Question

If six times a number is 48 then the number is:
A. -8
B. 1
C. 48
D. 8

Answer 1

Hint: Divide the given number by 6 to get the desired output. 48 is a positive number so the answer must be a positive number. The answer must be a factor of 48 and a multiple of 6 as given in the question.

Complete step-by-step answer:
We are given that the dividend is 48 and the divisor is 6, we need to find the quotient.
As we learnt that,
Dividend= (divisor × quotient) + remainder, where remainder=0 as per the question given.
From the question we have four options i.e. four quotients. Substitute the value of quotients in the above equation. If we get LHS=RHS after substituting the value of quotient, then the quotient is the required answer.
First quotient is -8.
  $
  \left( i \right) - 8 \\
  48 = 6 \times \left( { - 8} \right) + 0 \\
  48 \ne - 48 \\
  $
Second quotient is 1.
  $
  \left( {ii} \right)1 \\
  48 = 6 \times 1 + 0 \\
  48 \ne 6 \\
  $
Third quotient is 48.
  $
  \left( {iii} \right)48 \\
  48 = 6 \times 48 + 0 \\
  48 \ne 288 \\
  $
Fourth quotient is 8.
  $
  \left( {iv} \right)8 \\
  48 = 6 \times 8 + 0 \\
  48 = 48 \\
  $
LHS=RHS
Therefore, from among the options given in the question option D is correct as six times eight is 48.

Note: Another approach to solve the above problem
Assume the required number as ‘x’
Therefore, 6 times ‘x’ is 48
 $
  6 \times x = 48 \\
  x = \dfrac{{48}}{6} \\
  x = 8 \\
  $
Therefore, the value of x is 8.