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Quantitative Aptitude > Learn Quantitative Aptitude > What is the remainder when 3^122 is divided by 5?
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What is the remainder when 3^122 is divided by 5?

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When 3^4 is divided by 5, the remainder is 1. 3^122 = 3^120 * 3^2 = (3^4)^30 *9 It means you have to find the remainder of 1^30 *9 which is equal to 9 Hence, the remainder is 4.
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CAT/GMAT/Bank PO/Civil Services Expert

For this type of question, you can use the 'convenient number' method. 13 is the convenient number. When 13 is divided by 7, the remainder is 6. Therefore, when 15 is divided by 7, the remainder is 1. Alternatively, when k+2 is divided by 7, the remainder will be R+2. Therefore, when 8 is divided by...
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For this type of question, you can use the 'convenient number' method. 13 is the convenient number. When 13 is divided by 7, the remainder is 6. Therefore, when 15 is divided by 7, the remainder is 1. Alternatively, when k+2 is divided by 7, the remainder will be R+2. Therefore, when 8 is divided by 7, the remainder is 1. read less
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