Question

The following pie chart embodies the details about the per cent production by seven different companies A‐G with the total production for all companies at 1500 units. 

(A) Companies A & G are producing more than 500 units 
(B) Companies B & F are producing less than 250 units 
(C) Companies C & E account for 705 units 
(D) Companies D & G are producing less than 200 units 
(E) Companies E, F & G account for 545 units 
Choose the correct answer from the options given below:

• A. Only (A) & (B) are true
• B. Only (B) & (C) are true
• C. Only (D) & (E) are true
• D. Only (A) & (E) are true

Answer 1

The Correct Option is B

To solve this question, we will evaluate the production units for each company using the given pie chart percentages and determine the correctness of each statement.

1. Calculate the production units for each company based on the total production of 1500 units:
   • Company A: \(0.16 \times 1500 = 240\) units
   • Company B: \(0.11 \times 1500 = 165\) units
   • Company C: \(0.21 \times 1500 = 315\) units
   • Company D: \(0.09 \times 1500 = 135\) units
   • Company E: \(0.26 \times 1500 = 390\) units
   • Company F: \(0.05 \times 1500 = 75\) units 
   • Company G: \(0.12 \times 1500 = 180\) units
2. Evaluate each statement:
   • (A) Companies A & G are producing more than 500 units: False. A produces 240 units, and G produces 180 units. Their combined production is \(240 + 180 = 420\) units.
   • (B) Companies B & F are producing less than 250 units: True. B produces 165 units, and F produces 75 units. Their combined production is \(165 + 75 = 240\) units.
   • (C) Companies C & E account for 705 units: True. C produces 315 units, and E produces 390 units. Their combined production is \(315 + 390 = 705\) units.
   • (D) Companies D & G are producing less than 200 units: False. D produces 135 units, and G produces 180 units. Their combined production is \(135 + 180 = 315\) units.
   • (E) Companies E, F & G account for 545 units: False. E produces 390 units, F produces 75 units, and G produces 180 units. Their combined production is \(390 + 75 + 180 = 645\) units.

Based on the evaluations above, only statements (B) and (C) are true.