Aptitude Algebraic Expressions Test Paper 4

16) The numerator of a fraction is 3 less than the denominator. If numerator be made 3 times and 20 is added to the denominator, the fraction becomes 1/8. What is the fraction?

Answer: A

Explanation:

Let the fraction be Apti Algebraic Expressions . Then

x = y-3........(i)
and Apti Algebraic Expressions

24x = y + 20 ........ (ii)

On solving the above equations, we get:

x = 1, y = 4
Then required fraction is = Apti Algebraic Expressions

17) A train is full of passengers. At the first station, 1/3^rd of the passengers leave the train while 96 board on the train. At second station half of the passengers leave the train and 12 new passengers enter the train. If at this time the number of passengers is 240, find the number of passengers at the beginning.

Answer: A

Explanation:

Let initially the number of passengers was x.

∴ Number of passengers when the train leaves the first station
Apti Algebraic Expressions

Number of passengers when the train leaves the second station:

Apti Algebraic Expressions + 12 = 240

Then Apti Algebraic Expressions =240 - 12

Apti Algebraic Expressions = 228

Apti Algebraic Expressions = 2 × 228 - 96= 456 - 96 = 360
∴ x = 360 × = 540

18) Presently the age of Meera's mother is four times that of Meera's. After 5 years her mother's age will be three times that of Meera's age. What is Meera's present age?

Answer: B

Explanation:

Let Meera's present age is x years, and that of the mother is y years. Then

y = 4x

4x - y = 0.......... (i)

After five years:

y + 5 = 3 (x +5)

3x - y = -10 .......... (ii)

On solving the above two equations:

x = 10, y = 40

So, Meera's present age = 10 years.

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