6500+ Quantitative Aptitude Questions and Answers With Explanation

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
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5 3530

Q:

The true discount on Rs.1600 due to after a certain of 5% per annum is Rs.160. The time after which it is due is

A) 27months	B) 23months
C) 20months	D) 12months

Answer & Explanation Answer: A) 27months

Explanation:

P.W. = Rs. (1600 - 160) = Rs. 1440
∴ S.I. on Rs.1440 at 5% is Rs. 160.
∴ Time = [100 * 160 / 1440 * 5] = 20/9 years = [20/9 * 12] months = 27 months.

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Filed Under: True Discount

0 3529

Q:

If $x \times y = x + y + \sqrt{x y}$ , the value of 6x24 is:

A) 41	B) 42
C) 43	D) 44

Answer & Explanation Answer: B) 42

Explanation:

$G i v e n x \times y = x + y + \sqrt{x y} H e r e x = 6, y = 24 T h e n, x \times y = 6 + 24 + \sqrt{6 x 24} 6 x 24 = 30 + \sqrt{144} = 30 + 12 = 42 .$

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

7 3527

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 3519

Q:

A retirement benefit of $12,000 is to be paid every 6 months for 25 years at interest rate of 7% compounded semi-annually. Find

(a) the present value to fund the end-of-period retirement benefit.

(b) the end-of-period semi-annual payment needed to accumulate the value in part (a) assuming regular investments for 30 years in an account yielding 8% compounded semi-annually

A) 245678	B) 234689
C) 281468.06	D) 234578

Answer & Explanation Answer: C) 281468.06

Explanation:

R=S[i/(1+i)^n-1]

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

0 3518

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 3516

Q:

If a > b > 0, AB = a - b cm, BC = 2√ab cm, then ∠ABC is

A) 45°	B) 60
C) 90°	D) 120°

Answer & Explanation Answer: C) 90°

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams , AIEEE

16 3514

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 3512

Quantitative Aptitude - Arithmetic Ability Questions

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