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How quickly can you solve this CSAT practice question without using a calculator?

The practise question is a part of the test that assesses UPSC aspirants’ analytical skills, reasoning ability and aptitude.

Published on: Apr 23, 2024, 07:00:07 IST
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The Union Public Service Commission recently announced that the UPSC CSE prelims exam 2024 will be held on June 16. Ahead of the examination, aspirants are solving mock tests, revising the syllabus and looking at the answer sheets of the previous years’ toppers. As aspirants are prepping for the upcoming exam, a CSAT question has been doing the rounds on social media and may leave you baffled.

Read| Can you solve this aptitude question asked in UPSC CSE Prelims?

Brain Teaser: Can you solve this question just by doing mental calculations? (X/@UPSC_Notes)
Brain Teaser: Can you solve this question just by doing mental calculations? (X/@UPSC_Notes)

The question was posted by UPSC Notes with the caption, “CSAT practice question.”

“If 3 raised to the power 2019 is divided by 10, then what is the remainder?” reads the question, which has four options. These are: (a) 1, (b) 3, (c) 7, and (d) 9.

Take a look at the brain teaser right here:

“Easy. The remainders repeat after every power of 3. That is 3^1 gives 3 3^2 gives 9 Then 7 1 Then 3, 9, 7, 1 and this repeats. So 3^2020 or (3^4)^505 has 1 as remainder. Hence, 3^2019 should have 7 as the remainder because 7 comes before 1 in the pattern,” posted an individual.

Another added, “7 is the correct answer.”

“Last digit of 3^n will be 3,9,7,1,3,9,7,1,3,9,7,1. Do you see a pattern? I bet you do. It is just 3971 repeating over and over again. 3^multiples of 4 will end in 1. 3^2016 will end in 1. 3^2017 will end in 3. 3^2018 will end in 9. 3^2019 will end in 7 (Option C),” expressed a third.

 
ABOUT THE AUTHOR
Arfa Javaid

Arfa Javaid is a journalist working with the Hindustan Times' Delhi team. She covers trending topics, human interest stories, and viral content online.

Discover the latest Trending News, viral videos, social media stories and unusual events from India and around the world. Stay updated with the topics everyone is talking about.
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