chances Search

Q:

In the following question, out of the four alternatives, select the alternative which will improve the bracketed part of the sentence. In case no improvement is needed, select "no improvement".

The bigger a group the less are the chances of an individual (get) the requisite attention when necessary.

A) getting	B) to get
C) got	D) no improvement

Answer & Explanation Answer: A) getting

Explanation:

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Q:

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

Sometimes it appears as if they are deliberately (1)/ limiting their chances of survival in order (2)/ to observe some customary or taboo.(3)/ No error (4)

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

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Q:

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select ‘No Error’.

A business venture or one’s own personal life has greater chances (1)/ of experiencing success and fulfillment, (2)/ if the outlook is more temperate to indifferent or radical. (3)/ No error (4)

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

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Q:

Rearrange the parts of the sentence in correct order.

Today, however, when one in four rural Indians

P-in identifying the poor are far greater
Q-is poor, our chances of being wrong
R-and one in six urban Indians

A) PRQ	B) RQP
C) QRP	D) QPR

Answer & Explanation Answer: B) RQP

Explanation:

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Q:

A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?

A) 1/4	B) 1/2
C) 3/4	D) 7/12

Answer & Explanation Answer: C) 3/4

Explanation:

Let A, B, C be the respective events of solving the problem and $A, B, C$ be the respective events of not solving the problem. Then A, B, C are independent event

$∴ A, B, C$ are independent events

Now, P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

$P (A) = \frac{1}{2}, P (B) = \frac{2}{3}, P (C) = \frac{3}{4}$

$∴$ P( none solves the problem) = P(not A) and (not B) and (not C)

= $P (A \cap B \cap C)$

= $P (A) P (B) P (C)$ $[∵ A, B, C a r e I n d e p e n d e n t]$

= $\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4}$

= $\frac{1}{4}$

Hence, P(the problem will be solved) = 1 - P(none solves the problem)

= $1 - \frac{1}{4}$ = 3/4

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Q:

Puzzle : Identical Balls

There are 8 identical balls. In that one of the ball is overweight. There are only two chances to weigh in the weighing machine. How to find the overweight ball?

Answer

First weigh 3 against 3 balls. If the ball contains among these six balls, then take the three balls which weighed over, and weigh the ball 1 against 1. If the balls are not equal and any one of the ball weighs more, that is the overweight ball, else the one among the three which is not weighed is the ball. If the 3 against 3 balls were equal, then weigh the 2 balls, then the overweight ball will be found.

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Subject: Math Puzzles

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