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Q:
A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?
605 0

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 ?
554 0

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
507 0

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
561 0

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
465 0

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
1738 0

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?
644 0

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:
A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?
1116 0

Q: A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ? 605 0650d458363078e50a2943253

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 ? 554 0650d43a2cb11fc5036d68479

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 507 0650d423410a18f5082eccafc

Answer : 1. "11" Explanation :Let the number be 10x + yAfter interchanging the digits,the number obtained = 10y + xAccording 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 561 0650d401473357650645d2108

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 465 0650d3f3f73357650645d20e3

Answer : 4. "1036" Explanation :Let the quotient be Q and the remainder be R. ThenDivisor = 7 Q = 3 R∴ Divisor = 7 Q = 7 × 12 = 84Dividend = 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 1738 05d91f524a01ffd5718894157

Answer : 3. "234" Explanation :Number at (i) = 643 – 175 = 468Number at (ii) = 1752 – 114 = 1638Number at (iii) = 1149 – 213 = 936Clearly, 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? 644 06220c43360ee9a48009afe5b

Answer : 3. "234 " Explanation :Number at (i) = 643 – 175 = 468Number at (ii) = 1752 – 114 = 1638Number at (iii) = 1149 – 213 = 936Clearly, 468, 1638 and 936 are multiples of 234 and 234 > 213.Divisor = 234

Q: A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65? 1116 05d7f1ae6fb24f902086364bb

Answer : 4. "40" Explanation :Let the least number be xy = 5 × 1 + 3 = 8x = 13 × 8 + 1 = 105On dividing 105 by 65, remainder = 40

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Q:
A number when divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?
605 0

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 ?
554 0

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
507 0

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
561 0

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
465 0

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
1738 0

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?
644 0

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:
A number divided by 13 leaves a remainder 1 and if the quotient, thus obtained, is divided by 5, we get a remainder of 3. What will be the remainder if the number is divided by 65?
1116 0

Answer : 4. "40"
Explanation :
Let the least number be x
y = 5 × 1 + 3 = 8
x = 13 × 8 + 1 = 105
On dividing 105 by 65, remainder = 40