6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the ratio of the areas of the incircle and circumcircle of a square.

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

Answer & Explanation Answer: B) 1:2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2 x^{2}} = \sqrt{2 x}$

Radius of incircle = $\frac{x}{2}$

Radius of circum circle= $\sqrt{2} \times \frac{x}{2} = \frac{x}{\sqrt{2}}$

Required ratio = $\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2} = \frac{1}{4} : \frac{1}{2} = 1 : 2$

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Filed Under: Area
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83 42291

Q:

$\frac{3}{5} + \frac{3}{7} = ?$

A) 935	B) 612
C) 1135	D) 635

Answer & Explanation Answer: C) 1135

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 42288

Q:

3, 11, 80, 291, 803

Find the odd man out of the number series?

A) 11	B) 803
C) 80	D) 291

Answer & Explanation Answer: C) 80

Explanation:

The given number series is 3, 11, 80, 291, 803

$3 3 + 2^{3} = 3 + 8 = 11 11 + 4^{3} = 11 + 64 = 75 (not 80) 75 + 6^{3} = 75 + 216 = 291 291 + 8^{3} = 291 + 512 = 803$

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 42175

Q:

A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ?

A) 20 km	B) 16 km
C) 14 km	D) 10 km

Answer & Explanation Answer: D) 10 km

Explanation:

Let distance = x km.
Time taken at 3 kmph : dist/speed = x/3 = 20 min late.
time taken at 4 kmph : x/4 = 30 min earlier
difference between time taken : 30-(-20) = 50 mins = 50/60 hours.
x/3- x/4 = 50/60
x/12 = 5/6
x = 10 km.

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

56 41967

Q:

Find the Next Number in the given number series?

3, 10.5, 36.75, 128.625, ?

A) 450.187	B) 442.151
C) 441.231	D) 456.852

Answer & Explanation Answer: A) 450.187

Explanation:

Pattern is

3

3 x 3.5 = 10.5

10.5 x 3.5 = 36.75

36.75 x 3.5 = 128.625

128.625 x 3.5 = 450.187

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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9 41963

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
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0 41731

Q:

A and B started a business jointly A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is :

A) 22000	B) 28000
C) 32000	D) 36000

Answer & Explanation Answer: B) 28000

Explanation:

Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.

So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.

B's profit : Total profit = 1 : 7.

Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.

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Filed Under: Partnership

32 41664

Q:

If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200, find the compound interest on the same sum for the same period at the same rate.

A) 1261	B) 1271
C) 1281	D) 1291

Answer & Explanation Answer: A) 1261

Explanation:

Clearly, Rate = 5% p.a., Time = 3 years, S.I.= Rs. 1200. . .
So principal=RS [100*1200]/3*5=RS 8000
Amount = Rs. 8000 x [1 +5/100]^3 - = Rs. 9261.
.. C.I. = Rs. (9261 - 8000) = Rs. 1261.

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Filed Under: Compound Interest
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89 41616

Quantitative Aptitude - Arithmetic Ability Questions

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