6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at $6 \frac{1}{4}$ p.a for 2 years. Find his gain in the transaction per year

A) Rs. 112.50	B) Rs.150.25
C) Rs.167.50	D) Rs.170

Answer & Explanation Answer: A) Rs. 112.50

Explanation:

$g a i n i n 2 y e a r s = R s . [(5000 * \frac{25}{4} * \frac{2}{100}) - (\frac{5000 * 4 * 2}{100})]$

= Rs. (625 - 400)

= Rs. 225

$g a i n i n 1 y e a r = R s . (\frac{225}{2}) = 112.50$

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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121 43166

Q:

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

A) 4050	B) 3600
C) 1200	D) 5040

Answer & Explanation Answer: D) 5040

Explanation:

'LOGARITHMS' contains 10 different letters.

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.

= $10 P_{4}$

= 5040.

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Filed Under: Permutations and Combinations

43 43140

Q:

In following number series only one number is wrong. Find out that wrong or odd number in the series?

6, 78, 858, 7722, 54055, 270270

A) 270270	B) 54055
C) 7722	D) 858

Answer & Explanation Answer: B) 54055

Explanation:

Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,

6 × 13 = 78

65 × 11 = 858

858 × 9 = 7722

7722 × 7 = 54054

54054 × 5 = 270270

Hence, the wrong number is 54055

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 42978

Q:

If $a^{2} = 12, t h e n a^{4} = ?$

A) 144	B) 72
C) 36	D) 24

Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a = (a x a) x (a x a)

a⁴ = a² x a²

= 12 x 12

= 144.

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Filed Under: Numbers
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6 42935

Q:

8, 14, 24, 60, 180

Find the odd man out of the series?

A) 180	B) 60
C) 24	D) 14

Answer & Explanation Answer: D) 14

Explanation:

The given series is 8, 14, 24, 60, 180

8

8 x 1.5 = 12 (NOT 14)

12 x 2 = 24

24 x 2.5 = 60

60 x 3 = 180

Hence, the odd man in the given series is 12.

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Filed Under: Odd Man Out
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4 42877

Q:

A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C's capital is :

A) 4000	B) 5000
C) 6000	D) 7000

Answer & Explanation Answer: A) 4000

Explanation:

A : B : C = 500 : 300 : 200 = 5 : 3 : 2.

Let their capitals be 5x, 3x and 2x respectively.

Then, 5x = 10000

=> x = 2000.

C's capital = 2x = Rs. 4000.

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Filed Under: Partnership

39 42757

Q:

Find the Odd One Out of the following Number Series?

3, 14, 36, 67, 113, 168

A) 14	B) 36
C) 67	D) 113

Answer & Explanation Answer: C) 67

Explanation:

Here the given number series is 3, 14, 36, 67, 113, 168

It follows a pattern that

3

3 + 1 x 11 = 3 + 11 = 14

14 + 2 x 11 = 14 + 22 = 36

36 + 3 x 11 = 36 + 33 = 69

69 + 4 x 11 = 69 + 44 = 113

113 + 5 x 11 = 113 + 55 = 168

Hence, the wrong number is 67.

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Filed Under: Odd Man Out
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6 42726

Q:

The length of a rectangle is twice its breadth if its length is decreased by 5cm and breadth is increased by 5cm, the area of the rectangle is increased by 75 sq cm. Find the length of the rectangle.

A) 30	B) 40
C) 50	D) 60

Answer & Explanation Answer: B) 40

Explanation:

let length = 2x and breadth = x then
(2x-5) (x+5) = (2x * x)+75
5x-25 = 75 => x=20
length of the rectangle = 40 cm

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Filed Under: Area
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Job Role: Bank PO

51 42707

Quantitative Aptitude - Arithmetic Ability Questions

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