Maths question from Social Forest Worker exam, 2026 by JKSSB
A florist is preparing for a large event and has 200 roses and 180 orchids. She wants to create the maximum possible number of identical bouquets such that every bouquet has the same number of roses and orchids, and no flowers are left over. How many roses will be present in each bouquet?
Last updated Jul 21, 2026
Correct Answer:
Option A —
10
Step 1: Find the maximum number of bouquets
To make the maximum possible number of identical bouquets with no leftover flowers, we need to find the largest number that divides evenly into both two hundred and one hundred eighty.
The numbers that divide evenly into two hundred are one, two, four, five, eight, ten, twenty, twenty-five, forty, fifty, one hundred, and two hundred.
The numbers that divide evenly into one hundred eighty are one, two, three, four, five, six, nine, ten, twelve, fifteen, eighteen, twenty, thirty, forty-five, sixty, ninety, and one hundred eighty.
The largest number present in both lists is twenty.
Therefore, the florist can make a maximum of 20 identical bouquets.
Step 2: Calculate the number of roses per bouquet
The florist has two hundred roses in total.
Dividing two hundred roses equally among twenty bouquets gives 10 roses in each bouquet.
Correct Answer:
A) 10
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
