6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

A) 10 days	B) 14 days
C) 11 days	D) 9 days

Answer & Explanation Answer: A) 10 days

Explanation:

For 30 days he receives

30 x 25 = 750

Actually he gets 425

Therefore, Fine is 750 - 425 = 325

=> No of days absent = 325/(25+7.50)= 10

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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5 8907

Q:

Water boils at 212°F or 100°C and melts at 32°F or 0°C . If the temparature of the particular day is 35°C , it is equal to :

A) 85°F	B) 95°F
C) 96°F	D) 97°F

Answer & Explanation Answer: B) 95°F

Explanation:

Let F and C denotes the temparature in Fahrenheit anid Celcsius respectively.

Then, (F - 32) /(212 - 32) = (C - 0)/(100 - 0), if c = 35, then F = 95.

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Filed Under: Simplification

6 8905

Q:

Find the odd one out of the group ?

A) 708	B) 392
C) 618	D) 816

Answer & Explanation Answer: B) 392

Explanation:

The sum of the digits in 708, 618 and 816 is 15, but not in 392.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 8901

Q:

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A) 173 m	B) 200 m
C) 273 m	D) 300 m

Answer & Explanation Answer: C) 273 m

Explanation:

Let AB be the lighthouse and C and D be the positions of the ships.

Then, AB = 100m, $∠ A C B = 30 ° a n d ∠ A D B = 45 °$

$\frac{A B}{A C} = \tan 30 ° = \frac{1}{\sqrt{3}} = > A C = A B * \sqrt{3} = 100 \sqrt{3 m}$

$\frac{A B}{A D} = \tan 45 ° = 1 = > A D = A B = 100 m$

CD=(AC+AD)= $(100 \sqrt{3} + 100) m = 100 (\sqrt{3} + 1) = 100 * 2.73 = 273 m$

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Filed Under: Height and Distance

17 8900

Q:

In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present?

A) 72	B) 84
C) 93	D) 81

Answer & Explanation Answer: B) 84

Explanation:

Ratio of girls and boys = 100% : 75% = 4:3

Difference is 1 unit = 35

So, 3 units = 35 x 3 = 105

If 20% absent, that’s mean 80% present.

So, present boys = 80% of 105 = $\frac{80 \times 105}{100} = 84$

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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18 8876

Q:

At Arihant Prakasham every book goes hrough 3 phases (or stages) typing, composing and binding. There are 16 typists, 10 composers and 15 binders. A typist can type 8 books in each hour, a composer can compose 12 books in each hour and a binder can bind 12 books in each hour. All of the people at Arihant Prakasham works for 10 hours a day and each person is trained to do only the ob of 1 category.How many books can be prepared in each day?

A) 1500	B) 1200
C) 1440	D) 1380

Answer & Explanation Answer: B) 1200

Explanation:

T C B

16 10 15

8 12 12

128 120 180 <------- in one hour

1280 1200 1800 <------- in 10 hours

Since, restriction is imposed by composers i.e,since only 1200 books can be composed i 10 hours so not more than 1200 books can be finally pepared.

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Filed Under: Time and Work

8 8874

Q:

The odds favouring the event of a person hitting a target are 3 to 5. The odds against the event of another person hitting the target are 3 to 2. If each of them fire once at the target, find the probability that both of them hit the target.

A) 1/20	B) 4/20
C) 1/20	D) 3/20

Answer & Explanation Answer: D) 3/20

Explanation:

Let A be the event of first person hitting the target,

$P (A) = \frac{3}{3 + 5} = \frac{3}{8} (o d d i n f a v o u r)$

Let B be the event of Second person hitting a target.

$P (B) = \frac{2}{3 + 2} = \frac{2}{5} (o d d a g a i n s t)$

Since both events are independent and both will hit the target so,

$P (A \cap B) = P (A) P (B) = \frac{3}{8} \times \frac{2}{5} = \frac{3}{20}$

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Filed Under: Probability

3 8871

Q:

Which of the following fractions is the least of all?

A) 6/5	B) 4/3
C) 3/2	D) 5/4

Quantitative Aptitude - Arithmetic Ability Questions

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