CAT 1993QA Question 31

ProgressionsEasy
Passage / Data

Answer the following questions based on the information given below:

ABC forms an equilateral triangle in which B is 2 km from A. A person starts walking from B in a direction parallel to AC and stops when he reaches a point D directly east of C. He, then, reverses direction and walks till he reaches a point E directly south of C.

Let x < 0.50, 0 < y < 1, z > 1. Given a set of numbers, the middle number, when they are arranged in ascending order, is called the median. So the median of the numbers x, y, and z would be

Answer & solution

  • A

    less than one

  • between 0 and 1

  • C

    greater than 1

  • D

    cannot say

Solution

Since there are two numbers which are less than 1 (viz. x and y), it is obvious that the median will be less than 1. 

Hence, option (c) cannot be the answer. 

Since x < 0.5 and 0 < y < 1, the median will not be less than 0.

Hence, option (b).

CAT 1993 QA Q31: Let x < 0.50, 0 < y < 1, z > 1. Given a set of numbers, the middle number, when they are arranged in ascending — Solution | TheCATExam