student performed the incorrect calculation: $N \div 12 = 35$.
