Question Bank - Logical Reasoning

Here's the question bank on all the logical reasoning topics.

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Dipa is seven years older than Shikha. Fifteen years ago, Shikas age was three quarters of Dipas age. Find the present age of Dipa.

A.
36 years
B.
42 years
C.
43 years
D.
41 years

Solution:

Let the age of Dipa = ALet the age of Shikha = BGiven:At present,A = B + 7 Fifteen years ago,(B - 15) = \(\frac{3}{4}\)× (A -15)Calculations:(B - 15) = \(\frac{3}{4}\)× (A -15)4 × (B - 15) = 3 × (A - 15)(4 × B) - 60 = (3 × A) - 45(4 × B) - (3 × A) = 15As given, B = A - 7We put it in the above equationNow, [4 × (A - 7)] - (3 × A) = 15(4 × A) - 28 - (3 × A) = 15 (4 × A) - (3 × A) = 43A = 43Dipa's age = 43 Hence, The correct answer is "43".

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