Question

In which year, was the production of all types of cars taken together approximately equal to the average of the total production during the period 1989-1994?

• A. 1989
• B. 1991
• C. 1993
• D. 1994
• E. 1992
• A. 1989
• B. 1990
• C. 1991
• D. 1992
• J. None of these
• A. A
• B. B
• C. C
• D. D
• O. E
• A. A
• B. B
• C. C
• D. D
• T. E
• A. 15%
• B. 20%
• C. 25%
• D. 30%
• Y. 20%

Answer 1

The Correct Option is C

Step 1: Understand the problem.
We are given the production of cars in a company from 1989 to 1994, and we are asked to find the year in which the total production of all types of cars is approximately equal to the average of the total production during the period 1989-1994.

Step 2: Calculate the total production for each year.
From the table, the total production of cars for each year is:
- 1989: 74
- 1990: 71
- 1991: 75
- 1992: 90
- 1993: 80
- 1994: 86

Step 3: Calculate the total production from 1989 to 1994.
The total production from 1989 to 1994 is the sum of the production values for all the years:
\[ 74 + 71 + 75 + 90 + 80 + 86 = 476 \]

Step 4: Calculate the average production during 1989-1994.
The average production over the 6 years is:
\[ \frac{476}{6} = 79.33 \, \text{(approximately)} \]

Step 5: Compare each year’s total production with the average production.
We are looking for the year when the total production is closest to 79.33.
From the table, we see that in 1993, the total production is 80, which is approximately equal to the average of 79.33.

Step 6: Conclusion.
The year when the total production of all types of cars is approximately equal to the average production during 1989-1994 is 1993.

Final Answer:
The correct option is (C): 1993.

Answer 2

Step 1: Understand the problem.
We are asked to find the year when the total production of cars of types A and B together is equal to the total production of cars of types C and D together.

Step 2: Analyze the production of cars of each type for each year.
From the table, the production for each year is as follows:
- 1989: A = 8, B = 16, C = 21, D = 4
- 1990: A = 20, B = 10, C = 17, D = 6
- 1991: A = 16, B = 14, C = 16, D = 10
- 1992: A = 17, B = 12, C = 15, D = 16
- 1993: A = 21, B = 12, C = 13, D = 20
- 1994: A = 6, B = 14, C = 8, D = 31

Step 3: Calculate the total production of cars of types A and B, and C and D for each year.
- 1989: A + B = 8 + 16 = 24, C + D = 21 + 4 = 25
- 1990: A + B = 20 + 10 = 30, C + D = 17 + 6 = 23
- 1991: A + B = 16 + 14 = 30, C + D = 16 + 10 = 26
- 1992: A + B = 17 + 12 = 29, C + D = 15 + 16 = 31
- 1993: A + B = 21 + 12 = 33, C + D = 13 + 20 = 33
- 1994: A + B = 6 + 14 = 20, C + D = 8 + 31 = 39

Step 4: Find the year when the total production of A and B is equal to the total production of C and D.
From the calculations, we see that in 1993, the total production of cars of types A and B (33) is equal to the total production of cars of types C and D (33).

Step 5: Conclusion.
The year when the total production of cars of types A and B together is equal to the total production of cars of types C and D together is 1993.

Final Answer:
The correct option is (C): 1991.

Answer 3

Step 1: Understand the problem.
We are asked to identify which type of car showed a continuous increase in production during the period 1989-1994.

Step 2: Analyze the production data for each type of car.
From the table, we have the following production values for each type of car from 1989 to 1994:
- Type A: 8, 20, 16, 17, 21, 6
- Type B: 16, 10, 14, 12, 12, 14
- Type C: 21, 17, 16, 15, 13, 8
- Type D: 4, 6, 10, 16, 20, 31
- Type E: 25, 18, 19, 30, 14, 27

Step 3: Check the trend for each type of car.
- Type A: The production of Type A does not show a continuous increase. It decreases in 1991, 1992, and 1994.
- Type B: The production of Type B does not show a continuous increase. It decreases in 1990 and 1992.
- Type C: The production of Type C does not show a continuous increase. It decreases every year.
- Type D: The production of Type D shows a continuous increase every year from 1989 to 1994.
- Type E: The production of Type E does not show a continuous increase. It decreases in 1991, 1993, and increases again in 1994.

Step 4: Conclusion.
Type D is the only type of car that showed a continuous increase in production during the period 1989-1994.

Final Answer:
The correct option is (D): D.

Answer 4

Step 1: Understand the problem.
We are asked to find the type of car whose production was 25% of the total production of all types in the year 1993.

Step 2: Calculate the total production in 1993.
From the table, the total production in 1993 is:
Total production in 1993 = 80 (from the row labeled 'Total').

Step 3: Find 25% of the total production in 1993.
25% of the total production in 1993 is:
\[ 25\% \times 80 = \frac{25}{100} \times 80 = 20 \] So, the production of the type of car we are looking for is 20 units.

Step 4: Check the production of each type of car in 1993.
From the table:
- A's production in 1993 = 21
- B's production in 1993 = 12
- C's production in 1993 = 13
- D's production in 1993 = 20
- E's production in 1993 = 14

We can see that the production of type D in 1993 is exactly 20, which is 25% of the total production.

Step 5: Conclusion.
The production of type D was 25% of the total production in 1993.

Final Answer:
The correct option is (D): D.

Answer 5

Step 1: Understand the problem.
We need to find the percentage increase in the total production of all types of cars in 1992 compared to 1991.

Step 2: Calculate the total production in 1991 and 1992.
From the table, the total production in 1991 is 75 (from the row labeled 'Total').
The total production in 1992 is 90 (from the row labeled 'Total').

Step 3: Calculate the increase in production.
The increase in production is:
Increase in production = 90 - 75 = 15

Step 4: Calculate the percentage increase.
The percentage increase is given by the formula: \[ \text{Percentage Increase} = \frac{\text{Increase in Production}}{\text{Production in 1991}} \times 100 \] Substituting the values: \[ \text{Percentage Increase} = \frac{15}{75} \times 100 = 20\% \]

Step 5: Conclusion.
The percentage increase in the total production of all types of cars in 1992 compared to 1991 is 20%.

Final Answer:
The correct option is (B): 20%.