6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?

A) 78 paise	B) 48 paise
C) 54 paise	D) 62 paise

Answer & Explanation Answer: B) 48 paise

Explanation:

Quarter of Kg means 250 gm

Less weight, less price (Direct Proportion)

So,

250 : 200 :: 60 : x => x = 48

So 200 gm will cost 48 paise.

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Filed Under: Chain Rule
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33 5218

Q:

A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum?

A) Rs. 7000	B) Rs. 4500
C) Rs. 9000	D) Rs. 8200

Answer & Explanation Answer: C) Rs. 9000

Explanation:

Let Rs. K invested in each scheme

Two years C.I on 20% = 20 + 20 + 20x20/100 = 44%

Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25%

Now,

(P x 44/100) - (P x 32.25/100) = 528.75

=> 11.75 P = 52875

=> P = Rs. 4500

Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

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Filed Under: Compound Interest
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19 5217

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
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2 5217

Q:

If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.

A) 40 units	B) 30 units
C) 13 units	D) 24 units

Answer & Explanation Answer: D) 24 units

Explanation:

Ratio of length and breadth is 6 : 5
∴ Length = 6x
Breadth = 5x
∴ Area = l x b = 30x2
∴ Perimeter = 2 (l + b) = 2(6x + 5x) =22x
∴ (30*x*x)/(22x)= 60/11
∴ X = 4
∴ Length = 6x = 6 x 4 = 24 units

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Filed Under: Area
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2 5217

Q:

Find the cube root of 287496

A) 64	B) 46
C) 56	D) 66

Answer & Explanation Answer: D) 66

Explanation:

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Filed Under: Square Roots and Cube Roots
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1 5208

Q:

$10,000 face value strip bond has 15 years remaining until maturity. If the prevailing market rate of return is 6.5% compounded semiannually, what is the fair market value of the strip bond?

A) 1710.29	B) 2710.29
C) 3710.29	D) 4710.29

Answer & Explanation Answer: C) 3710.29

Explanation:

i=j/m

n =m(Term) = 2(15.5) =31

Fair market value Present value of the face value

=FV(1+ i)^-n

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Filed Under: Compound Interest
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4 5198

Q:

$\frac{3 + \sqrt{6}}{5 \sqrt{3} - 2 \sqrt{12} - \sqrt{30} + \sqrt{50}} = ?$

A) 3	B) 3sqrt{2}
C) 6	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

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Filed Under: Square Roots and Cube Roots
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22 5197

Q:

The price of a car is increased by 25%, by how much percent, must the new price of this car be decreased to restore its original price ?

A) 20%	B) 24%
C) 21%	D) 25%

Answer & Explanation Answer: A) 20%

Explanation:

Suppose that the original price of the car = Rs. x

Then new price of the car

$= x + x \times \frac{25}{100} = \frac{5}{4} x R s$

To restore the original price, the new price must be decreased by

$\frac{5}{4} x - x = \frac{x}{4} R s$

So required percentage $= \frac{\frac{x}{4}}{\frac{5}{4} x} \times 100 %$

= 20%

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Filed Under: Percentage
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7 5196

Quantitative Aptitude - Arithmetic Ability Questions

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