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01 Mar 2024, 02:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
79% (01:55) correct
21%
(02:24)
wrong
based on 182
sessions
History
Date
Time
Result
Not Attempted Yet
What is k if \(\frac{3.5+0.125}{2.5}=\frac{70+2.5}{k}\) ?
(A) 37.5
(B) 45
(C) 50
(D) 60
(E) 75
(A) 37.5
(B) 45
(C) 50
(D) 60
(E) 75
01 Mar 2024, 03:04
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Questions like this requires some thinking. Dont jump into solving the classical way (cross multiplication).
Observe Numerator of LHS
(3.5 + 0.125)
and RHS
(70+2.5)
Multiplying LHS numerator by 20 gives us RHS.
But we dont want to multuply RHS too, hence divide same LHS by 20 instead!
\(\frac{20}{20}\) * \(\frac{(3.5+0.125)}{(2.5)}\) = \(\frac{(70 +2.5)}{(20*2.5)}\)
Numerators of both the sides are same now.
Hence denominators must be equal.
k = 20*2.5 = 50
Observe Numerator of LHS
(3.5 + 0.125)
and RHS
(70+2.5)
Multiplying LHS numerator by 20 gives us RHS.
But we dont want to multuply RHS too, hence divide same LHS by 20 instead!
\(\frac{20}{20}\) * \(\frac{(3.5+0.125)}{(2.5)}\) = \(\frac{(70 +2.5)}{(20*2.5)}\)
Numerators of both the sides are same now.
Hence denominators must be equal.
k = 20*2.5 = 50
General Discussion
01 Mar 2024, 15:23
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Option C
If you're smart enough you'll get the Visual observation that RHS is nothing but 20*(LHS)
So, K = 20*2.5 = 50
If you're smart enough you'll get the Visual observation that RHS is nothing but 20*(LHS)
So, K = 20*2.5 = 50
