Description

This mock test of Test: Problem Solving- 2 for UPSC helps you for every UPSC entrance exam.
This contains 15 Multiple Choice Questions for UPSC Test: Problem Solving- 2 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Problem Solving- 2 quiz give you a good mix of easy questions and tough questions. UPSC
students definitely take this Test: Problem Solving- 2 exercise for a better result in the exam. You can find other Test: Problem Solving- 2 extra questions,
long questions & short questions for UPSC on EduRev as well by searching above.

QUESTION: 1

Six points lie on a circle. How many quadrilaterals can be drawn joining these points?

Solution:

The number of **quadrilaterals** that **can** be formed is ^{6}C_{4} = (6 x 5 x 4 x 3)/(4 x 3 x 2) = 15.

QUESTION: 2

There are 3 children of a lady. In how many ways is it possible to dress them for a party if the first child likes 3 dresses, second likes 4 and the third likes 5 but the third child has out grown one of them? Each child has a different set of clothes.

Solution:

QUESTION: 3

How many three-digit odd numbers can be formed from the digits 1, 3, 5, 0 and 8?

Solution:

QUESTION: 4

Find the number of words formed by permuting all the letters of the word INDEPENDENCE.

Solution:

QUESTION: 5

There are 12 children in a party. For a game they have to be paired up. How many different pairs can be made for the game?

Solution:

QUESTION: 6

How many different differences can be obtained by taking only 2 numbers at a time from 3, 5,2,10 and 15?

Solution:

QUESTION: 7

In a class test there are 5 questions. One question has been taken from each of the 4 chapters. The first two chapters have 3 questions each and the last two chapters have 6 questions each. The fourth question can be picked from any of the chapters. How many different question papers could have been prepared?

Solution:

QUESTION: 8

ow many five digit numbers can be formed using the digits 0, 2, 3,4and 5, when repetition is allowed such that the number formed is divisible by 2 and 5?

Solution:

QUESTION: 9

In how many ways can five rings be worn in 3 fingers?

Solution:

QUESTION: 10

How many pentagons can be drawn by joining the vertices of a polygon with 10 sides?

Solution:

QUESTION: 11

Find the number of words formed by permuting all the letters of the word INDEPENDENCE such that the E???s do not come together.

Solution:

QUESTION: 12

Ten different letters of an alphabet are given. Words with 6 letters are formed with these alphabets. How many such words can be formed when repetition is not allowed in any word?

Solution:

QUESTION: 13

If P(2n+1,n-1):P(2n-1,n) = 3:5, find n.

Solution:

QUESTION: 14

A polygon has 20 diagonals. How many sides does it have?

Solution:

QUESTION: 15

A box contains 5 red and 4 blue balls. In how many ways can 4 balls be chosen such that there are at most 3 balls of each colour?

Solution:

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