GATB Arithmetic Reasoning 3

Question 1

A pipe fills a tank in 3 hours, and another pipe empties it in 5 hours. If both are open simultaneously, how long does it take to fill the tank?

Accepted Answer

7.5 hours

Answer

Net fill rate = 1/3 − 1/5 = 2/15 per hour; time = 15/2 = 7.5 hours.

Question 2

A salesperson earns a $2,000 base salary plus 5% commission on sales. If she sells $8,000 worth of products, what are her total monthly earnings?

Accepted Answer

$2,400

Answer

Commission = $8,000 × 0.05 = $400; total = $2,000 + $400 = $2,400.

Question 3

A 10-foot ladder leans against a wall with its base 6 feet from the wall. How high up the wall does the ladder reach?

Accepted Answer

8 feet

Answer

Using the Pythagorean theorem: height = √(10² − 6²) = √(100 − 36) = √64 = 8 feet.

Question 4

A store offers a 'buy 2, get 1 free' deal on items costing $15 each. How much does a customer save when buying 6 items?

Accepted Answer

$30

Answer

In 6 items, 2 are free (one free for every 2 purchased), saving 2 × $15 = $30.

Question 5

A box contains 48 chocolates. If 3/8 of them are dark chocolate, how many are dark chocolate?

Accepted Answer

18

Answer

48 × 3/8 = 144 ÷ 8 = 18 dark chocolates.

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