AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Q.

The smallest whole number that is to be multiplied to 2022 to get a perfect square number is:

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

a

2

b

3

c

4

d

6

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Concept- To solve this question, we need to know what a perfect square number is, i.e., A perfect square number is one whose square root will be a whole number or integer,
For example, 16 is a perfect square, and its square root is 4 which is a whole number.
Here, we will adapt the trial-and-error method and add individual terms provided in the options to the number mentioned in the question and then, square root each of them. The number whose square root will be a whole number, we will consider its associated term that was added to our given number to obtain the number as our desired answer.
Given number is 2028.
Considering option 1, we will add 2 to 2022 to get (2022+2)=2024,
And

\sqrt{2024}

=44.988, i.e., not a whole number,
Considering option 2, we will add 3 to 2022 to get (2022+3)=2025,
And

\sqrt{2025}

=45, i.e., a whole number,
Considering option 3, we will add 4 to 2022 to get (2022+4)=2026,
And

\sqrt{2026}

=45.0111, i.e., not a whole number,
And considering option 4, we will add 2 to 2022 to get (2022+6)=2028,
And

\sqrt{2028}

=45.0333, i.e., not a whole number.
That is, we obtain a perfect square number on adding 3 with 2022 .
Hence, the correct answer is option 2.

Watch 3-min video & get full concept clarity

courses

No courses found

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

best study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

gplay

mentor

Download the App

gplay

personalised 1:1 online tutoring