6500+ Quantitative Aptitude Questions and Answers With Explanation

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
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56 41794

Q:

What is the value of (sin45 - √3) ?

A) (1-√6)/√2	B) (4-√3)/2√3
C) -1/2√3	D) (2-√3)/2√3

Answer & Explanation Answer: A) (1-√6)/√2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 41787

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
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3 41716

Q:

Find the wrong number in the given number series?

10, 21, 54, 109, 189

A) 189	B) 109
C) 54	D) 21

Answer & Explanation Answer: A) 189

Explanation:

The given number series is 10, 21, 54, 109, 189

The series follows a pattern that

10 + 11 = 21

21 + 33 = 54

54 + 55 = 109

109 + 77 = 186

Hence the wrong number in the given number series is 189.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
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5 41706

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 41616

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 41589

Q:

In each of these questions, two equations (I) and (II) are given.

$I . 2 x^{2} + 19 x + 42 = 0 II . 4 y^{2} + 43 y + 30 = 0$

A) x > y	B) x < y
C) x ≥ y	D) x ≤ y

Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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Filed Under: Simplification

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Q:

In the following question, select the odd word pair from the given alternatives.

A) Net – Badminton	B) Gloves – Boxing
C) Players – Chess	D) Ball – Cricket

Quantitative Aptitude - Arithmetic Ability Questions

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