Question 121

The following pie chart lists the details about the per cent production by seven different companies, namely, A, B, C, D, E, F and G. The total production for all companies is 1500 units.

Percentag (%) of Total Production

image

Further, it is known that :
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 & Gare producing less than 200 units ;
E. Companies E, F & G account for 545 units.
Choose the correct answer from the options given below :

Total production of all companies = 1500 units
Production of A - $$\ \frac{\ 16}{100}\times\ 1500$$ = 240 units
Production of B -  $$\ \frac{\ 11}{100}\times\ 1500$$ = 165 units
Production of C -  $$\ \frac{\ 21}{100}\times\ 1500$$ = 315 units
Production of D -  $$\ \frac{\ 9}{100}\times\ 1500$$ = 135 units
Production of E -  $$\ \frac{\ 26}{100}\times\ 1500$$ = 390 units
Production of F -  $$\ \frac{\ 5}{100}\times\ 1500$$ = 75 units
Production of G -  $$\ \frac{\ 12}{100}\times\ 1500$$ = 180 units

Statement A - A+G=240+180=420 units, which is less than 500 units. So, A is false.
Statement B - B+F=165+75=240 units, which is less than 250 units. So, B is true.
Statement C - C+E=315+390=705 units, which is equal to 705 units. So, C is true.
Statement D - D+G=135+180=315 units, which is more than 200 units. So, D is false.
Statement E - E+F+G=390+75+180=645 units, which is greater than 545 units. So, E is false.
Only B and C are true.
Option D is the answer.

Get AI Help

Video Solution

video

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.