What is 27 × 1.{2} × 5.52{62} × 0.{6} equal to?

Correct Answer is : None of these

Correct Answer is : None of these

Test Index

RRB NTPC Mains or Stage 2 Model Paper 4 with solutions

Question : 16 of 120

Marks: +1, -0

What is

27 \times 1.\overline{2} \times 5.52\overline{62} \times 0.\overline{6}

equal to?

Solution:

Concept:

Convert recurring decimals into fractions, then multiply and simplify.

Explanation:

Let the given expression be

E = 27 \times 1.\overline{2} \times 5.52\overline{62} \times 0.\overline{6}

First,

1.\overline{2}=1+\frac{2}{9}=\frac{11}{9}

Also,

0.\overline{6}=\frac{6}{9}=\frac{2}{3}

For

x=5.52\overline{62}

, multiply by

100

and

10000

100x=552.\overline{62}

and

10000x=55262.\overline{62}

Subtracting gives

9900x=55262-552=54710

Thus

x=\frac{54710}{9900}=\frac{5471}{990}

Now substitute into

E

E=27 \times \frac{11}{9} \times \frac{5471}{990} \times \frac{2}{3}

Simplify

27 \times \frac{11}{9} \times \frac{2}{3}=22

E=22 \times \frac{5471}{990}

E=\frac{120362}{990}=\frac{60181}{495}

E=121+\frac{286}{495}

\frac{286}{495}=\frac{26}{45}=0.5\overline{7}

Therefore,

E=121.5\overline{7}

This is not equal to

121.\overline{57}

121.\overline{75}

, or

121.7\overline{5}

Hence none of the given options match.

Answer:

121.5\overline{7}

, so the correct choice is D.

Go to Question:

Prev Question

Next Question