Quantitative Aptitude - Arithmetic Ability Questions

Q:

A book is sold at three successive discounts of 20%, 20% and 10%. What is the net discount (in percentage)?

A) 42.4 B) 48.6
C) 44.2 D) 40.4
 
Answer & Explanation Answer: A) 42.4

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Filed Under: Percentage
Exam Prep: Bank Exams

3 1862
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:

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

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Filed Under: Simplification
Exam Prep: Bank Exams

1 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:

An isosceles triangle ABC has sides AB = AC. If side BA is produced to D in such a manner that AC=AD. Then what will the measure of the angle BCD?

A) π6 B) π3
C) 2π3 D) π2
 
Answer & Explanation Answer: D) π2

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0 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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0 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
 
Answer & Explanation Answer: D) 57.8

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Filed Under: Average
Exam Prep: Bank Exams

0 1861