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Q:

The first indication that a stable nucleus can be broken down was afforded by

A) Rutherford B) Madam Curie
C) Soddy D) Schmidt
 
Answer & Explanation Answer: A) Rutherford

Explanation:
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Filed Under: Chemistry

Q:

Who was the first recipient of a scholarship offered by the Indian Society of Oriental Arts in 1907

Answer

Nandala Bose

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Subject: Indian Culture

Q:

Which is the first talkie film

Answer

The Jazz Singer in 1927

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Subject: Indian Culture

Q:

Which is the first Sanskrit film produced in India

Answer

Adi Sankara

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Subject: Indian Culture

Q:

There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth persons and the third person gets more chocolates than fourth person? 

A) 70 B) 40
C) 72 D) 80
 
Answer & Explanation Answer: A) 70

Explanation:

All the boxes contain distinct number of chocolates.
For each combination of 4 out of 8 boxes, the box with the greatest number has to be given to the first person, the box with the second highest to the second person and so on.

 

The number of ways of giving 4 boxes to the 4 person is: 8C4= 70

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Filed Under: Permutations and Combinations

Q:

A tea expert claims that he can easily find out whether milk or tea leaves were added first to water just by tasting the cup of tea. In order to check this claims 10 cups of tea are prepared, 5 in one way and 5 in other. Find the different possible ways of presenting these 10 cups to the expert.

A) 340 B) 210
C) 290 D) 252
 
Answer & Explanation Answer: D) 252

Explanation:

Since there are 5 cups of each kind,prepared with milk or tea leaves added first,are identical hence,total number of different people ways of presenting the cups to the expert is 10!/(5! x 5!)= 252

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Filed Under: Permutations and Combinations

Q:

First,second and third prizes are to be awarded at an engineering fair in which 13 exhibits have been entered.In how many different ways can the prizes be awarded?

A) 1736 B) 1716
C) 1216 D) 1346
 
Answer & Explanation Answer: B) 1716

Explanation:

13P3= 13!/10! = 1716

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Filed Under: Permutations and Combinations

Q:

Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, from the board, a president, a vice-president, a secretary, and a treasurer if the president and secretary must be first class petty officers and the vice-president and treasurer must be second class petty officers?

A) 1500 B) 1860
C) 1680 D) 1640
 
Answer & Explanation Answer: C) 1680

Explanation:

Since two of the eight first class petty officers are to fill two different offices, we write 8P2=56

 

Then, two of the six second class petty officers are to fill two different offices; thus, we write 6P2 =30

 

The principle of choice holds in this case; therefore, the members have 56 x 30 = 1680 ways to select the required office holders

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Filed Under: Permutations and Combinations