Question

if a number is divided by 16 the quotient is 12 and the remainder is six find the number








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Answer 1

Answer:

Ncert solutions

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Mathematics

Chapters in NCERT Solutions - Mathematics, Class 6

Exercises in Playing With Numbers

Question 4

Q4) Using divisibility tests, determine which of the following numbers are divisible by 11:

(a) 5445 (b) 10824 (c) 7138965 (d) 70169308 (e) 10000001

(f) 901153

Solution

Transcript

SOLUTION: divisibility by 11: if the difference between the sum of the digits at odd places and the sum of digits on even places of the number is either 0 or 11 it is divisible by 11

i) 5445

the sum of the odd places 5+4=9

the sum of the even places 4+5=9

9-9=0

since the difference between the sum of the odd places and the sum of even places is 0

it is divisible by 11.

ii) 10824

the sum of the odd places 1+8+4=13

the sum of the even places 0+2=2

13-2=11

since the difference between the sum of the odd places and the sum of even places is 11

it is divisible by 11.

iii) 7138965

the sum of the odd places 7+3+9+5=24

the sum of the even places 1+8+6=15

24-15=9

since the difference between the sum of the odd places and the sum of even places is 19

it is not divisible by 11.

iv) 70169308

the sum of the odd places 7+1+9+0=17

the sum of the even places 0+6+3+8=17

17-17=0

since the difference between the sum of the odd places and the sum of even places is 0

it is divisible by 11.

v) 10000001

the sum of the odd places 1+0+0+0=1

the sum of the even places 0+0+0+1=1

1-1=0

since the difference between the sum of the odd places and the sum of even places is 0

it is divisible by 11.

vi) 901153

the sum of the odd places 9+1+5=15

the sum of the even places 0+1+3=4

15-4=11

since the difference between the sum of the odd places and the sum of even places is 11

it is divisible by 11.

Answer 2

we know that the division algorithm

Dividend=Divisor×Quotient+Remainder

Here Divisor=9,Quotient=12,Remainder=7

The number will be

=9×12+7

=108+7

=115

I hope it's help you