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Q:

A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ?

A) 3 times B) 4 times
C) 5 times D) 2 times

Answer:   A) 3 times



Explanation:

Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.
So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other.

So totally they met 3 times in opposite direction.

Subject: Logic
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Related Questions
Q:

Directions:

A string of words is fed into a computing machine. It processes the input and gives an output in the following manner:

Input: Honesty is the best policy.

Step 1: is Honesty the best policy

Step 2: is the Honesty best policy

Step 3: is the best Honesty policy

Step 4: is the best policy Honesty

Output: is the best policy Honesty

Now,

If the input is "A rolling stone gathers no moss", what will be the fifth word in the string after 4 steps?

A) Moss B) No
C) Stone D) A
 
Answer & Explanation Answer: D) A

Explanation:

For the input "A rolling stone gathers no moss", the steps followed are:

Step 1: rolling A stone gathers no moss

Step 2: rolling stone A gathers no moss

Step 3: rolling stone gathers A no moss

Step 4: rolling stone gathers no A moss

 

After 4 steps the fifth word is "A".

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12 4368
Q:

Four persons can cross a bridge in 3,7,13,17 minutes.Only two can cross at a time.Find the minimum time taken by the four to cross the bridge ?

A) 17 minutes B) 20 minutes
C) 34 minutes D) 12 minutes
 
Answer & Explanation Answer: B) 20 minutes

Explanation:

First send 17 and 7. After 7 minutes, 7 is at finish and 17 needs 10 more minutes to complete his travel. now send 13. After 10 minutes 17 reaches finish and 13 needs 3 more minutes to complete. now send 3. both 3 and 13 reach destination at the same time after 3 minutes. hence the time taken is 7+10+3=20 minutes.

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14 8738
Q:

Between two book-ends in your study are displayed your four favourite love story books. If you decide to arrange the four books in every possible combination and moved just one book every minute, how long would it take you ?

A) 54 minutes B) 32 minutes
C) 48 minutes D) 24 minutes
 
Answer & Explanation Answer: C) 48 minutes

Explanation:

Possible arrangements for 4 books are 4x3x2x1 = 24
For making a new arrangement, two books are required to be moved.
One book takes one minute, then for 2 books
So total 24 x 2 = 48 mins.

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4 3334
Q:

A man wears socks of two colours - Black and White. He has altogether 30 black socks and 10 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?

A) 3 B) 4
C) 5 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Given there are 2 coloured socks, which is black and White
Let suppose 3 is choosen at random
then three conditions arises
1. all are black
2.all are white
3. either it will have 2 black and 1 white or it will have 2 white and 1 black
so in all the conditions as above mentioned we are getting atleast one pair of socks.

So, he must take out 3 to be sure that he has a matching pair.

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8 5784
Q:

a) In a family of 6 persons, there are two couples. b) The lawyer is the head of the family and has only two sons- Suresh and Rajesh- both teachers. c) Mrs. Veena and her mother-in-law both are lawyers. d) Suresh's wife is a Doctor and they have a son, Ankith.

1) What is the profession of Rajesh's wife ?


2) What is Ankith's grandfather's occupation ?

Answer

Answer: 1) Rajesh's wife is Mrs. Veena and she is a lawyer.


Answer: 2) The family doesn't have Ankith's grandfather.


So, we can't determine.

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5 5695
Q:

M and N have children A and B.
F is spouse of B.
D is child of F.
P is son in law of N.
K is kid of P.

Who is male chiled of M and N ?

A) B B) A
C) None D) Can't be determined
 
Answer & Explanation Answer: A) B

Explanation:

Spouse means a person's partner in marriage, it can be male or female.
But given F is spouse of B
And P is Son in law of N
Relation between F and B
Relation between P and A only
and p is male So, A must be female
=> B is male child.

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14 18790
Q:

One paper is equally folded 35 times, then what is the new thickness of the paper ?

A) T(2^50) B) 50T
C) 2 x 50 T D) T/50
 
Answer & Explanation Answer: A) T(2^50)

Explanation:

Let initial thickness of the paper be 'T'
after first fold it will be '2T' = 21T
after second fold it will be '4T' = 22T 
after 50th fold it will be T x (250T)

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5 3171
Q:

In an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. A student scores 420 marks from 150 question. How many answers were correct ?

A) 145 B) 138
C) 125 D) 120
 
Answer & Explanation Answer: D) 120

Explanation:

let x be the correct answer and y be the wrong answer
so the total number of questions is (x + y) = 150.....(1)
=> 4x - 2y = 420.....(2)
By solving (1) & (2), we get
=> 6x = 720
hence x = 120
Therefore, number of correct answers are 120.

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