IIT JEE 1983 Maths - MCQ Question 8

Algebra Level 2

The rational number which equals the number 2. 357 ‾ 2.\overline{357} with a recurring decimal is given which of the following option?

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None of the others 2379/997 2355/999 2355/1001

Shubhamkar Ayare by Shubhamkar Ayare , 22, India

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2 solutions

Sabhrant Sachan
Dec 29, 2016

Well ... Let

x = 2. 357 ‾ 1000 x = 2357. 357 ‾ \begin{aligned} x & = 2.\overline{357} \\ 1000x & = 2357.\overline{357} \end{aligned}

Subtract both the equations

999 x = 2355 x = 2355 999 999x = 2355 \hspace{5mm} \boxed{x = \dfrac{2355}{999}}

That's it .

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Md Zuhair
Dec 28, 2016

I dont beilieve this came in IIT

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Same here . I am surprised

Sabhrant Sachan - 4 years, 5 months ago

IIT JEE 1983 Mathematics Paper Slide 7.

In addition, one of the book with me also mentions it. Perhaps, IIT has got tougher in the generation gap; or may be, even back then, there used to be 2 tests - one for screening, the other as the entrance test. Even for the 1982 paper, the objective are pretty easy, subjective are comparable to today's moderate questions.

PS: Either post the solution or delete the "solution".

Shubhamkar Ayare - 4 years, 5 months ago

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