GATB - General Aptitude Test Battery Numerical Aptitude: Reasoning Questions and Answers — Questions and Answers
Question 1: A train travels at a constant speed of 75 miles per hour. How long will it take the train to travel 375 miles?
- 4.5 hours
- 5 hours (Correct answer)
- 5.5 hours
- 6 hours
Correct answer: 5 hours
To find the time it takes for the train to travel 375 miles, you can use the formula: Time = Distance / Speed. In this case, Time = 375 miles / 75 mph = 5 hours.
Question 2: A clothing store is having a sale where a shirt that originally costs $40 is marked down by 25%. What is the new price of the shirt?
- $30 (Correct answer)
- $25
- $15
- $10
Correct answer: $30
To find the new price of the shirt, you first need to calculate the discount amount. The discount is 25% of $40, which is 0.25 * $40 = $10. Then, subtract the discount from the original price: $40 - $10 = $30.
Question 3: What is the next number in the following sequence: 3, 9, 27, 81, ...?
- 162
- 243 (Correct answer)
- 324
- 108
Correct answer: 243
This is a geometric sequence where each number is obtained by multiplying the previous number by 3. So, the next number in the sequence is 81 * 3 = 243.
Question 4: A factory produces 1,500 widgets in an 8-hour shift. If the factory operates for three 8-hour shifts per day, how many widgets does it produce in a 5-day work week?
- 18,000
- 7,500
- 22,500 (Correct answer)
- 12,000
Correct answer: 22,500
First, calculate the total number of widgets produced in one day: 1,500 widgets/shift * 3 shifts/day = 4,500 widgets/day. Then, multiply the daily production by the number of days in the work week: 4,500 widgets/day * 5 days/week = 22,500 widgets.
Question 5: A rectangular garden has a length of 15 feet and a width of 10 feet. What is the perimeter of the garden?
- 25 feet
- 50 feet (Correct answer)
- 150 square feet
- 100 feet
Correct answer: 50 feet
The perimeter of a rectangle is calculated using the formula P = 2(length + width). In this case, P = 2(15 feet + 10 feet) = 2(25 feet) = 50 feet.
Question 6: If 4 workers can pave a road in 10 days, how many days would it take 8 workers to pave the same road, assuming they work at the same rate?
- 20 days
- 10 days
- 5 days (Correct answer)
- 2.5 days
Correct answer: 5 days
This is an inverse proportion problem. The total work is 4 workers * 10 days = 40 worker-days. To find the time it would take 8 workers, divide the total work by the new number of workers: 40 worker-days / 8 workers = 5 days.
A train travels at a constant speed of 75 miles per hour.
How long will it take the train to travel 375 miles?