Question

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Answer 1

QUESTION:

Which least number should be subtracted from 1000 so that the difference is exactly divisible by 46?

ANSWER:

• The least number to be subtracted = 34.

GIVEN:

• 1000 is subtracted from a number.

• Difference is exactly divisible by 46.

TO FIND:

• The least number to be subtracted.

EXPLANATION:

Divide 1000 by 46

$\begin{array}{c|c} &\sf \underline{\qquad 21 \qquad} \\ \sf 46&\sf 1000\\ &\sf\underline{\ \ 92 \ \ \ } \\ & \sf \ \ \ \ 80\\ &\sf\underline{ \ \ \ \ \ 46 \ } \\ &\sf \underline{\ \ \ \ \ \ \ 34 \ \ \ }\end{array}$

Quotient = 21

Remainder = 34

Hence the least number that should be subtracted from 1000 to make the difference is exactly divisible by 46 is 34.

VERIFICATION:

1000 - 36 = 966

966 / 46 = 21

HENCE VERIFIED.

SIMILAR QUESTION:

Which least number should be subtracted from 1000 so that the difference is exactly divisible by 35?

ANSWER:

• The least number to be subtracted = 20.

GIVEN:

• 1000 is subtracted from a number.

• Difference is exactly divisible by 35.

TO FIND:

• The least number to be subtracted.

EXPLANATION:

Divide 1000 by 35.

$\begin{array}{c|c} &\sf \underline{\qquad 28 \qquad} \\ \sf 35&\sf 1000\\ &\sf\underline{\ \ 70 \ \ \ } \\ & \sf \ \ \ \ 300\\ &\sf\underline{ \ \ \ \ \ 280 \ } \\ &\sf \underline{\ \ \ \ \ \ \ 20 \ \ \ }\end{array}$

Quotient = 28

Remainder = 20

Hence the least number that should be subtracted from 1000 to make the difference is exactly divisible by 35 is 20.

VERIFICATION:

1000 - 20 = 980

980 / 35 = 28

HENCE VERIFIED.