6500+ Quantitative Aptitude Questions and Answers With Explanation

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
Exam Prep: Bank Exams

2 5112

Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55	B) 105
C) 215	D) 148

Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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Filed Under: Problems on Numbers
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6 5109

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 5104

Q:

Rohan spends 24% of an amount of money on an insurance policy, 34% on food, 19% on children’s education and 17% on recreation. He deposits the remaining amount of Rs. 540 in bank. How much total amount does he spend on food and insurance policy together?

A) Rs. 6350	B) Rs. 5220
C) Rs. 5890	D) Rs. 6458

Answer & Explanation Answer: B) Rs. 5220

Explanation:

Remaining % of amount with Rohan

= 100 - (24 + 34 + 17 + 19)

= 100 - 94

= 6%

=> 6% = 540

=> 100% = ?

540 x 100/6 = Rs. 9000

Now, Money spent on insurance and food is

= 34 + 24 = 58% of 9000

= 58 x 9000/100

= 58 x 90

= Rs. 5220

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Filed Under: Percentage
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5 5103

Q:

If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is

A) 9!	B) 9!/2
C) 10!	D) 10!/2

Answer & Explanation Answer: D) 10!/2

Explanation:

As A1 speaks always after A2, they can speak only in 1st to 9th places and

A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place

A2 can speak in 9 places the remaining

A3, A4, A5,...A10 has no restriction. So, they can speak in 9.8! ways. i.e

when A2 speaks in the first place, the number of ways they can speak is 9.8!.

When A2 speaks in second place, the number of ways they can speak is 8.8!.

When A2 speaks in third place, the number of ways they can speak is 7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8!

Therefore,Total Number of ways they can speak = (9+8+7+6+5+4+3+2+1) 8! = $\frac{9}{2} (9 + 1) 8!$ = 10!/2

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Filed Under: Permutations and Combinations
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5 5095

Q:

The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ?

A) 12.50 cm	B) 14.21 cm
C) 15.98 cm	D) 17.08 cm

Answer & Explanation Answer: D) 17.08 cm

Explanation:

Let the length of the rectangle = L cm

Then the breadth of the rectangle = (L - 10) cm

Perimeter of a rectangle = 2(L + B) cm

=> 44 = 2(L + L - 10)

=> 44 = 4L - 20

=> 4L = 64

=> L = 16 cm

=> B = L - 10 = 6 cm

Diagonal = $\sqrt{L^{2} + B^{2}}$ = $\sqrt{16^{2} + 6^{2}}$ = 17.08 cm

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Filed Under: Area
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11 5088

Q:

M can complete a piece of work in 10 days. N is 33.33% less efficient than M. calculate the number of days required to both to complete the work?

A) 6 days	B) 8 days
C) 11 days	D) 13 days

Answer & Explanation Answer: A) 6 days

Explanation:

M = 10 days

The ratio of efficiency of M & N are 3 : 2

Hence, the time rquired for N alone = 15 days

=> Required time taken t=by both to complete the work = M x N / M + N

= 10 x 15/ 10 + 15

= 150/25

= 6 days.

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Filed Under: Time and Work
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16 5082

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 5075

Quantitative Aptitude - Arithmetic Ability Questions

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