What least number must be subtracted from 1000 to get a number exactly divisible by 123 select?

Try the new Google Books

Check out the new look and enjoy easier access to your favorite features

Solution:

(i) 402

We know that, if we subtract the remainder from the number, we get a perfect square.

Here, we get the remainder 2. Therefore 2 must be subtracted from 402 to get a perfect square.

\therefore402-2=400

Hence, the square root of 400 is 20.

(ii) 1989

We know that, if we subtract the remainder from the number, we get a perfect square.

Here, we get the remainder 53. Therefore 53must be subtracted from 1989 to get a perfect square.

\therefore1989-53=1936

Hence, the square root of 1936 is 44.

(iii) 3250

We know that, if we subtract the remainder from the number, we get a perfect square.

Here, we get the remainder 1. Therefore 1 must be subtracted from 3250 to get a perfect square.

\therefore3250-1=3249

Hence, the square root of 3249 is 57.

(iv) 825

We know that, if we subtract the remainder from the number, we get a perfect square.

Here, we get remainder 41. Therefore 41 must be subtracted from 825 to get a perfect square.

\therefore825-41=784

Hence, the square root of 784 is 28.

(v) 4000

We know that, if we subtract the remainder from the number, we get a perfect square.

Here, we get the remainder 31. Therefore 31 must be subtracted from 4000 to get a perfect square.

\therefore4000-31=3969

Hence, the square root of 3969 is 63.

India's Super Teachers for all govt. exams Under One Roof

Enroll For Free Now

India’s #1 Learning Platform

Start Complete Exam Preparation

Video Lessons & PDF Notes

Get Started for Free Download App

Trusted by 3,16,82,325+ Students

Which least number should be subtracted from 1000 so that the difference is exactly divisible by 35

Open in App

Distribute the referral code to your friends and ask them to register with Tutorix using this referral code.

Once we get 15 subscriptions with your referral code, we will activate your 1 year subscription absolutely free.

Your subscribed friend will also get 1 month subscription absolutely free.