6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha’s speed is 8 km/hr whereas Hema’s speed is 10 km/hr. Hema takes 9 minutes less than Radha to reach the school. How far is the school from the locality of Radha and Hema?

A) 5 km	B) 5.5 km
C) 6 km	D) 6.5 km

Answer & Explanation Answer: C) 6 km

Explanation:

Let the distance between be D km

Time taken by radha – Time taken by Hema = 9 mins

So D/8 – D/10 = 9/60 hrs

D = 6km

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Filed Under: Time and Distance
Exam Prep: Bank Exams

7 3624

Q:

A person divided a sum of Rs. 17,200 into three parts and invested at 5%. 6% and 9% per annum simple interest. At the end of two years, he got the same interest on each part of money. What is the money invested at 9%?

A) Rs. 3,200	B) Rs. 4,000
C) Rs. 4,800	D) Rs. 5000

Answer & Explanation Answer: B) Rs. 4,000

Explanation:

Let sum invested @ 5% be P1, @ 6% be P2 then @ 9% =17200-(P1+P2)

So according to question

P1*5*2/100 = P2*6*2/100 or P1 = (6/5) P2

Also P2*6*2/100 = [17200-(P1+P2)]*9*2/100

Or 2 P2 = [17200–(11/5)P2] * 3

Or (2 + 33/5)P2 = 17200 * 3

P2 = 17200 * 3 * 5 / 43 = 6000

So P1 = 6/5 P2 = 7200

So Sum invested @ 9% = 17200–(6000+7200) = Rs 4000

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Filed Under: Simple Interest
Exam Prep: Bank Exams

1 3624

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:2.1

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

i=j/m

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3619

Q:

[15% of 300% of 560] × 2 ÷ 5 =

A) 100	B) 90
C) 85	D) 105

Answer & Explanation Answer: A) 100

Explanation:

[15% of 300% of 560] × 2 ÷ 5

= (15 x 300 x 560 x 2)/100 x 100 x 5

~= 100

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

4 3618

Q:

What is a Common Multiple?

Answer

If the Multiples for two or more numbers which are Common, then those Multiples are said to be Common Multiples.

For Example :

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,...

Multiples of 5 are 5, 10, 15, 20, 25, 30,...

Here common multiples of 3 & 5 upto 30 are 15, 30.

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Subject: HCF and LCM Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

29 3617

Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1	B) 7 : 2
C) 3√3:1	D) 5√3:1

Answer & Explanation Answer: A) 6√3:1

Explanation:

The top view of the given assembly will look like the figure above

Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.

Here side of cube = a

Diameter of Sphere = body diagnol = √3 a

Radius of sphere = √3 a/2 =r1

Height of Cylinder = Height of cone = side of cube = a =h

Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)

Volume of sphere/volume of cone =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

= 6√3:1

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

1 3617

Q:

What least number must be substracted from 627349 so that the remaining number is divisible by 15 ?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

On dividing 627349 by 15, we get remainder = 4.
Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.
Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

5 3615

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is 8.4

A) 1	B) 2
C) 3	D) 4

Quantitative Aptitude - Arithmetic Ability Questions

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