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Olympiad Test: Possible Combinations - Class 3 MCQ


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10 Questions MCQ Test - Olympiad Test: Possible Combinations

Olympiad Test: Possible Combinations for Class 3 2025 is part of Class 3 preparation. The Olympiad Test: Possible Combinations questions and answers have been prepared according to the Class 3 exam syllabus.The Olympiad Test: Possible Combinations MCQs are made for Class 3 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Possible Combinations below.
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Olympiad Test: Possible Combinations - Question 1

Each letter in the figure is connected to another by a straight line. In how many different ways can you form the word SPICE?

Detailed Solution for Olympiad Test: Possible Combinations - Question 1

Possible ways: ABCDE, ABIFE, ABIDE, AHIDE, AHGFE, AHIFE.

Olympiad Test: Possible Combinations - Question 2

In how many different ways a lion can return to his home?

Detailed Solution for Olympiad Test: Possible Combinations - Question 2

Different possible ways are: ACDF, ACBDF, ACBDEF, ABDF, ABDEF, ACDEF.

Olympiad Test: Possible Combinations - Question 3

Seven girls met and they greeted each other with a "Hello". How many times was the word "Hello" said? 

Detailed Solution for Olympiad Test: Possible Combinations - Question 3

When seven girls greet each other, each pair of girls says "Hello" once.
To find how many pairs there are:

  • The first girl greets 6 others.
  • The second girl greets 5 new girls (since she already greeted the first).
  • The third girl greets 4 new girls, and so on.

Adding these:

6 + 5 + 4 + 3 + 2 + 1 = 21

So, the word "Hello" is said 21 times.

Olympiad Test: Possible Combinations - Question 4

How many possible combinations of 1 pencil and 1 rubber cap can be formed from 3 pencils and 4 rubber caps? 

Detailed Solution for Olympiad Test: Possible Combinations - Question 4

To form a combination of 1 pencil and 1 rubber cap, we need to choose one pencil and one rubber cap from the given options.

  • There are 3 pencils, so there are 3 possible choices for the pencil.
  • There are 4 rubber caps, so there are 4 possible choices for the rubber cap.

The total number of possible combinations is the product of the number of choices for the pencil and the number of choices for the rubber cap:

3 × 4 = 12

Thus, the total number of possible combinations is 12.

Olympiad Test: Possible Combinations - Question 5

How many possible combinations of 1 T-shirt and 1 trouser can be formed from 4 T-shirts and 2 trousers?

Detailed Solution for Olympiad Test: Possible Combinations - Question 5

To form a combination of 1 T-shirt and 1 trouser, we need to choose one T-shirt and one trouser from the given options.

  • There are 4 T-shirts, so there are 4 possible choices for the T-shirt.
  • There are 2 trousers, so there are 2 possible choices for the trouser.

The total number of possible combinations is the product of the number of choices for the T-shirt and the number of choices for the trouser:

4 × 2 = 8

Thus, the total number of possible combinations is 8.

Olympiad Test: Possible Combinations - Question 6

Each letter in the figure is connected to another letter by a straight line. In how many different ways can you form the word TIGER'?

Detailed Solution for Olympiad Test: Possible Combinations - Question 6

The word "TIGER" has 5 letters: T, I, G, E, and R. These letters are connected by lines.
To form the word "TIGER," we need to follow the lines from T to I, from I to G, from G to E, and from E to R.
By looking at the lines, there are 6 different ways you can move from one letter to the next to form the word.
So, the answer is 6.

Olympiad Test: Possible Combinations - Question 7

Miss Jindal is taking an English test. The time (in mins) taken by each student is given below.

Q. Who will finish the test first and who will be last respectively?

Detailed Solution for Olympiad Test: Possible Combinations - Question 7

(i) Tanu took 20 minutes, the least time, so she finished first.

(ii) Zarrin took 40 minutes, the most time, so she finished last.

Answer: B. Tanu, Kavita

Olympiad Test: Possible Combinations - Question 8

There were 6 children. Each child shook hands once with each other. How many handshakes took place? 

Detailed Solution for Olympiad Test: Possible Combinations - Question 8

In this problem, each child shakes hands with every other child exactly once. To find the total number of handshakes, we can use the combination formula to calculate the number of ways 2 children can be chosen from 6 children (since each handshake involves 2 children):

The formula for combinations is:

Where n is the number of children, and we want to choose 2 for each handshake.

For 6 children:

Thus, the total number of handshakes is 15.

Olympiad Test: Possible Combinations - Question 9

In the figure, there are ______ possible combinations of 1 boy and 2 girls.

Detailed Solution for Olympiad Test: Possible Combinations - Question 9

We have 4 girls: Sanchi, Manha, Sidak, Sidhi, and 2 boys: Kush, Pranay. The task is to form combinations of 1 boy and 2 girls.

Step 1: Choose 1 boy from the 2 available boys
The number of ways to choose 1 boy from 2 boys is: C(2, 1) = 2

Step 2: Choose 2 girls from the 4 available girls
The number of ways to choose 2 girls from 4 girls is: C(4, 2) = 6

Step 3: Multiply the two results
Total number of combinations = 2 × 6 = 12

Olympiad Test: Possible Combinations - Question 10

If today is Monday, then 4th day after tomorrow will be ____.

Detailed Solution for Olympiad Test: Possible Combinations - Question 10

Let's go step by step, starting from Monday:

  • Today is Monday.
  • Tomorrow will be Tuesday.
  • The first day after tomorrow will be Wednesday.
  • The second day after tomorrow will be Thursday.
  • The third day after tomorrow will be Friday.
  • The fourth day after tomorrow will be Saturday.

Thus, the 4th day after tomorrow will be Saturday.

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