SSC CHSL 2024 PYQ — Question 63

SSC CHSL - 03 July 2024 - Shift 2 • Quantitative Aptitude • Q63

Find the remainder when 179 × 172 × 173 is divided by 17.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 3.

Divide the individual numbers by 17 and the remainder in each case is operated as sign used. If the resultant number is greater than 17, it will be divided by 17 and this process is repeated till the remainder is less than 17.

According to the given question, dividing 179 × 172 × 173 by 17

⇒ 179×172×17317{179 × 172 × 173} \over 17 

⇒ 9×2×317{9 × 2 × 3} \over 17

⇒ 541754 \over 17

The remainder in this case is 3.

Hence the required answer is 3.