Arithmetical Reasoning Questions

Q:

A cow was standing on a bridge, 5m away from the middle of the bridge. A train was coming towards the bridge from the ends nearest to the cow. Seeing this cow ran towards the the train and managed to escape when the train was 2m away from bridge. If it had run in the opposite direction, it would hit by the train 2m before the end of the bridge. What is the lenght of the bridge in meters assuming the speed of the train is 4 times that of cow ?

A) 22 mts B) 28 mts
C) 32 mts D) 34 mts
 
Answer & Explanation Answer: C) 32 mts

Explanation:

let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge.
'x' be speed of cow => '4x' speed of train
Then the total length of the bridge 2b + 10.
(a-2)/4x = b/x
=> a-2 = 4b........(1)
Now if it had run in opposite direction
(a+2b+10-2)/4x = (b+10-2)/x
=> a - 2b = 24......(2)
Solving (1) and (2)
b = 11 ,
Therefore length of the bridge is 2 x 11 + 10 = 32mts.

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Q:

Read the following information and answer the following questions below.

 

Bindu is standing exactly in the middle of a line of girls. Asha is 6th to the left of Bindu and Ritu is 16th to Bindu's right.

 

What should be the minimum number of girls in the line?

 

A) 22 B) 28
C) 33 D) 32
 
Answer & Explanation Answer: C) 33

Explanation:
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Q:

Study the following information carefully and answer the questions given below it.

 

There are 6 persons in a family - three males and three females. Out of these, there are two married couples and two persons who are unmarried. Each one of them likes different colour, viz. Blue, Red, Pink, Green, Yellow and white.

Seema, who likes Red colour, is Anitha's mother-in-law and Anitha is Raja's wife. Dinesh is Rohan's father and he does not like the blue colour or white colour. Bavya likes the yellow colour and is Rohan's sister, who likes Pink colour, Raja does not use White colour.

 

Which of the following colours is liked by Anitha?

A) White B) Yellow
C) Pink D) Green
 
Answer & Explanation Answer: A) White

Explanation:
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Q:

Select the option that represents the number of parallelograms in the given figure.

 

 

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

Explanation:
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Q:

Select the missing number from the given responses?

 

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

Explanation:
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Q:

Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'  ?

A) 4 B) 10
C) 8 D) 5
 
Answer & Explanation Answer: D) 5

Explanation:

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.

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Q:

Consider the following information and answer questions based on it.

 

Six cars S, T, V, W, X and Y are parked in a parking lot, in a random order, from left to right, such that -

 

A. T is parked on the extreme right.

B. V is parked to the immediate right of Y and is one car away from W.

C. X is to the immediate left of T and is three cars away from S.

 

Which of the following statement is true?

 

A) There are two cars between T and V. B) There is one car between X and Y.
C) There are three cars between Y and S. D) There is no car between X and W.
 
Answer & Explanation Answer: B) There is one car between X and Y.

Explanation:
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Q:

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

A) 45 min B) 25 min
C) 30 min D) 36 min
 
Answer & Explanation Answer: C) 30 min

Explanation:

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = 32 persons will get
after 15 =5x3 min ......9x2 + 9 =27 = 33 persons will get news.
.
.
after 5x6 mins ... 36 = 729 persons will get news.

 

Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

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