6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\tan^{2} θ + c o t^{2} θ = 2$ , then what is the value of $2^{s e c θ \cos e c θ}$ ?

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

Answer & Explanation Answer: D) 4

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1993

Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 429, then what is the difference between the first and the third number?

A) 412	B) 468
C) 517	D) 427

Answer & Explanation Answer: B) 468

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Filed Under: Numbers
Exam Prep: Bank Exams

2 1992

Q:

A car travelling at an average speed of 72 km/hr takes 9 minutes to travel a certain distance. By how much should it increase its speed (in km/hr) to travel the same distance in 8 minutes?

A) 8	B) 9
C) 7	D) 6

Answer & Explanation Answer: B) 9

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Filed Under: Time and Distance
Exam Prep: Bank Exams

1 1992

Q:

Krishna cycled a distance of 90 km at a certain speed. If he cycled 3 km slower every hour, he would have taken 5 more hours to reach his destination. What is the speed in kmph at which Krishna actually cycled?

A) 7.5	B) 18
C) 15	D) 9

Answer & Explanation Answer: D) 9

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Filed Under: Time and Distance
Exam Prep: Bank Exams

4 1991

Q:

What is the length of the side of a regular hexagon, if its area is 54√3 sq cm?

A) 12 cm	B) 9 cm
C) 6 cm	D) 15 cm

Answer & Explanation Answer: C) 6 cm

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Filed Under: Area
Exam Prep: Bank Exams

1 1991

Q:

A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio ofspeed of the car to the train is

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

Answer & Explanation Answer: A) 2:3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

0 1991

Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm	B) 15 cm
C) 20 cm	D) 30 cm

Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1991

Q:

The LCM of two numbers is 66. The numbers are in the ratio 2:3. The sum of the numbers is

A) 60	B) 55
C) 50	D) 65

Quantitative Aptitude - Arithmetic Ability Questions

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