6500+ Quantitative Aptitude Questions and Answers With Explanation

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

Students who like only Maths forms what percentage of the total number of students in the class?

A) 26.67%	B) 24.22%
C) 28.80%	D) 32.82%

Answer & Explanation Answer: A) 26.67%

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

0 3909

Q:

Find the lowest common multiple of 24, 36 and 40?

A) 360	B) 420
C) 240	D) 120

Answer & Explanation Answer: A) 360

Explanation:

To find the LCM of 24, 36 and 40

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

40 = 2 x 2 x 2 x 5

Now, LCM of 24, 36 and 40 = 2 x 2 x 2 x 3 x 3 x 5

= 8 x 9 x 5

= 72 x 5

= 360

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

19 3909

Q:

Manideep purchases 30kg of barley at the rate of 11.50/kg and 20kg at the rate of 14.25/kg. He mixed the two and sold the mixture in the shop. At what price per kg should he sell the mixture to make 30% profit to him ?

A) 15.84	B) 14.92
C) 13.98	D) 16.38

Answer & Explanation Answer: D) 16.38

Explanation:

Given, Manideep purchases 30kg of barley at the rate of 11.50/kg nad 20kg at the rate of 14.25/kg.

Total cost of the mixture of barley = (30 x 11.50) + (20 x 14.25)

=> Total cost of the mixture = Rs. 630

Total kgs of the mixture = 30 + 20 = 50kg

Cost of mixture/kg = 630/50 = 12.6/kg

To make 30% of profit

=> Selling price for manideep = 12.6 + 30% x 12.6

=> Selling price for manideep = 12.6 + 3.78 = 16.38/kg.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 3904

Q:

${(a - b)}^{2} + 2 ab = ?$

A) a2 - b2	B) a2 + b2
C) a2 - 4ab + b2	D) a2 - 2ab + b2

Answer & Explanation Answer: B) a2 + b2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 3902

Q:

The ratio of the cost price and selling price of a shirt is 32 : 37. What is the profit percentage?

A) 15.63	B) 13.51
C) 17.21	D) 14.44

Answer & Explanation Answer: A) 15.63

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

5 3900

Q:

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A) 88.01 lit	B) 87.48 lit
C) 87.51 lit	D) 87.62 lit

Answer & Explanation Answer: B) 87.48 lit

Explanation:

For these type of problems,

Quantity of Diesel remained = $(q {(1 - \frac{p}{q})}^{n})$

Here p = 12 , q = 120

=> $(120 {(1 - \frac{12}{120})}^{3})$ = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

14 3899

Q:

When $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$ is divided by 25 the remainder is:

A) 5	B) 17
C) 7	D) 0

Answer & Explanation Answer: D) 0

Explanation:

Given, $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$

$7^{21}$ (1 + 7 + 49 + 343)
$7^{21}$ (400)

Now, 400 is divisible by 25. The remainder will be 0

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

2 3898

Q:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

519 328 746 495 837

A) 146	B) 203
C) 345	D) 96

Answer & Explanation Answer: A) 146

Explanation:

From the given series of numbers, if half of the second highest number is subtracted from the third highest number, what will be the value ?

Now arranging the given numbers in descending order.
837 746 519 495 328

519 - 746/2 = 519 - 373 = 146.

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

3 3894

Quantitative Aptitude - Arithmetic Ability Questions

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