SSC MTS 2024 PYQ — Question 1

SSC MTS - 17/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q1

The length and the breadth of the floor of a rectangular hall are 98 feet and 70 feet, respectively. If all persons in the hall are allotted equal square spaces as workstations, what will be the area of the largest such workstation that can be allotted to any user, assuming no space in the hall is left unoccupied?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 196 sq. ft.

Length = 98 feet

Breadth = 70 feet

The GCD of 98 and 70

GCD of 98 and 70 = 14

Step 2: Area of largest square workstation = 14 × 14 = 196 sq ft