Question

In a survey of 750 students in a college it was found that 200 like wearing jeans,
295 liked wearing sari and 100 liked to wear both jeans and sari. Find how many
liked to wear neither sari nor jeans.
(a) 355
(b) 455 (c) 255
(d) 155​

Answer 1

Answer:

(a) 355

Step-by-step explanation:

No. of students that like jeans = 200

No. of students that like saree = 295

No. of students like that both jeans and saree = 100

=> No. of students that like ONLY jeans = 200 - 100 = 100

&   No. of students that like ONLY saree = 295 - 100 = 195

No. of students that like jeans or saree or both

= No. of students that like ONLY jeans +

  No. of students that like ONLY saree +

  No. of students that like BOTH

= 100 + 195 + 100 = 395

No. of students that like jeans or saree or both = 395

=> Remaining students like NEITHER jeans nor saree.

=> Students like NEITHER jeans nor saree = Total students - (No. of students that like jeans or saree or both)

=> Students like NEITHER jeans nor saree = 750 - 395 = 355