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Updated on: 01 Jul 2018, 00:34
Originally posted by CAMANISHPARMAR on 16 Jun 2018, 09:55.
Last edited by CAMANISHPARMAR on 01 Jul 2018, 00:34, edited 1 time in total.
Last edited by CAMANISHPARMAR on 01 Jul 2018, 00:34, edited 1 time in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
68% (02:25) correct
32%
(02:12)
wrong
based on 407
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(1.0004)(0.9998) – (1.0002)(0.9996) =
(A) 0.00000002
(B) 0.00000004
(C) 0.00000008
(D) 0.0004
(E) 0.0002
(A) 0.00000002
(B) 0.00000004
(C) 0.00000008
(D) 0.0004
(E) 0.0002
Updated on: 01 Jul 2018, 00:33
Originally posted by CAMANISHPARMAR on 16 Jun 2018, 10:02.
Last edited by CAMANISHPARMAR on 01 Jul 2018, 00:33, edited 1 time in total.
Last edited by CAMANISHPARMAR on 01 Jul 2018, 00:33, edited 1 time in total.
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Let x = 0.0002.
Therefore (1.0004)(0.9998) – (1.0002)(0.9996) can be written as:-
= (1 + 2x)(1 – x) – (1 + x)(1 – 2x) = 2x [On simplification]
Substitute x = 0.0002 in 2x
Therefore 2(0.0002) = 0.0004.
Correct Answer is Option (D)
Therefore (1.0004)(0.9998) – (1.0002)(0.9996) can be written as:-
= (1 + 2x)(1 – x) – (1 + x)(1 – 2x) = 2x [On simplification]
Substitute x = 0.0002 in 2x
Therefore 2(0.0002) = 0.0004.
Correct Answer is Option (D)
General Discussion
16 Jun 2018, 11:56
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CAMANISHPARMAR
(1.0004)(0.9998) is of form \((a + b)(a - b) = (a^2 - b^2)\) where a = 1.0001 and b = 0.0003
(1.0002)(0.9996) is of form \((a + b)(a - b) = (a^2 - b^2)\) where a = 0.9999 and b = 0.0003
\((1.0004)(0.9998) – (1.0002)(0.9996) = (1.0001)^2-(0.0003)^2-(0.9999)^2+(0.0003)^2 = (1.0001)^2 - (0.9999)^2 = 2(0.0002)\)
Therefore, the value of the expression is 0.0004(Option D)
