Question

1.Find the number which when divided by 26 gives 15 as
quotient and 8 as remainder.

2.Find the largest number of 4 digit which is exactly divided by 35.

3.divide 535 by 31 and verify division algorithm

4.divide 1430 by 19 and verify​

Answer 1

Answer:

1. let the no. be x

then,

x=26*15+8

x=390+8

x=398

2. the largest 4 digit no. divided by 35 :-

suppose the no. is 9999

the no is : 9999 /35

quotient =285 and remainder =24

subtract 24 from 9999

the no. is 9975

3. 535/31=

quotient=17 and remainder=8

verification:- 31*17+8

527+8

535

hence, verified

4. 1430/19=

quotient=75 and remainder=5

verification:- 75*19+5

1425+5

1430

Answer 2

1.)Using remainder theorem we have,

Number =  Divisor * Quotient + Remainder

Number =26*15+8

               =398

so the number is 398.

2.)greatest four digit is 9999

Now divide this by 35

9999/25=285 with remainder 24.

And now subtract then remainder from digit

9999-24=9975

so the answer is 9975.

3.)when we divide 535 by 31 , then

535÷31 = remainder is 8 and quotient is 17

algorithm theorem is:-

Number =  Divisor * Quotient + Remainder

by putting values in the theorem we have,

535=31*17+8

      =535

so it is verified.

4.)1430÷19= remainder is 5 and quotient is 75.

and by algorithm theorem we have

1430=19*75+5

        =1430

so it is verified.

hope it will help you. mark it as brainlist if you get satisfied.