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Question

32. There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:


A

(a) 20

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B

(b) 80

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C

(c) 100

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D
(d) 200
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Solution

The correct option is C

(c) 100


Ans:32) (c)

Let the number of students in rooms A and B be x and y respectively.

Then, x - 10 = y + 10 x - y = 20.... (i)

and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)

Solving (i) and (ii) we get: x = 100, y = 80.

The required answer A = 100


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