Free GATB Problem Solving Questions and Answers

Question 1

A box contains 7 black pencils and 28 blue ones. What is the ratio between the black and blue pens?

Accepted Answer

1:4

Answer

Explanation:
The ratio between black and blue pens is 7 to 28 or 7:28. Bring to the lowest terms by dividing both sides by 7 gives 1:4.

Question 2

The manager of a weaving factory estimates that if 10 machines run at 100% efficiency for 8 hours, they will produce 1450 meters of cloth. Due to some technical problems, 4 machines run at 95% efficiency and the remaining 6 at 90% efficiency. How many meters of cloth can these machines produce in 8 hours?

Accepted Answer

1334 meters

Answer

Explanation:
At 100% efficiency, 1 machine produces 1450/10 = 145 m of cloth.
At 95% efficiency, 4 machines produce 4 * 145 * 95/100 = 551 m of cloth.
At 90% efficiency, 6 machines produce 6 * 145 * 90/100 = 783 m of cloth.
Total cloth produced by all 10 machines = 551 + 783 = 1334 m
Since the information provided and the question are based on 8 hours, we did not need to use time to reach the answer.

Question 3

If Lynn can type a page in p minutes, what portion of the page can she do in 5 minutes?

Accepted Answer

5/p

Answer

Explanation:
This is a simple direct proportion problem:
If Lynn can type 1 page in p minutes, then she can type x pages in 5 minutes
We do cross multiplication: x * p = 5 * 1
Then, x = 5/p

Question 4

The sale price of the car is $12,590, which is 20% off the original price. What is the original price?

Accepted Answer

$15,737.50

Answer

Explanation:
Original price = x,
80/100 = 12590/X,
80X = 1259000,
X = 15,737.50

Question 5

Richard gives ‘s’ amount of salary to each of his ‘n’ employees weekly. If he has ‘x’ amount of money, how many days he can employ these ‘n’ employees.

Accepted Answer

7x/ns

Answer

Explanation:
We are given that each of the n employees earns s amount of salary weekly. This means that one employee earns s salary weekly. So; Richard has ‘ns’ amount of money to employ n employees for a week.
We are asked to find the number of days n employees can be employed with x amount of money. We can do simple direct proportion:
If Richard can employ n employees for 7 days with ‘ns’ amount of money, Richard can employ n employees for y days with x amount of money … y is the number of days we need to find.
We can do cross multiplication:
y = (x * 7)/(ns)
y = 7x/ns

GATB - General Aptitude Test Battery Practice Test

GATB - General Aptitude Test Battery Practice Test

Free GATB Problem Solving Questions and Answers