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Bunuel
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Bunuel
For positive integers a and b, when a is divided by b the remainder is 12. If a/b = 32.16, what is the value of b?

A. 25
B. 32
C. 64
D. 75
E. 96

16/100=12/b
b=75
D
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I would do process elimination for this
a/b = 32.16
a/b = 32 4/25

Answer B, C and E are incorrect because they are not multiple of 25.

Then I would do process elimination further

A 25 x 32 = 800 + 12 (Remainder) = 812

812/25 = 32.48. Not the answer

D 75 x 32 = 2400 + 12 (Remainder) = 2412

2412/75 = 32.16 Answer

Answer is D
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Since a/b = 32.16, Rem is 0.16*b = 12; b = 12/.16 = 1200/16 = 300/4 = 75(Option D)
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CONCEPT : Dividend = Divisor * Quotient + Remainder

Given, a = b*quotient + 12
Since a/b = 32.16, the quotient is 32
Remainder is 0.16*x = 12
x = 12/.16 = 1200/16 = 300/4 = 75
Answer: D
 
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I solved it in an easier way without any calculation. 

It is stated that a/b gives a remainder 12. Hence the min value of b is 13. Now since only option D (i.e. 75) is the only option which is a multiple of 13, hence the answer will be 75. In this way I was able to solve it within 30secs.

Correct me if I'm wrong.­
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For positive integers a and b, when a is divided by b the remainder is 12. If a/b = 32.16

\(\frac{a}{b}\) = 32.16
=> a = 32.16*b
=> a = 32b + 0.16b

Dividend = Quotient * Divisor + Remainder

=> a when divided by b gives 32 as quotient and 0.16b as remainder
=> 0.16b = 12
=> b = \(\frac{12}{0.16}\) = 75

So, Answer will be D
Hope it helps!

Watch the following video to MASTER Remainders

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