SSC MTS 2022 PYQ — Question 67

SSC MTS - 26 July 2022 - Shift 2 • Quantitative Aptitude • Q67

In a week, the average temperature of Sunday and Monday is 37.2o C. The average temperature of Tuesday and Wednesday is 39.4o C. Find the temperature on Sunday, if the average temperaturee of Monday, Tuesday and Wednesday is 38.1o C.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 38.9o C

Let, the temperature on Sunday be a, Monday be b, Tuesday be c and Wednesday be d-

Average temperature of Sunday and Monday = 37.2o C

(a+b2)=37.2\left ( \frac{a+b}{2} \right )=37.2

a + b = 74.4

Average temperature of Tuesday and Wednesday = 39.4o C

(c+d2)=39.4\left ( \frac{c+d}{2} \right )=39.4o C

c + d = 78.8 

Average temperature of Monday, Tuesday and Wednesday = 38.1

(b+c+d3)=38.1\left ( \frac{b+c+d}{3} \right )=38.1o C

b + c + d = 114.3

Now,

b + 78.8 = 114.3 

b = 114.3 - 78.8 

b = 35.5 

So,

a + b = 74.4

a + 35.5 = 74.4

a = 74.4 - 35.5

a = 38.9

So,

The temperature on Sunday is 38.9o C.