Aptitude and Reasoning Questions

Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8 B) 5^8
C) 8P5 D) 8^5
 
Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are 58 ways to distribute the toys.

 

Hence, it is 58 and not 85.

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Filed Under: Permutations and Combinations
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16 19004
Q:

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?

A) 69.5 km/hr B) 70 km/hr
C) 79 km/hr D) 79.2 km/hr
 
Answer & Explanation Answer: D) 79.2 km/hr

Explanation:

Let the length of the train be x metres and its speed by y m/sec.


Then, x/y = 8 => x = 8y


Now, (x+264)/20 = y
8y + 264 = 20y
y = 22.
Speed = 22 m/sec = (22*18/5) km/hr = 79.2 km/hr.

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Filed Under: Problems on Trains

61 19002
Q:

Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

A) 4:6:8 B) 4:7:8
C) 4:8:16 D) 4:9:16
 
Answer & Explanation Answer: D) 4:9:16

Explanation:

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.

Then, 12x : 8y : 6z = 4 : 6 : 8

Now, 12x/8y = 4/6   <=>   9x=4y   <=>   y=9x/4

And, 12x/6z = 4/8   <=>   4x=z     <=>    z=4x

Therefore, x : y: z  =  x : 9x/4: 4x  =  4 : 9 : 16

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Filed Under: Partnership

18 18994
Q:

Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row ?

A) 26 B) 24
C) 25 D) 22
 
Answer & Explanation Answer: C) 25

Explanation:

Number of boys in the row = number of boys uptil P + number of boys between P and Q + number of boys including Q and those behind Q = 14 + 4 + 7 = 25.

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Filed Under: Number, Ranking and Time Sequence Test
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69 18988
Q:

Simple interest on a sum for 9 months at 8% per annum is Rs 270.What is the value (in Rs) of the sum?

 

A) 5200 B) 5400
C) 4500 D) 3600
 
Answer & Explanation Answer: C) 4500

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

8 18986
Q:

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth.  The percentage of decrease in area is:

A) 18% B) 28%
C) 38% D) 48%
 
Answer & Explanation Answer: B) 28%

Explanation:

Let original length = x and original breadth = y.  

Decrease in area = xy - 80100x×90100y = (7/25)xy

 

Decrease % =    (7/25)xy * (1/xy) * 100 = 28%

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Filed Under: Area
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3 18953
Q:

A motor boat takes 12 hours to go downstream and it takes 24 hours to return  the same distance. what is the time taken by  boat in still water?

A) 15 h B) 16 h
C) 8 h D) 20 h
 
Answer & Explanation Answer: B) 16 h

Explanation:

If t1 and t2 are the upstream and down stream times. Then time taken in still water is given by 

2×t1×t2t1+t2=2×12×2436=16h

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Filed Under: Boats and Streams

61 18942
Q:

Select the figure that does not belong in the following series

 

 

A) C B) D
C) B D) A
 
Answer & Explanation Answer: C) B

Explanation:
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Filed Under: Image Analysis
Exam Prep: Bank Exams

0 18940