Quantitative Aptitude - Arithmetic Ability Questions

Q:

A rectangular swimming pool of length 20 m and breadth 10 m has a uniformly sloping floor. It is 1 m in depth on one end of its length and 3 m at the other. How much water is needed to completely fill this pool? (Take π = 22/7)

A) 800 cubic metres B) 300 cubic metres
C) 480 cubic metres D) 400 cubic metres
 
Answer & Explanation Answer: D) 400 cubic metres

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

The marked price of an article is Rs. 5000. But due to a special festive offer a certain percent of discount is declared. Mr. X availed this oppurtunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of 11 1/9%. The percentage of discount allowed was?

A) 10 B) 10/3
C) 15/2 D) 100/9
 
Answer & Explanation Answer: A) 10

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Exam Prep: Bank Exams

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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

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Q:

Find out the odd word/letters/number/number pair from the given alternatives.

A) 4267 B) 2498
C) 2739 D) 5496
 
Answer & Explanation Answer: B) 2498

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

If Sec θ = 5/3, then what is the value of Cosec θ?

A) 0.8 B) 1.25
C) 4/3 D) 3/4
 
Answer & Explanation Answer: B) 1.25

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Q:

A shop keeper allows 20% discount on the marked price on his articles. Find the marked price of an article for which he charges Rs. 740

A) Rs. 725 B) Rs. 875
C) Rs. 925 D) Rs. 1040
 
Answer & Explanation Answer: C) Rs. 925

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Type 1 workers can do three times the work of Type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 8 Type 2 workers to complete the same task?

A) 16 B) 17
C) 20 D) 18
 
Answer & Explanation Answer: D) 18

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

A) 40/9 B) 20/9
C) 60/7 D) 40/7
 
Answer & Explanation Answer: A) 40/9

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Filed Under: Time and Work
Exam Prep: Bank Exams

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