6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be:

A) 20 cm	B) 25 cm
C) 35 cm	D) 50 cm

Answer & Explanation Answer: B) 25 cm

Explanation:

Total volume of water displaced =(4 x 50) cu.m = 200 cu.m

Rise in water level = $(\frac{200}{40 \times 20})$ =0.25m = 25cm

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Filed Under: Volume and Surface Area

64 50801

Q:

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

A) 360	B) 700
C) 720	D) 120

Answer & Explanation Answer: C) 720

Explanation:

The word 'OPTICAL' contains 7 different letters.

When the vowels OIA are always together, they can be supposed to form one letter.

Then, we have to arrange the letters PTCL (OIA).

Now, 5 letters can be arranged in 5! = 120 ways.

The vowels (OIA) can be arranged among themselves in 3! = 6 ways.

Required number of ways = (120 x 6) = 720.

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Filed Under: Permutations and Combinations

51 50800

Q:

${(8)}^{\frac{2}{3}}$ = ?

A) √4	B) 2
C) 4	D) 64

Answer & Explanation Answer: C) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50778

Q:

A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the oiginal number ?

A) 1000	B) 2000
C) 3000	D) 4000

Answer & Explanation Answer: A) 1000

Explanation:

Let the original number be x.

Final number obtained = 110% of (90% of x) =(110/100 * 90/100 * x) = (99/100)x.

x-(99/100)x=10

=> x =1000

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Filed Under: Percentage

141 50777

Q:

Reena and Shaloo are partners in a business, Reena invests Rs, 35,000 for 8 months and Shaloo invests Rs. 42,000 for 10 months, out of a profit of Rs. 31,570, Reena's share is :

A) 12628	B) 18245
C) 11235	D) 10253

Answer & Explanation Answer: A) 12628

Explanation:

Ratio of their shares = (35000 * 8) : (42000 * 10) = 2 : 3.

Reena's share Rs. 31570 * (2 / 5) = Rs. 12628.

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Filed Under: Partnership

31 50746

Q:

Direction: What will come in place of the question mark (?) in the following question?

504÷42x7-63+28 = ?

A) 72	B) 48
C) 62	D) 38

Answer & Explanation Answer:

Explanation:

504/42 × 7 - 63 + 28 = 84 – 63 + 28 = 49

Hence option 5 is correct.

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

0 50719

Q:

45 - [38 - {80 / 4 - (8 - 12 / 3) / 4}] = ?

A) 25	B) 27
C) 26	D) 28

Answer & Explanation Answer: C) 26

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

2 50629

Q:

If $(x + \frac{1}{x}) = 2,$ then find the value of $(x^{3} + \frac{1}{x^{3}}) \div (x^{18} + \frac{1}{x^{18}})$

A) 2/9	B) 5
C) 1	D) 1/9

Quantitative Aptitude - Arithmetic Ability Questions

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