Maths Practice Question and Answer
8 Q: Which of the following fraction is the smallest?
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Answer : 4. "
Explanation :
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
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 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: 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: In a question on division, the divisor is 7 times the quotient and 3 times the remainder. If the remainder is 28, then the dividend is
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Answer : 4. "1036"
Explanation :
Let the quotient be Q and the remainder be R. Then
Divisor = 7 Q = 3 R
∴ Divisor = 7 Q = 7 × 12 = 84
Dividend = Divisor × Quotient + Remainder = 84 × 12 + 28 = 1008 + 28 = 1036
Q: 64329 is divided by a certain number, 175, 114 and 213 appear as three successive remainders. The devisor is
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Answer : 3. "234"
Explanation :
Number at (i) = 643 – 175 = 468
Number at (ii) = 1752 – 114 = 1638
Number at (iii) = 1149 – 213 = 936
Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.
Divisor = 234
Q: 64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is?
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Answer : 3. "234 "
Explanation :
Number at (i) = 643 – 175 = 468
Number at (ii) = 1752 – 114 = 1638
Number at (iii) = 1149 – 213 = 936
Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.
Divisor = 234