MTS 21 21-07-2022 Shift 1


Question 1

A can do a piece of work alone in 15 days, while B complete the same piece of work alone in 12 days. If they work on it
together for 5 days, then the fraction of the work that will be left is:

A किसी कार्य को अकेले 15 दिन मैं कर सकता है, जबकि B उसी कार्य को अकेले 12 दिन मैं कर सकता है। यदि वे एकसाथ उस कार्य
को 5 दिन तक करते हैं, तो शेष बचे कार्य का अंश कितना होगा?


Options

A

B

C

D


Solution:

Correct Answer:

D


A - 15

B - 12 

let Total work 60 (LCM of 12 and 15)

Efficiency of A = 60/15=4 

Efficiency of B = 60/12=5

 

Work done by A and B in 5 days= (5+4)*5=9*5=45

Remaining work = 60-45=15

Ans = 15/60=1/4

 

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