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A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?
386 0 650d458363078e50a2943253- 12false
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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
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 ?
338 0 650d43a2cb11fc5036d68479- 11false
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Answer : 4 4
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
293 0 650d423410a18f5082eccafc- 111true
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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.
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
298 0 650d401473357650645d2108- 19false
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Answer : 3 5
Explanation :
Required divisor = 3 + 4 – 2 = 5
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