Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

If \(x^2 \) = 64 and \(y^2 \) = 49, then difference between greatest possible value of (x - y) and least possible value of (x + y) is

A) 0
B) 10
C) 15
D) 30

Correct Answer:




D) 30

Description for Correct answer:
Given: \(x^2\) = 64 then x = \(\pm 8\)

And \(y^2\) = 49 then y = \(\pm 7\)

Largest possible value of (x - y) = 8 - (-7) = 15

Smallest possible value of (x + y) = (-8) + (-7) = -15

So the difference is 15 - (-15) = 15 + 15 = 30

Part of solved Number System questions and answers : >> Aptitude >> Number System

Comments

Similar Questions

1). No square of a number ends with

A). 2,3,7 and 8

B). 3,5,6 and 8

C). 2,5,7 and 9

D). 2,3,7 and 9

2). If \( 4^2 + 5^2 +x^2 = 21^2 \), then the value of x is

A). 9

B). 12

C). 15

D). 20

3). The students of a class donated Rs.2401 Each student donated as many rupees as the number of students in the class, then the number of students in the class is

A). 25

B). 49

C). 81

D). 119

4). The least square number which is exactly divisible by each of these number 6,9,15 and 20 is

A). 400

B). 900

C). 961

D). 1024

5). Value of \( \Large\left[ \left( 24^2 + 7^2 \right)^{1/2} \right] ^3 \) is

A). 625

B). 1025

C). 15625

D). 10245

6). Three numbers are in the ration 1:2:3. If the sum of their cubes is 98784, then the numbers are

A). 7,14,28

B). 14,28,42

C). 6,12,18

D). 12,18,36

7). For what value of x, \( \Large 3^{3x - 5} = \frac{1}{9^x} \)?

A). 1

B). 3

C). 5

D). 9

8). Exponential form of \(\left( \sqrt{\sqrt{a} \times \sqrt{b} } \right)^2 \) is

A). ab

B). \( \left( ab \right)^{1/2} \)

C). \( \left( ab \right)^{1/4} \)

D). \( \left( ab \right)^2 \)

9). The value of \( \Large \left[\left( \frac{p}{q} \right)^{-1} \right] ^{-1}\) is

A). \(\Large \frac{p}{q} \)

B). \(\Large \frac{q}{p} \)

C). \(\Large - \frac{p}{q} \)

D). \(\Large - \frac{q}{p} \)

10). The value of \( \sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}} \) is

A). \( \large 2^{1/2} \)

B). \(\large 2^{1/4} \)

C). \( \large 2^{1/8} \)

D). \(\large 2^{1/16} \)