Aptitude and Reasoning Questions

Q:

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

A) 1/3 B) 1/4
C) 2/3 D) 1/2
 
Answer & Explanation Answer: D) 1/2

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

If Cos θ = 15/17 , then what is the value of Cosec θ?

A) 17/8 B) 8/17
C) 8/15 D) 17/15
 
Answer & Explanation Answer: A) 17/8

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The third proportional of two numbers 9 and 15 is

A) 21 B) 30
C) 25 D) 45
 
Answer & Explanation Answer: C) 25

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Filed Under: Ratios and Proportions
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:

If L denotes 'x', M denotes '÷' , P denotes '+' and Q denotes '-'  then 16P24M8Q6M2L3

A) 13/6 B) -1/6
C) 14 1⁄2 D) 10
 
Answer & Explanation Answer: D) 10

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Filed Under: Coding and Decoding
Exam Prep: Bank Exams

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Q:

If Mohan purchase 13 articles for Rs 12 and sells all the articles at the rate of 12 articles for Rs 13, then what will be the profit percentage?

A) 19.47 B) 17.36
C) 11.11 D) 12.5
 
Answer & Explanation Answer: B) 17.36

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Filed Under: Profit and Loss

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Q:

30 women do half of the total work in 30 days. How many more women will be required to complete the remaining work in 10 days?

A) 45 B) 30
C) 60 D) 80
 
Answer & Explanation Answer: C) 60

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

In the following question, select the related word pair from the given alternatives.
Ammeter : Current : : ? : ?

A) Scale : Speed B) Seismograph : Density
C) Barometer : Mass D) Anemometer : Wind
 
Answer & Explanation Answer: D) Anemometer : Wind

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Filed Under: Analogy
Exam Prep: CAT

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