CAT 2000 — DILR Question 36
Answer the following question based on the information given below.
ABC Ltd. produces widgets for which the demand is unlimited and they can sell all of their production. The graph below describes the monthly variable costs incurred by the company as a function of the quantity produced. In addition, operating the plant for one shift results in a fixed monthly cost of Rs. 800. Fixed monthly costs for second shift operation are estimated at Rs. 1200. Each shift operation provides capacity for producing 30 widgets per month.
Note : Average unit cost, AC = Total monthly costs/monthly production, and
Marginal cost, MC is the rate of change in total cost for unit change in quantity produced.
Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.
For any two real numbers
a ⊕ b = 1 if both a and b are positive or both a and b are negative.
= –1 if one of the two numbers a and b is positive and the other negative.
What is (2 ⊕ 0) ⊕ (–5 ⊕ –6)?
- a ⊕ b is zero if a is zero.
- a ⊕ b = b ⊕ a
Answer & solution
- A
1
- B
2
3
- D
4
(2 ⊕ 0) ⊕ (–5 ⊕ –6)
= (2 ⊕ 0) ⊕ 1
From statement A
(0 ⊕ 2) = 0 but we don’t know the value of (2 ⊕ 0).
∴ Statement A alone is not sufficient to answer the question.
From statement B
(2 ⊕ 0) = (0 ⊕ 2)
∴ Statement B alone is not sufficient to answer the question.
After combining both the statements, we get,
(2 ⊕ 0) = (0 ⊕ 2) = 0
∴ (2 ⊕ 0) ⊕ (–5 ⊕ –6)
= (2 ⊕ 0) ⊕ 1
= 0 ⊕ 1
= 0
∴ Both the statements are required to answer the question.
Hence, option (c).