Number System Questions Practice Question and Answer
8 Q: Find the greatest number which divides 108, 124 and 156, leaving the same remainder.
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Answer : 4. "16 "
Q: In a two - digit number, the digit at the unit's place is 1 less than twice the digit at the ten's place. If the digits at units and ten's place are interchanged, the difference between the new and the original number is less than the original number by 20. The original number is:
1485 05ee84c2b642b74661722a703
5ee84c2b642b74661722a703- 135false
- 247true
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Answer : 2. "47"
Q: Two numbers are such that their difference, their sum and their product is in the ratio of 1: 7: 24. The product of numbers is
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5f76c5fc4637db7328497bd1- 124false
- 236false
- 348true
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Answer : 3. "48"
Q: A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be:
1483 05ee8426479b5ea388bec0116
5ee8426479b5ea388bec0116- 18false
- 21true
- 32false
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Answer : 2. "1 "
Explanation :
Let number (dividend) be X.
∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.
= 37 × 8 × Q + 37 × 2 + 1
= 37 (8Q + 2) + 1
Thus we see that the remainder is 1.
[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.
Hence, divide 75 by 37, the remainder is 1].
Q: The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.
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64b4f33836fc1bf576504b82- 1999false
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Answer : 4. "992"
Q: What is the sum of two consecutive even numbers, the difference of whose square is 84?
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5ee846ba79b5ea388bec098c- 142true
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Answer : 1. "42 "
Q: The least number that must be added to 8961 to make it exactly divisible by 84 is
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5ee84d9c642b74661722b515- 1141false
- 2107false
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Answer : 3. "27 "
Q: A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by
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650d423410a18f5082eccafc- 111true
- 29false
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Answer : 1. "11"
Explanation :
Let the number be 10x + y
After interchanging the digits,
the number obtained = 10y + x
According to the question,
Resulting number
= 10x + y + 10y + x
= 11x + 11y
= 11 (x + y)
which is exactly divisible by 11.

