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Quantity 1: Average score of Rahul, Manish & Suresh is 63. Rahul’s score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish & Suresh, what is the sum of Manish’s and Suresh’s scores?
Quantity 2: 400 persons working 9 hours per day complete 1/4th of the work in 10 days. The number of additional persons working 8 hours per day, required to complete the remaining work in 20 days?
Quantity 1 ≥ Quantity 2
Quantity 1 = Quantity 2 (or) No relation
Quantity 1 > Quantity 2
Quantity 1 ≤ Quantity 2
Quantity 1 < Quantity 2
Quantity 1:
Let the score of Ajay = x
then, Rahul’s score = x – 15
and, Manish’s score = x – 25
According to the question,
Ajay’s score = 63 + 30 = 93
Hence, Rahul’s score = 93 – 15 = 78
Manish’s score = 93 – 25 = 68
Total marks of Rahul, Manish & Suresh = 63 x 3 = 189
Then, Suresh’s score = 189 – (78 + 68) = 43
The sum of Manish’s and Suresh’s scores = 68 + 43 = 111
Quantity 2:
400 person complete 1/4th of the work in 9×10 hours = 90 hours
= 400 person complete the work in 90 × 4 = 360 hours
=1 person completes the work in 360 × 400 hours
Let the number of persons completing the work in 20 days be x.
Remaining work to be done = 1 – 1/4 = 3/4
x person complete 3/(4 ) th of the work in 8×20 hours = 160 hours
= x person complete the work in 160×4/3 hours
= 1 person completes the work in 160×4/3×x hours
Time taken by 1 person to complete the work in both the cases will be same
So, 360 × 400 = 160×4/3×x
x = 675
So additional people required to complete the remaining work = 675 – 400 = 275
Hence Quantity I < Quantity II
Hence, option 5 is the correct answer.
By: Amit Kumar ProfileResourcesReport error
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