6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a + b + c = 9, ab + bc + ca = 26, $a^{3} + b^{3} = 91, b^{3} + c^{3} = 72 and c^{3} + a^{3} = 35$ , then what is the value of abc?

A) 48	B) 24
C) 36	D) 42

Answer & Explanation Answer: B) 24

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1863

Q:

A line passing through the origin perpendicularly cuts the line 2x + 3y = 6 at point M. Find M?

A) (6/11, 9/11)	B) (6/7, 9/7)
C) (6/11, -9/11)	D) (-6/7, 9/7)

Answer & Explanation Answer: A) (6/11, 9/11)

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

1 1862

Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 12 – 121	B) 14 – 169
C) 16 – 215	D) 18 – 289

Answer & Explanation Answer: C) 16 – 215

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 1862

Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h	B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h	D) 5 km/h and 2 km/h

Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

7 1862

Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD	B) sinC - sinD
C) cosC - cosD	D) cosC + cosD

Answer & Explanation Answer: B) sinC - sinD

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1862

Q:

The radius of a sphere and hemisphere are same. The ratio of their total surface area is

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

Answer & Explanation Answer: D) 4:3

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

0 1862

Q:

To cover a distance of 333 km in 2 hours by a car, what should be the average speed of the car (in meter/second)?

A) 166.5	B) 46.25
C) 83.25	D) 92.5

Answer & Explanation Answer: B) 46.25

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Filed Under: Time and Distance
Exam Prep: Bank Exams

1 1862

Q:

The mean of marks secured by 50 students in division A of class X is 61, 25 students of division B is 57 and that of 50 students of division C is 55. What will be the mean of marks of the students of three divisions of Class X?

A) 57.1	B) 56.4
C) 59.2	D) 57.8

Quantitative Aptitude - Arithmetic Ability Questions

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