Aptitude and Reasoning Questions

Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500 B) 1600
C) 6200 D) 6000
 
Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x. 

Then,  [X * R * T] / [100+(R * T)]  

x×12×34100+12×34 = 540 

x=  Rs.6540  

Amount = Rs. 6540.  

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Filed Under: True Discount

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Q:

The ratio of present ages of X and Y is 4:5. Which of the following can't be the ratio of ages of X and Y, 20 years ago ?

A) 2 : 5 B) 8 : 15
C) 9 : 10 D) 3 : 5
 
Answer & Explanation Answer: C) 9 : 10

Explanation:

The ratio of X and Y ages at present is 4:5. 

Then, the ratio 20 years ago will not be more than the ratio at present.

So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.

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Filed Under: Problems on Ages
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Q:

In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course

A) 32 B) 42
C) 62 D) 92
 
Answer & Explanation Answer: D) 92

Explanation:

P = 2l + 2w

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Filed Under: Area
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Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

A) 6cm B) 5cm
C) 3cm D) 4cm
 
Answer & Explanation Answer: A) 6cm

Explanation:

A=lb

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Filed Under: Area
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Q:

In the following questions, various terms of an alphabet series are given with one or more terms missing as shown by (?). Choose the missing terms out of the given alternatives. BF, CH, ?, HO, LT

A) EK B) DN
C) EL D) EM
 
Answer & Explanation Answer: A) EK

Explanation:

The first letter moves 1, 2, 3, ... steps forward.
The second letter moves 2, 3, 4, ... steps forward

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Filed Under: Number Series

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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph B) 3 kmph
C) 5 kmph D) 4 kmph
 
Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

 

From the given data,

 

 129+x+129-x=3 hrs

3x2 = 27

 

=> x = 3 kmph

 

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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Q:

Vishal, Priyatham, Raghu, Karthik and Veeru are five friends. Vishal is twice as old as priyatham. Raghu is half age of Priyatham. Vishal is half the age of Veeru and Raghu is twice the age of Karthik.

Question:
Who is the youngest ?

A) Veeru B) Karthik
C) Vishal D) Raghu
 
Answer & Explanation Answer: B) Karthik

Explanation:

Let Priyatham's age = x

Then, Vishal's age = 2x; Raghu's age = x/2; Veeru's age = 4x ; Karthik's age = x/4

So, the descending order of ages is :

Veeru > Vishal > Priyatham > Raghu > Karthik

Therefore,  Karthik is the youngest.

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Filed Under: Logical Sequence of Words
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Q:

A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior ?

A) ²²C₁₀ + 1 B) ²²C₉ + ¹⁰C₁
C) ²²C₁₀ D) ²²C₁₀ - 1
 
Answer & Explanation Answer: D) ²²C₁₀ - 1

Explanation:

The total number of ways of forming the group of ten representatives is ²²C₁₀.
The total number of ways of forming the group that consists of no seniors is ¹⁰C₁₀ = 1 way
The required number of ways = ²²C₁₀ - 1

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Filed Under: Permutations and Combinations
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