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Test: Problem Solving- 3 - UPSC MCQ


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15 Questions MCQ Test CSAT Preparation - Test: Problem Solving- 3

Test: Problem Solving- 3 for UPSC 2024 is part of CSAT Preparation preparation. The Test: Problem Solving- 3 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Problem Solving- 3 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Problem Solving- 3 below.
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Test: Problem Solving- 3 - 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? 

Test: Problem Solving- 3 - 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? 

Detailed Solution for Test: Problem Solving- 3 - Question 2

So that gives 5x4x3x2 = 120 possible ways to pair up 5 boys and 5 girls into boy-girl couples. Putting the boys in a fixed row, any permutation of the girls will make a valid pairing. So in total there will be 5!= 120 different ways to arrange boy-girl pairs.

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Test: Problem Solving- 3 - 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? 

Test: Problem Solving- 3 - Question 4

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

Test: Problem Solving- 3 - Question 5

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

Test: Problem Solving- 3 - 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? 

Test: Problem Solving- 3 - 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? 

Test: Problem Solving- 3 - 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? 

Test: Problem Solving- 3 - Question 9

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

Test: Problem Solving- 3 - Question 10

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

Test: Problem Solving- 3 - Question 11

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

Test: Problem Solving- 3 - Question 12

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

Test: Problem Solving- 3 - Question 13

 

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

Test: Problem Solving- 3 - Question 14

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

Test: Problem Solving- 3 - 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? 

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