There are two examinations rooms A and B. If 10 students are sent from A to B, t

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Home Aptitude

Question
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:
Options
A. 20
B. 80
C. 100
D. 200

Correct Answer

100

Explanation
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.

1.
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options
A. 18 days
B. 21 days
C. 3 days
D. 6 days

5.
Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?
Options
A. 2 : 5
B. 3 : 5
C. 4 : 5
D. 7 : 3

7.
A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole?
Options
A. 150 m
B. 200 m
C. 125 m
D. 115 m

9. A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Options
A. Rs. 35
B. Rs. 245
C. Rs. 350
D. Cannot be determined
E. None of these

10.
If the hands of a clock coincide in every 65 minutes (true time), in 24 hours the clock will gain:
Options
A. 10 10 minutes. 143
B. 9 12 minutes. 143
C. 11 12 minutes. 143
D. 12 10 minutes. 143

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