Case Study II

The production of TV sets in a factory increases uniformly by a fixed number every year.
It produced 16000 sets in the 6th year and 22600 in the 9th year.

Based on this information, answer the following questions:

1. The production of the TV sets during the first year was :
   (a) 4000
   (b) 4500
   (c) 5000
   (d) 5500

2. What was the uniform increase in the production of TV sets every year?
   (a) 1800
   (b) 2400
   (c) 1600
   (d) 2200

3. The production of the TV sets during the 8th year was:
   (a) 20000
   (b) 20400
   (c) 21200
   (d) 22800

4. The total production of the TV sets during first 6 years was:
   (a) 56000
   (b) 72000
   (c) 66000
   (d) 63000

5. The average production of the TV sets during first 6 years was:
   (a) 10500
   (b) 11000
   (c) 11500
   (d) 12000

Case Study III

200 logs are stacked in the following manner:
20 logs in the bottom row, 19 in the next row, 18 in the next row and so on.

Based on this information, answer the following questions:

1. In how many rows these 200 logs are placed?
   (a) 25
   (b) 20
   (c) 16
   (d) 14

2. The number of logs in the top row is:
   (a) 1
   (b) 5
   (c) 3
   (d) 8

3. The number of logs in the 8th row from the bottom is:
   (a) 14
   (b) 11
   (c) 12
   (d) 13

4. Total number of logs in the first six rows from the bottom is:
   (a) 105
   (b) 95
   (c) 85
   (d) 75

5. The number of logs in the 5th row from the top is:
   (a) 8
   (b) 9
   (c) 7
   (d) 10

Assertion (A): The 10th term from the end of the A.P. 17, 14, 11, … −40 is −11.

Reason (R): The nth term of an A.P. is given by t_n = a + (n − 1)d.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false