Number System Questions Practice Question and Answer
4 Q: If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is
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Answer : 3. "5 "
Explanation :
Required divisor = 3 + 4 – 2 = 5
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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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.
Q: A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ?
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Answer : 4. "4"
Q: A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?
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Answer : 3. "6"
Explanation :
Here, the first divisor 192 is a multiple of second divisor 16.
∴ Required remainder
= remainder obtained by dividing 54 by 16 = 6