6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The tangent at any point of the circle is _________________ to the radius through the point of contact.

A) parallel	B) intersecting
C) perpendicular	D) equal

Answer & Explanation Answer: C) perpendicular

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 2857

Q:

From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B.

A) 30 Liter	B) 28 Liter
C) 32 Liter	D) 36 Liter

Answer & Explanation Answer: C) 32 Liter

Explanation:

Let initially milk and water in container B is 3x liter and x liter respectively

Now, 3x + (8/9) × 18 – x – (1/9) × 18 = 30

3x + 16 – x – 2 = 30

x = 8

Initial quantity is container B = 8 (3 + 1) = 32 Liter.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT

7 2857

Q:

If there is a total of 104 weekly instalments and a third deposit, find: the total cost of the computer

A) 3932.55	B) 4932
C) 5932	D) 6932

Answer & Explanation Answer: A) 3932.55

Explanation:

Total cost = deposit + loan + interest
= 1231.67 + 2463.33 + 237.55
= $3932.55

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

0 2855

Q:

$[\frac{3 \sqrt{2}}{\sqrt{6} - \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}} - \frac{6}{\sqrt{8} - \sqrt{12}}] = ?$

A) sqtr{3}-sqrt{2}	B) sqtr{3}+sqrt{2}
C) 5sqrt{3}	D) 1

Answer & Explanation Answer: C) 5sqrt{3}

Explanation:

Given Exp = $\frac{3 \sqrt{2}}{\sqrt{6} - \sqrt{3}} \times \frac{\sqrt{6} + \sqrt{3}}{\sqrt{6} + \sqrt{3}} - \frac{4 \sqrt{3}}{\sqrt{6} - \sqrt{2}} \times \frac{\sqrt{6} + \sqrt{2}}{\sqrt{6} + \sqrt{2}} - \frac{6}{2 (\sqrt{2} - \sqrt{3})}$

= $\frac{3 \sqrt{2} (\sqrt{6} + \sqrt{3})}{6 - 3} - \frac{4 \sqrt{3} (\sqrt{6} + \sqrt{2})}{6 - 2} + \frac{3}{(\sqrt{3} - \sqrt{2})} \times \frac{(\sqrt{3} + \sqrt{2})}{(\sqrt{3} + \sqrt{2})}$

= $\sqrt{2} (\sqrt{6} + \sqrt{3}) - \sqrt{3} (\sqrt{6} + \sqrt{2}) + 3 (\sqrt{3} + \sqrt{2})$

= $\sqrt{12} + \sqrt{6} - \sqrt{18} - \sqrt{6} + 3 \sqrt{3} + 3 \sqrt{2}$

= $5 \sqrt{3}$

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Filed Under: Square Roots and Cube Roots

4 2855

Q:

The length and the breadth of rectangular field are in the ratio of 8 : 7. If charges of the painting the boundary of rectangle is at Rs. 10 per meter is Rs. 3000. What is the area of rectangular plot?

A) 5600 sq.m	B) 1400 sq. m
C) 4400 sq.m	D) 3600 sq.m

Answer & Explanation Answer: A) 5600 sq.m

Explanation:

Perimeter of the rectangle is given by 3000/10 = 300 mts

But we know,

The Perimeter of the rectangle = 2(l + b)

Now,

2(8x + 7x) = 300

30x = 300

x = 10

Required, Area of rectangle = 8x x 7x = 56 x 100 = 5600 sq. mts.

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

19 2852

Q:

Calculate the periodic interest rate corresponding to 9.5% compounded monthly

A) 0.7916	B) 0.8916
C) 0.9916	D) 0.6916

Answer & Explanation Answer: A) 0.7916

Explanation:

i=j/m

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

0 2851

Q:

Sharon Stone deposits $500 at the beginning of each 3 months in an account earning 10% compounded quarterly. Determine how much money she has after 25 years

A) 22681.19	B) 23456
C) 44577	D) 25685

Answer & Explanation Answer: A) 22681.19

Explanation:

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

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

0 2849

Q:

30% of a number is 33. What is the number?

A) 120	B) 115
C) 105	D) 110

Quantitative Aptitude - Arithmetic Ability Questions

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