There are 50 students for a field trip.The teacher thought of dividing the students in groups. Which of the following statements are True?i. The teacher can make groups of 5ii. The teacher can make groups of 10iii. The teacher can make groups of 6iv. The teacher can make groups of 7.a)TTFFb)FFTTc)TFTFd)FTFTCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

**Explanation:**

To determine whether the teacher can make groups of a certain size, we need to check if the total number of students (50) is divisible by that size.

**i. The teacher can make groups of 5:**

To check if the teacher can make groups of 5, we divide the total number of students (50) by 5:

50 ÷ 5 = 10

Since the division is exact (no remainder), the teacher can make groups of 5.

**ii. The teacher can make groups of 10:**

To check if the teacher can make groups of 10, we divide the total number of students (50) by 10:

50 ÷ 10 = 5

Again, the division is exact, so the teacher can make groups of 10.

**iii. The teacher can make groups of 6:**

To check if the teacher can make groups of 6, we divide the total number of students (50) by 6:

50 ÷ 6 = 8 remainder 2

Since there is a remainder of 2, the division is not exact. Therefore, the teacher cannot make groups of 6.

**iv. The teacher can make groups of 7:**

To check if the teacher can make groups of 7, we divide the total number of students (50) by 7:

50 ÷ 7 = 7 remainder 1

Once again, there is a remainder of 1, so the division is not exact. Therefore, the teacher cannot make groups of 7.

Based on our calculations, we can conclude that:

- The teacher can make groups of 5 and 10 (statements i and ii are true).
- The teacher cannot make groups of 6 or 7 (statements iii and iv are false).

Therefore, the correct answer is option A: TTFF.

Answer

I am sorry because I am the teacher can divide the students in 5 groups also by keeping 10 students in one group and the teacher can also make the group of 10 by keeping 5 students in each groups and in the way of the answer A can be the true because the first to statements are true and the last statements are wrong because
teacher can't make the groups of 6 and not the groups of 7 and in this way answer is a

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