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8251
The sum of the greatest and smallest numbers of six digits is: (a) 100000 (b) 199999 (c) 999999 (d) 1099999
A. 100000
B. 199999
C. 999999
D. 1099999
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Explanation
- **Greatest six-digit number:** 999,999
8252
Which of the following numbers is divisible by 12? (a) 93412 (b) 63412 (c) 73412 (d) 83412
A. 93412
B. 63412
C. 73412
D. 83412
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Correct Option
Explanation
For a number to be divisible by 12, it must be divisible by its co-prime factors, 3 and 4.
8253
When a number is divided by a divisor, the remainder is 16. When twice the original number is divided by the same divisor, the remainder is 3. Find the value of that divisor. (a) 29 (b) 51 (c) 23 (d) 53
A. 29
B. 51
C. 23
D. 53
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Explanation
Let the original number be $N$, the divisor be $d$, and the quotient be $q$.
8254
If pq is a two-digit number, then $pq – qp$ will be completely divisible by: (a) 9 (b) 7 (c) 6 (d) 5
A. 9
B. 7
C. 6
D. 5
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Explanation
Let the two-digit number 'pq' be represented in terms of its place values. The digit 'p' is in the tens place and 'q' is in the units place.
8255
Find the least number to be added to 231228 to make it exactly divisible by 33. (a) 3 (b) 4 (c) 2 (d) 1
A. 3
B. 4
C. 2
D. 1
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Correct Option
Explanation
**Step 1:** Divide 231228 by 33 to find the remainder.
8256
Find two consecutive numbers where thrice the first number is more than twice the second number by 5. (a) 5 and 6 (b) 6 and 7 (c) 7 and 8 (d) 9 and 10
A. 5 and 6
B. 6 and 7
C. 7 and 8
D. 9 and 10
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Correct Option
Explanation
**Step 1:** Let the two consecutive numbers be $x$ and $(x+1)$.
8257
The smallest 5 digit number that leaves a remainder of 6 when divided by 7 is: (a) 10009 (b) 10002 (c) 10003 (d) 10007
A. 10009
B. 10002
C. 10003
D. 10007
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Correct Option
Explanation
**Step 1:** Identify the smallest 5-digit number, which is 10000.
8258
If the number $6484y6$ is divisible by 8, then find the least value of y? (a) 3 (b) 4 (c) 1 (d) 7
A. 3
B. 4
C. 1
D. 7
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Correct Option
Explanation
According to the divisibility rule of 8, a number is divisible by 8 if the number formed by its last three digits is divisible by 8.
8259
How many times does the digit 5 appear in the counting from 1 to 100? (a) 21 (b) 22 (c) 20 (d) 19
A. 21
B. 22
C. 20
D. 19
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Correct Option
Explanation
We count the occurrences of the digit '5' in both the units and tens places.
8260
In between 250–1000, how many numbers are completely divisible by 5, 6 & 7? (a) 5 (b) 7 (c) 6 (d) 3
A. 5
B. 7
C. 6
D. 3
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Explanation
**Step 1:** A number that is divisible by 5, 6, and 7 must be divisible by their Least Common Multiple (LCM).
