Question

In a class containing 120 students, 65 students drink tea and 84 students drink coffee. It x students drink both tea and coffee, what is the value of x ?
(a) 39 (b) 65 (c) 29 ≤ x ≤ 65 (d) 29 ≤ x ≤ 84

Answer 1

Answer:

Correct option is (c)

Step-by-step explanation:

Explanation :

n(T) = 65,

n(C) = 84,

n(T ∪ C) = 120 and n(T ∩ C)

= x n(T ∪ C)

= n(T) + n(C) - n(T ∩ C)

⇒ 120 ≥ 65 + 84 - x, x ≥ 149 − 120 ≥ 29 and x ≤ n(T)

⇒ x ≤ 65

∴ 29 ≤ x ≤ 65

Answer 2

please recheck your question because to find x we have to add 84 and 65 and the answer will be 149 and then we have to subtract the addition of 65 and 84 from the strength of the students so plz recheck your question