Here the unit’s digit of 3127 is 7 and the index is 173
So, if we divide 173 by 4, the remainder is 1.
∴  The required unit’s digit
= (7)¹ = 7

Correct Option: D

Here the unit’s digit of 3127 is 7 and the index is 173
So, if we divide 173 by 4, the remainder is 1.
∴  The required unit’s digit
= (7)¹ = 7

The given number = (2467)¹⁵³
Here, the unit’s digit in 2467 is 7 that repeats itself after 4 times
Now, we divide index by 4.

Here the remainder is 1.
The unit’s digit in the value of (2467)¹⁵³ will be same as (7)¹ = 7

Correct Option: B

The given number = (2467)¹⁵³
Here, the unit’s digit in 2467 is 7 that repeats itself after 4 times
Now, we divide index by 4.

Here the remainder is 1.
The unit’s digit in the value of (2467)¹⁵³ will be same as (7)¹ = 7

The unit’s digits in 437, 82, 28, 45 and 47 are 7, 2, 8, 5 and 7 respectively.
The product of 7, 2, 8, 5 and 7 = 7 × 2 × 8 × 5 × 7 = 3920
Since the unit’s digit in 3920 is 0, hence, the unit digit of
437 × 82 × 28 × 45 × 47 will also be zero.

Correct Option: A

The unit’s digits in 437, 82, 28, 45 and 47 are 7, 2, 8, 5 and 7 respectively.
The product of 7, 2, 8, 5 and 7 = 7 × 2 × 8 × 5 × 7 = 3920
Since the unit’s digit in 3920 is 0, hence, the unit digit of
437 × 82 × 28 × 45 × 47 will also be zero.

Total number of students
= 100 × 3 + 400 = 700

Correct Option: B

Total number of students
= 100 × 3 + 400 = 700

Such numbers between 99m and 200 = 10
Total numbers = 90

Correct Option: D

Such numbers between 99m and 200 = 10
Total numbers = 90