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This mock test of Test: Problem Solving- 3 for UPSC helps you for every UPSC entrance exam.
This contains 15 Multiple Choice Questions for UPSC Test: Problem Solving- 3 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Problem Solving- 3 quiz give you a good mix of easy questions and tough questions. UPSC
students definitely take this Test: Problem Solving- 3 exercise for a better result in the exam. You can find other Test: Problem Solving- 3 extra questions,
long questions & short questions for UPSC on EduRev as well by searching above.

QUESTION: 1

6 students of nursery class are playing a game. They are standing in a circle and have to pass a ball among themselves. How many such passes are possible?

Solution:

QUESTION: 2

There are 5 boys standing in a row and 5 girls are to be paired with them for a group dance competition in a school. In how many ways can the girls be made to stand?

Solution:

QUESTION: 3

In the editorial group’s photograph of a school all the 5 teachers are to be seated in the front row. Four girls are to be in the second row and six boys in the third row. If the principal has a fixed seat in the first row, then how many arrangements are possible?

Solution:

QUESTION: 4

In how many ways can 8 people be seated at a round table?

Solution:

QUESTION: 5

Sunita wants to make a necklace. She has 8 beads. How many different choices does she have?

Solution:

QUESTION: 6

From city A to B there are 3 different roads. From B to C there are 5. From C to D there are 2. Laxman has to go from city A to D attending some work in city B and C on the way and has to come back in the reverse order. In how many ways can he complete his journey if he has to take a different while coming back than he did while going?

Solution:

QUESTION: 7

Neetu has five identical beads each of nine different colours. She wants to make a necklace such that the beads of the same colour always come together. How many different arrangements can she have?

Solution:

QUESTION: 8

On a chess board one white square is chosen at random. In how many ways can a black square be chosen such that it does not lie in the same row as the white square?

Solution:

QUESTION: 9

How many necklaces can be made using at least 5 from 8 beads of different colours?

Solution:

QUESTION: 10

Find the possible values of n if 30 P(n,6) = P(n+2,7).

Solution:

QUESTION: 11

Using all the prime numbers less than 10 how many four-digit even numbers can be made if repetition is not allowed?

Solution:

QUESTION: 12

There are 15 points in a plane, out of which 6 are collinear. How many pentagons can be drawn with these points?

Solution:

QUESTION: 13

If P(n-1,3):P(n,3) = 1:9, find n.

Solution:

QUESTION: 14

How many four-digit numbers are there with distinct digits?

Solution:

QUESTION: 15

In how many ways can 9 students be seated in a row such that the tallest child and the shortest child never sit together?

Solution:

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