CAT 1991 — QA Question 48

BasicsEasy

Passage / Data

Answer the following questions based on the information given below:

There were a hundred schools in a town. Of these, the number of schools having a play – ground was 30, and these schools had neither a library nor a laboratory. The number of schools having a laboratory alone was twice the number of those having a library only. The number of schools having a laboratory as well as a library was one fourth the number of those having a laboratory alone. The number of schools having either a laboratory or a library or both was 35.

What is the distance between the points A(3, 8) and B(–2, –7)?

Answer & solution

5√2
B
5
C
5√10
D
10√2

Solution

The distance between two points (x₁, y₁) and (x₂, y₂) is given as $\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Hence, required distance = $\sqrt{{(- 2 - 3)}^{2} + {(- 7 - 8)}^{2}}$ = 5√10.

Hence, option (c).

CAT 1991 QA Q48: What is the distance between the points A(3, 8) and B(–2, –7)? — Solution | TheCATExam