6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$ then find the value of $x^{3} - 6 x^{2} + 6 x$ ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Given that $x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

So x - 2 = $2^{\frac{2}{3}} + 2^{\frac{1}{3}}$

Now cubing on both sides, we get

=> $x^{3} - 8 - 6 x^{2} + 12 x = 4 + 2 + 6 (x - 2)$

Therefore, $x^{3} - 6 x^{2} + 6 x = - 6 + 8 = 2$

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Filed Under: Square Roots and Cube Roots
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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11 2734

Q:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres	B) 15 litres
C) 23 litres	D) 18 litres

Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , GATE

9 2732

Q:

The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ?

A) 28	B) 19
C) 37	D) 17

Answer & Explanation Answer: D) 17

Explanation:

Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.
P + Q = 8 ----- (1)
(10Q + P) - (10P + Q) = 54
9(Q - P) = 54
(Q - P) = 6 ----- (2)
Solve (1) and (2) P = 1 and Q = 7
The required number is = 17

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

1 2732

Q:

If the area of three Adjacent faces of a cuboidal box are 120 cm², 72 cm², and 60 cm² respectively, then the volume of the box is

A) 640 cub.cm	B) 720 cub.cm
C) 860 cub.cm	D) 945 cub.cm

Answer & Explanation Answer: B) 720 cub.cm

Explanation:

141544679317.PNG image

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Filed Under: Volume and Surface Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 2732

Q:

You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate.

A) 5%	B) 4%
C) 6%	D) 7%

Answer & Explanation Answer: C) 6%

Explanation:

I=prt

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 2731

Q:

What will be the ratio of simple interest earned by certain amount at the same rate of interestfor 4 years and 6 years ?

A) 1:2	B) 2:1
C) 2:3	D) 3:2

Answer & Explanation Answer: C) 2:3

Explanation:

Let p be the principle amount

And R% be the rate of interest

Then, required ratio = $(\frac{\frac{P \times 4 \times R}{100}}{\frac{P \times 6 \times R}{100}})$

$\Rightarrow \frac{4 P R}{6 P R}$ = 2:3

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Filed Under: Simple Interest
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2 2728

Q:

If the third day of a month is Tuesday, which of the following would be the 25th day of that month?

A) Tuesday	B) Monday
C) Wednesday	D) Sunday

Answer & Explanation Answer: B) Monday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

28 2727

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:2.1

A) 1	B) 2
C) 3	D) 4

Quantitative Aptitude - Arithmetic Ability Questions

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