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
Job Role: Bank PO

124 43746

Q:

How many leap years does 100 years have?

A) 25	B) 24
C) 4	D) 26

Answer & Explanation Answer: B) 24

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 100%4 = 25.

But, as 100 is not a leap year => 25 - 1= 24 leap years.

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Filed Under: Calendar

139 43705

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

57 43705

Q:

Choose the correct option for the figure shown below.

A) ∡AOP =∡AOQ	B) ∡OAP = ∡OQA
C) AO=OQ	D) AP=AO

Answer & Explanation Answer: A) ∡AOP =∡AOQ

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 43627

Q:

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by

A) 21 m	B) 26 m
C) 28m	D) 29m

Answer & Explanation Answer: C) 28m

Explanation:

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Filed Under: Races and Games

41 43623

Q:

What is the simplified value of

$\frac{1}{\sqrt{25} - \sqrt{24}} - \frac{1}{\sqrt{24} - \sqrt{23}} + \frac{1}{\sqrt{23} - \sqrt{22}} - \frac{1}{\sqrt{22} - \sqrt{21}} + \frac{1}{\sqrt{21} - \sqrt{20}}$ ?

A) 5 + 2√5	B) 5 – 5√2
C) √25 + √21	D) √25 – 4

Answer & Explanation Answer: A) 5 + 2√5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 43588

Q:

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

A) 20	B) 200
C) 300	D) 400

Answer & Explanation Answer: B) 200

Explanation:

Let length of plot = L meters, then breadth = L - 20 meters

and perimeter = 2[L + L - 20] = [4L - 40] meters

[4L - 40] * 26.50 = 5300

[4L - 40] = 5300 / 26.50 = 200

4L = 240

L = 240/4= 60 meters.

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

30 43582

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 43543

Quantitative Aptitude - Arithmetic Ability Questions

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