6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A women goes to market with Rs.500 to buy oranges.the prices of the oranges have decreased by 10% so he could buy 2kg more with the amount she had.What was the original price of the oranges ?

A) 22.77	B) 25.77
C) 27.77	D) 29.77

Answer & Explanation Answer: C) 27.77

Explanation:

If the price of the oranges decreases by 10%, the woman would save 10% of the money that is Rs.50 to buy the same amount as before.Now in Rs. 50 she can buy 2 kg more, therefore the current price of 1 kg of oranges is Rs25.Now, this current price is after 10% reduction.

Therefore, the original price = 25/0.9 = Rs. 27.77

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Filed Under: Profit and Loss
Exam Prep: CAT , Bank Exams
Job Role: Bank Clerk

37 11959

Q:

If the ratio of two squares is 225:256,then the ratio of the perimeters is

A) 25:16	B) 15:16
C) 16:15	D) 17:16

Answer & Explanation Answer: B) 15:16

Explanation:

$\frac{a^{2}}{b^{2}} = 225 / 256$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

4 11945

Q:

Read the data given and answer the following questions

In a class of 60 students:

42 like Maths,

32 like English,

12 like neither Maths nor English

How many students like both Maths and English?

A) 28	B) 26
C) 16	D) 12

Answer & Explanation Answer: B) 26

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

1 11940

Q:

A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

A) 123	B) 113
C) 246	D) 945

Answer & Explanation Answer: C) 246

Explanation:

A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking.

(i) 1 lady out of 4 and 4 gentlemen out of 6

(ii) 2 ladies out of 4 and 3 gentlemen out of 6

(iii) 3 ladies out of 4 and 2 gentlemen out of 6

(iv) 4 ladies out of 4 and 1 gentlemen out of 6

In case I the number of ways = $C_{1}^{4} \times C_{4}^{6}$ = 4 x 15 = 60

In case II the number of ways = $C_{2}^{4} \times C_{3}^{6}$ = 6 x 20 = 120

In case III the number of ways = $C_{3}^{4} \times C_{2}^{6}$ = 4 x 15 = 60

In case IV the number of ways = $C_{4}^{4} \times C_{1}^{6}$ = 1 x 6 = 6

Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

10 11940

Q:

There are three boats B1, B2 and B3 working together they carry 60 people in each trip. One day an early morning B1 carried 50 people in few trips alone. When it stopped carrying the passengers B2 and B3 started carrying the people together. It took a total of 10 trips to carry 300 people by B1, B2 and B3. It is known that each day on an average 300 people cross the river using only one of the 3 boats B1, B2 and B3. How many trips it would take to B1, to carry 150 passengers alone?

A) 15	B) 30
C) 25	D) 10

Answer & Explanation Answer: A) 15

Explanation:

Combined efficiency of all the three boats = 60 passenger/trip

Now, consider option(a)

15 trips and 150 passengers means efficiency of B1 = 10 passenger/trip

which means in carrying 50 passengers B1 must has taken 5 trips. So the rest trips equal to 5 (10-5 = 5) in which B2 and B3 together carried remaining 250 (300 - 50 = 250) Passengers.

Therefore the efficiency of B2 and B3 = 250/5 = 50 passenger/trip

Since, the combined efficiency of B1, B2 and B3 is 60. Which is same as given in the first statement hence option(a) is correct.

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Filed Under: Time and Work

33 11936

Q:

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

A) 16	B) 12
C) 8	D) 4

Answer & Explanation Answer: A) 16

Explanation:

Let the required number of bottles be x.

More weavers, More mats (Direct Proportion)

More days, More mats (Direct Proportion)

$w e a v e r s 4 : 8} : 4 : x d a y s 4 : 8} : 4 : x$

4 x 4 x x = 8 x 8 x 4

=> x = $\frac{8 * 8 * 4}{4 * 4}$

=> x = 16.

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Filed Under: Chain Rule

7 11933

Q:

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

A) 42	B) 54
C) 46	D) 58

Answer & Explanation Answer: A) 42

Explanation:

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

7 11930

Q:

A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio:

A) 3:5	B) 2:1
C) 16:15	D) 4:5

Answer & Explanation Answer: C) 16:15

Explanation:

For an income of Re. 1 in 9% stock at 96, investment = Rs. 96/9 = Rs.32/3

For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12 = Rs. 10.

Ratio of investments =(32/3) : 10 = 32 : 30 = 16 : 15.

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Filed Under: Stocks and Shares

5 11927

Quantitative Aptitude - Arithmetic Ability Questions

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