Question

Match the following square numbers with their square roots.

$\begin{array}{cc}\text{Numbers}& \text{Square roots}\\ \text{1.}289& \text{a.}22\\ \text{2.}1225& \text{b.}17\\ \text{3.}196& \text{c.}35\\ \text{4.}484& \text{d.}14\end{array}$

• A. $1-b2-c3-a4-d$
• B. $1-b2-c3-d4-a$
• C. $1-c2-b3-d4-a$
• D. $1-b2-d3-c4-a$

Answer 1

The correct option is B $1-b2-c3-d4-a$

Given numbers are $289,1225,196$ and $484$.

This can be solved without actually calculating the square roots.
Arranging the given numbers in ascending order, we get
$196<289<484<1225$

As we know, if squares of numbers are in ascending order then their square roots will also be in ascending order.

Arranging the square roots in ascending order, we get
$14<17<22<35$

Also we have, $289={17}^2,1225={35}^2,196={14}^2,484={22}^2$

Hence, $1-b,2-c,3-d,4-a$ is the correct answer.