6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

An automobile financier claims to be lending money at simple interest, but he includesthe interest every six months for calculating the principal. If he is charging an interest of10%, the effective rate of interest becomes:

A) 10%	B) 10.25%
C) 10.5%	D) none of these

Answer & Explanation Answer: B) 10.25%

Explanation:

Let the sum be Rs. 100. Then,

S.I. for first 6 months = Rs.[ (100 x 10 x 1)/(100 x 2) ]= Rs.5

S.I. for last 6 months =Rs.[(102 x 10 x 1)/(100 x 2) ] = Rs.5.25

So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25

Effective rate = (110.25 - 100) = 10.25%

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Filed Under: Simple Interest
Exam Prep: GRE

14 10770

Q:

The variance of a set of data is 196. Then the standard deviation of the data is

A) +-14	B) 14
C) 96	D) 98

Answer & Explanation Answer: B) 14

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

1 10757

Q:

In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg?

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

Answer & Explanation Answer: C) 2:1

Explanation:

Given rate of wheat at cheap = Rs. 2.90/kg

Rate of wheat at cost = Rs. 3.20/kg

Mixture rate = Rs. 3/kg

Ratio of mixture =

2.90 3.20

3

(3.20 - 3 = 0.20) (3 - 2.90 = 0.10)

0.20 : 0.10 = 2:1

Hence, wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg in the ratio of 2:1, so that the mixture be worth Rs. 3/kg.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

20 10738

Q:

The value of $(\frac{1}{\log_{3} 60} + \frac{1}{\log_{4} 60} + \frac{1}{\log_{5} 60}) i s$

A) 0	B) 1
C) 5	D) 60

Answer & Explanation Answer: B) 1

Explanation:

=> $\log_{60} (3 * 4 * 5)$

=> $\log_{60} (60)$

= 1

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Filed Under: Logarithms
Exam Prep: Bank Exams
Job Role: Bank PO

81 10729

Q:

The second statement is the ____ of the first.

$1 . P \Rightarrow Q 2 . ~ Q \Rightarrow ~ P$

A) Converse	B) Inverse
C) Contrapositive	D) Contradiction

Answer & Explanation Answer: C) Contrapositive

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

3 10723

Q:

The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ?

A) 27, 9, 21	B) 9, 21, 27
C) 21, 27, 9	D) 9, 27, 21

Answer & Explanation Answer: D) 9, 27, 21

Explanation:

Let Anushka age = X
Charu latha 12 yrs older than Anushka so Charu latha age = x+12
Kajal is thrice as old as Anushka so Kajal age = 3x
The ages of Anushka, Kajal and Charu latha together are 57 years
i.e x + (x+12) + 3x = 57
=> 5x = 45
:- x = 9
Anushka age = 9
Kajal age = 3x = 27
Charu latha age = x+12 = 21

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

15 10715

Q:

The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is :

A) 53	B) 54
C) 55	D) 56

Answer & Explanation Answer: C) 55

Explanation:

Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99) / 9

=( (11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55) / 9

= (4 * 110 + 55)/9 = 495 / 9 = 55.

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Filed Under: Average

10 10695

Q:

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

A) Cup – Tea	B) Jug – Water
C) Bowl – Curd	D) Pen – Butter

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