SSC Selection Post 2022 PYQ — Question 73

SSC Selection Post - Graduation Level - 1 Aug 2022 - Shift 4 • Quantitative Aptitude • Q73

Read the given passage and answer the questions that follow.

From language to cultures - there are annals about India’s diversity writ in bold. At the heart of everything we hold close is our love for food; the aroma from warm hearths wafts in the air, a heady mix of history and meals. So heady, that we often forget that food has a large carbon footprint, and the menace of ever-growing fast-food businesses that contribute the lion’s share to this problem. However, India’s rich traditional and local edible biodiversity, with its focus on home cooked food, presents a ray of hope. Indian members of Relais & Châteaux, in partnership with Slow Food International, hope to bring back our forefathers’ wisdom when it comes to eating, through the Slow Food movement, which started in the 1980s and aims to bring to the fore the connection of plate with people and the planet. Calling for the protection and promotion of traditional techniques associated with regional food cultures is Jaisal Singh, owner of SUJAN group of hotels.

Mahesh and Suresh can complete a work in 16 days and 12 days, respectively. Starting with Mahesh, they work on an alternate basis. How many days will it take to finalise the complete work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e.  1334days13\frac{3}{4} days.

Total work = LCM of 16 and 12 = 48

Efficiency of Mahesh = 48/16 = 3

Efficiency of Suresh = 48/12 = 4

Starting with Mahesh, work done in 2 days = 3 + 4 = 7

Work done in 12 days = 7 × 6 = 42

Work done by Mahesh on the 13th day = 3

Remaining work = 48 - 42 - 3 = 3

Total time required = 13 + (3/4) = 133413\frac{3}{4} days