union and intersection of sets

[rahul.s]

At Company C, employees who bring lunch each day bring either pasta, a salad, or both. If 10 employees do not bring a lunch each day, how many employees are at the company?

(1) 44 employees bring pasta for lunch each day.
(2) The number of employees who bring a salad each day is equal to the number of employees who bring both a salad and pasta

OA is C, but i opted for E
Source: Knewton

could someone please explain how to solve this one?

[harsh.champ]

At Company C, employees who bring lunch each day bring either pasta, a salad, or both. If 10 employees do not bring a lunch each day, how many employees are at the company?

(1) 44 employees bring pasta for lunch each day.
(2) The number of employees who bring a salad each day is equal to the number of employees who bring both a salad and pasta

OA is C, but i opted for E
Source: Knewton

could someone please explain how to solve this one?

Let total employees be T ,Pasta-P,Salad -S.
T - (P U S) = 10
St 1:-P = 44 Insuff.
St2:- S = (S n P)
Now,(P U S) = P + S - (P n S)
=>(P U S) = P + S - (P n S)
=>(P U S) = P
Insuff.

Considering both together,
T = 10 + 44 = 54

C is the answer.

[sumanr84]

At Company C, employees who bring lunch each day bring either pasta, a salad, or both. If 10 employees do not bring a lunch each day, how many employees are at the company?

(1) 44 employees bring pasta for lunch each day.
(2) The number of employees who bring a salad each day is equal to the number of employees who bring both a salad and pasta

OA is C, but i opted for E
Source: Knewton

could someone please explain how to solve this one?

Let total employees be T ,Pasta-P,Salad -S.
T - (P U S) = 10
St 1:-P = 44 Insuff.
St2:- S = (S n P)
Now,(P U S) = P + S - (P n S)
=>(P U S) = P + S - (P n S)
=>(P U S) = P
Insuff.

Considering both together,
T = 10 + 44 = 54

C is the answer.

Nice step-by-step explanation..

[harsh.champ]

Nice step-by-step explanation..

Anytime suman.