6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

A) 360sq metre	B) 380 sq metre
C) 360 metre	D) 400 sq metre

Answer & Explanation Answer: A) 360sq metre

Explanation:

Let the breadth of rectangle be x m.

Then, the length of rectangle = (x+ 6) m

Perimeter of rectangle = 2 (x+x+ 6) m

Therefore, 2 (x+x+ 6) = 84 m

4x+ 12 = 84

4x= 84 –12
4x = 72/4 = 18
Therefore, length of rectangle = 18 + 6 = 24 m = height of triangle

Diagonal of rectangle = √(324+576) = 30 m = base of triangle

Therefore, are of triangle =1/2× base × height =1/2× 24 × 30 = 360 sq. m

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Filed Under: Area
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Q:

What is the value of $\sin^{2} 25 ° + \sin^{2} 65 °$ ?

A) 0	B) 1
C) 2	D) 4

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A dishonest shopkeeper uses a weight of 850 gm instead of 1 kg and sells rice on its cost price. What will be his profit percentage on selling 5 kg rice?

A) 18.24	B) 17.65
C) 15	D) 13.04

Answer & Explanation Answer: B) 17.65

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

0 2119

Q:

If a, b and c are positive integers such that $\frac{1}{a + \frac{1}{b + \frac{1}{c + \frac{1}{2}}}} = \frac{16}{23}$ , then what is the mean of a, b and c?

A) 1	B) 2
C) 1.33	D) 2.33

Answer & Explanation Answer: B) 2

Explanation:

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

7 2118

Q:

After deducting 60% from a certain number and then deducting 15% from the remainder, 1428 is left. What was the initial number?

A) 4200	B) 3962
C) 4150	D) 4300

Answer & Explanation Answer: A) 4200

Explanation:

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT

2 2118

Q:

10+10(9) =

A) 180	B) 110
C) 100	D) 19

Answer & Explanation Answer: C) 100

Explanation:

According to BODMAS Rule,

10 + 10(9)

= 10 + 90

= 100

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 2117

Q:

If a vendor sells a coconut at Rs 24 he makes 20% loss. If he sells at Rs 36 then what is his profit percentage?

A) 10	B) 20
C) 30	D) 40

Answer & Explanation Answer: B) 20

Explanation:

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Exam Prep: Bank Exams

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Q:

To travel 708 km, an Express train takes 6 hours more than Rajdhani train. If however, the speed of the Express train is doubled, it takes 3 hours less than Rajdhani train. What is the speed of Rajdhani train?

A) 59 km/hr	B) 78.7 km/hr
C) 39.3 km/hr	D) 98.3 km/hr

Quantitative Aptitude - Arithmetic Ability Questions

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