6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ?

A) 87	B) 81
C) 83	D) 85

Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
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4 3451

Q:

In how many ways word of 'GLACIOUS' can be arranged such that 'C' always comes at end?

A) 3360	B) 5040
C) 720	D) 1080

Answer & Explanation Answer: B) 5040

Explanation:

Given word is GLACIOUS has 8 letters.

=> C is fixed in one of the 8 places

Then, the remaining 7 letters can be arranged in 7! ways = 5040.

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Filed Under: Permutations and Combinations
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2 3432

Q:

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1} t h e n f i n d t h e v a l u e o f [\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}] i s : :$

A) 3/4	B) 4/3
C) 3/5	D) 5/3

Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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Filed Under: Square Roots and Cube Roots
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7 3430

Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3%	B) 20%
C) 25%	D) 27%

Answer & Explanation Answer: C) 25%

Explanation:

Let the breadth of the rectangle = x

Length of the the rectangle will be = 3 times of breadth = 3x

So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x

New breadth after increase = x + 10x/100 = 1.1x

New length after increase = 3x + 30*3x/100 = 3.9x

New perimeter = 2(1.1x + 3.9x) = 10x

Percentage change in perimeter = ( 10x-8x)*100/8x = 25%

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Filed Under: Area
Exam Prep: Bank Exams

10 3426

Q:

The periodic interest rate corresponding to: 9.75% compounded semiannually

A) 4.875	B) 3.785
C) 4.865	D) 4.975

Answer & Explanation Answer: A) 4.875

Explanation:

i=j/m

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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2 3424

Q:

The calendar for the year 2020 will be the same for the year

A) 2040	B) 2076
C) 2096	D) 2044

Answer & Explanation Answer: D) 2044

Explanation:

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Filed Under: Calendar
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42 3420

Q:

A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ?

A) 51/24	B) 87/5
C) 57/12	D) 60/11

Answer & Explanation Answer: D) 60/11

Explanation:

A can complete the work in 12 days working 8 hours a day

=> Number of hours A can complete the work = 12×8 = 96 hours

=> Work done by A in 1 hour = 1/96

B can complete the work in 8 days working 10 hours a day

=> Number of hours B can complete the work = 8×10 = 80 hours

=> Work done by B in 1 hour = 1/80

Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480

=> A and B can complete the work in 480/11 hours

A and B works 8 hours a day.

Hence total days to complete the work with A and B working together

= (480/11)/ (8) = 60/11 days

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Filed Under: Time and Work
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4 3420

Q:

The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is:

A) 21 yrs	B) 27 yrs
C) 29 yrs	D) 31 yrs

Answer & Explanation Answer: A) 21 yrs

Explanation:

Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years

Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years

Age of husband = 81 - 60 = 21 years.

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Filed Under: Problems on Ages
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5 3417

Quantitative Aptitude - Arithmetic Ability Questions

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