Question

There were 80 people on a trip organised by a school, out of which 60 were students, 14 were teachers and 6 (all males) were peons. Out of the total number of people, 16 were females including one female teacher. Raj, a student representative, tried to recreate this into a table. However, he is missing information in cells x,y and z on the table.

$\begin{array}{cccc}\text{Tourists}& \text{Male}& \text{Female}& \text{Total}\\ \text{Students}& \text{X}& 15& 60\\ \text{Teachers}& 13& 1& 14\\ \text{Peons}& 6& \text{Y}& 6\\ \text{Total}& \text{Z}& 16& 80\end{array}$

Complete the table for Raj.

• A. X = 48; Y = 0; Z = 63
• B. X = 45; Y = 1; Z = 64
• C. X = 45; Y = 0; Z = 64
• D. X = 43; Y = 2; Z = 60

Answer 1

The correct option is C

X = 45; Y = 0; Z = 64

$\begin{array}{cccc}\text{Tourists}& \text{Male}& \text{Female}& \text{Total}\\ \text{Students}& \text{X}& 15& 60\\ \text{Teachers}& 13& 1& 14\\ \text{Peons}& 6& \text{Y}& 6\\ \text{Total}& Z& 16& 80\end{array}$

From the given table,

X + 15 = 60
X = 60-15
X = 45

6 + Y = 6
Y = 0

Z + 16 = 80
Z = 80 - 16
Z = 64