Question

The total capacity of production of two types of bikes in a factory is 25000 units. Using a total of 6000 tones of metal for production of both types of bikes and operating at full capacity, what is the production of type I?
A. 200 kgs of metal is used for Type 1
B. 300 kgs of metal is used for Type II

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. Each statement alone is sufficient
• D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer 1

The correct option is D BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Option (d)

If x are the number of type 1 bikes produced and y the number of type 2 bikes produced, then we can get two simultaneous equations based on the two statements which need to be solved

x+y=25000 and 200x+300y=6000000.