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All questions of Possible Combinations for Class 3 Exam
How many possible combinations of 1 T-shirt and 1 trouser can be formed from 4 T-shirts and 2 trousers?- a)6
- b)16
- c)8
- d)10
Correct answer is option 'C'. Can you explain this answer?
How many possible combinations of 1 T-shirt and 1 trouser can be formed from 4 T-shirts and 2 trousers?
a)
6
b)
16
c)
8
d)
10
 | Pranavi Chauhan answered |
Understanding Combinations
When forming combinations of items, you multiply the number of choices for each item. In this case, you are choosing a T-shirt and a trouser.
Available Choices
- You have 4 T-shirts to choose from.
- You have 2 trousers to choose from.
Calculating Combinations
To find the total combinations of 1 T-shirt and 1 trouser, follow these steps:
- Step 1: Choose a T-shirt. You have 4 options.
- Step 2: Choose a trouser. You have 2 options.
Multiplication of Choices
Now, multiply the number of choices for T-shirts by the number of choices for trousers:
- Total combinations = Number of T-shirts × Number of Trousers
- Total combinations = 4 T-shirts × 2 trousers = 8 combinations.
Conclusion
Thus, the total number of unique combinations of 1 T-shirt and 1 trouser that can be formed from 4 T-shirts and 2 trousers is 8. Therefore, the correct answer is option C: 8.
When forming combinations of items, you multiply the number of choices for each item. In this case, you are choosing a T-shirt and a trouser.
Available Choices
- You have 4 T-shirts to choose from.
- You have 2 trousers to choose from.
Calculating Combinations
To find the total combinations of 1 T-shirt and 1 trouser, follow these steps:
- Step 1: Choose a T-shirt. You have 4 options.
- Step 2: Choose a trouser. You have 2 options.
Multiplication of Choices
Now, multiply the number of choices for T-shirts by the number of choices for trousers:
- Total combinations = Number of T-shirts × Number of Trousers
- Total combinations = 4 T-shirts × 2 trousers = 8 combinations.
Conclusion
Thus, the total number of unique combinations of 1 T-shirt and 1 trouser that can be formed from 4 T-shirts and 2 trousers is 8. Therefore, the correct answer is option C: 8.
If today is Monday, then 4th day after tomorrow will be ____.- a)Saturday
- b)Sunday
- c)Tuesday
- d)Monday
Correct answer is option 'A'. Can you explain this answer?
If today is Monday, then 4th day after tomorrow will be ____.
a)
Saturday
b)
Sunday
c)
Tuesday
d)
Monday
 | Suyash Banerjee answered |
Understanding the Days of the Week
To solve the problem, we need to break it down step by step.
Step 1: Identify Today’s Day
- Today is Monday.
Step 2: Determine Tomorrow’s Day
- If today is Monday, then tomorrow is Tuesday.
Step 3: Identify the Day After Tomorrow
- The day after tomorrow will be Wednesday (Tuesday + 1 day).
Step 4: Calculate the 4th Day After Tomorrow
- Now, we need to find out what day it will be 4 days after Wednesday.
- Count the days:
- 1st day: Thursday
- 2nd day: Friday
- 3rd day: Saturday
- 4th day: Sunday
Final Answer
- Therefore, the 4th day after tomorrow (which is Wednesday) is Sunday.
So, the correct answer is option 'B', not 'A' as initially stated.
Summary
- Today: Monday
- Tomorrow: Tuesday
- Day After Tomorrow: Wednesday
- 4th Day After Tomorrow: Sunday
This logical breakdown clarifies how to determine the day accurately.
To solve the problem, we need to break it down step by step.
Step 1: Identify Today’s Day
- Today is Monday.
Step 2: Determine Tomorrow’s Day
- If today is Monday, then tomorrow is Tuesday.
Step 3: Identify the Day After Tomorrow
- The day after tomorrow will be Wednesday (Tuesday + 1 day).
Step 4: Calculate the 4th Day After Tomorrow
- Now, we need to find out what day it will be 4 days after Wednesday.
- Count the days:
- 1st day: Thursday
- 2nd day: Friday
- 3rd day: Saturday
- 4th day: Sunday
Final Answer
- Therefore, the 4th day after tomorrow (which is Wednesday) is Sunday.
So, the correct answer is option 'B', not 'A' as initially stated.
Summary
- Today: Monday
- Tomorrow: Tuesday
- Day After Tomorrow: Wednesday
- 4th Day After Tomorrow: Sunday
This logical breakdown clarifies how to determine the day accurately.
Seven girls met and they greeted each other with a "Hello". How many times was the word "Hello" said? 
- a)16
- b)14
- c)21
- d)20
Correct answer is option 'C'. Can you explain this answer?
Seven girls met and they greeted each other with a "Hello". How many times was the word "Hello" said?
a)
16
b)
14
c)
21
d)
20
| | Riya Singh answered |
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.
Each letter in the figure is connected to another by a straight line. In how many different ways can you form the word SPICE?
- a)3
- b)5
- c)4
- d)6
Correct answer is option 'D'. Can you explain this answer?
Each letter in the figure is connected to another by a straight line. In how many different ways can you form the word SPICE?
a)
3
b)
5
c)
4
d)
6
 | Glitz Classes answered |
Possible ways: ABCDE, ABIFE, ABIDE, AHIDE, AHGFE, AHIFE.
Miss Jindal is taking an English test. The time (in mins) taken by each student is given below.
Who will finish the test first and who will be last respectively?- a)Kavita, Komal
- b)Tanu, Kavita
- c)Amit, Zarrin
- d)Priya, Komal
Correct answer is option 'B'. Can you explain this answer?
Miss Jindal is taking an English test. The time (in mins) taken by each student is given below.
Who will finish the test first and who will be last respectively?
a)
Kavita, Komal
b)
Tanu, Kavita
c)
Amit, Zarrin
d)
Priya, Komal
 | Eduskill Classes answered |
(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
How many possible combinations of 1 pencil and 1 rubber cap can be formed from 3 pencils and 4 rubber caps? 
- a)10
- b)12
- c)7
- d)15
Correct answer is option 'B'. Can you explain this answer?
How many possible combinations of 1 pencil and 1 rubber cap can be formed from 3 pencils and 4 rubber caps?
a)
10
b)
12
c)
7
d)
15
| | Glitz Classes answered |
Pencils (p1, p2, p3,) and Rubber caps (c1, c2, c3, c4,) possible combinations:
In the figure, there are ______ possible combinations of 1 boy and 2 girls.
- a)10
- b)12
- c)8
- d)6
Correct answer is option 'B'. Can you explain this answer?
In the figure, there are ______ possible combinations of 1 boy and 2 girls.
a)
10
b)
12
c)
8
d)
6
| | Riya Singh answered |
(i) There are 5 boys and 4 girls.
(ii) We can choose 1 boy in 5 ways and 2 girls in 6 ways.
So, the total combinations = 5 × 6 = 30.
But the correct answer is B. 12.
In how many different ways a lion can return to his home?
- a)6
- b)4
- c)5
- d)3
Correct answer is option 'A'. Can you explain this answer?
In how many different ways a lion can return to his home?
a)
6
b)
4
c)
5
d)
3
| | Glitz Classes answered |
Different possible ways are: ACDF, ACBDF, ACBDEF, ABDF, ABDEF, ACDEF.
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'?
- a)4
- b)5
- c)6
- d)7
Correct answer is option 'C'. Can you explain this answer?
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'?
a)
4
b)
5
c)
6
d)
7
 | Edu Impact answered |
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.
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.
There were 6 children. Each child shook hands once with each other. How many handshakes took place? 
- a)16
- b)14
- c)15
- d)20
Correct answer is option 'C'. Can you explain this answer?
There were 6 children. Each child shook hands once with each other. How many handshakes took place?
a)
16
b)
14
c)
15
d)
20
| | Riya Singh answered |
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.
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.
Thus, the total number of handshakes is 15.
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