SSC MTS 2024 PYQ — Question 9

SSC MTS - 21/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q9

If the average of 53 consecutive even numbers is 1280. Find the difference between the smallest and the largest number.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 104.

Average = 1280

Count = 53 (odd number, so average is the middle number)

Middle number = 1280

There are 26 numbers before and 26 after

Smallest = 1280 - 26×2 = 1228

Largest = 1280 + 26×2 = 1332

Difference = 1332 - 1228 = 104