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The rational number, which equals the nu...

The rational number, which equals the number `2.bar 357` with recurring decimal is:

A

`(2355)/(1001)`

B

`(2370)/(999)`

C

`(2355)/(999)`

D

`(2359)/(991)`

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
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  2. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

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  3. The rational number, which equals the number 2.bar 357 with recurring ...

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  4. The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...

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  5. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

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  6. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

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  7. If A(1),A(2) be two A.M.'s and G(1),G(2) be two G.M.,s between a and b...

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  8. The first and last term of an A.P. are a and l respectively. If S be t...

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  9. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

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  10. . The sum of an infinite number of terms of a G.P. is 20, and the sum ...

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  11. The eighth term of a geometric progression is 128 and common ratio is ...

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  12. l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive...

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  13. If a1, a2, a3, be terms of an A.P. if (a1+a2++ap)/(a1+a2++aq)=(p^2)/(...

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  14. The sum of 10 terms of the series sqrt2 + sqrt6 + sqrt18 +... is

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  15. If 1^2+2^2+3^2+n^2-1015 then the value of n is equal to (A) 13 (B) 14 ...

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  16. Sum of series 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.... upto 22 terms is

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  17. If a,b,c are in A.P and a^2, b^2, c^2 are in H.P then

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  18. The mth term of an A. P. is n and nth term is m. Then rth term of it i...

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  19. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

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  20. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

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