The question is about finding the Last two Digits. We need to find out the last two digits of a number which is ultimately the remainder when that number is divided by 100. Dealing with digits and base system of a number is a vital component in CAT Number Systems. A range of CAT questions can be asked based on this simple concept in the CAT Exam.

Question 4: What are the last two digits of the number 7^{45}?

- 07
- 23
- 49
- 43

07

Try upto 40 hours for free

Learn from the best!

Online Batches Available Now!

The last two digits of 7^{1} are 07.

The last two digits of 7^{2} are 49.

The last two digits of 7^{3} are 43.

The last two digits of 7^{4} are 01.

The last two digits of powers of 7 go in a cycle - 07, 49, 43, 01.

So, the last two digits of 7^{45} are 07.

The question is **"What are the last two digits of the number 7 ^{45}?"**

Choice A is the correct answer.

CAT 2021

Enroll at

44,000/-

Online Classroom Batches Starting Now!

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

**Phone:** (91) 44 4505 8484

**Mobile:** (91) 99626 48484

**WhatsApp:** WhatsApp Now

**Email: **prep@2iim.com