Productivity Analysis | MCQs

Explanation

In 1/h hour the student solves q questions

In 1/h*h hours the student will solve q*h questions

That is in 1 hour the student will solve q*h questions.

So in q hours, the student will solve q*q*h questions

So your answer is:-  q²h questions

Sh31-8-2023

Explanation

6 persons working 8 hours a day earn Rs. 8400 per week.

First, let's calculate the total hours worked by 6 persons in a week:

6 persons x 8 hours/day x 7 days/week = 336 hours/week

Now, let's calculate the total amount earned per hour:

Rs. 8400 per week ÷ 336 hours/week = Rs. 25 per hour

Now, let's calculate the total hours worked by 9 persons in a week:

9 persons x 6 hours/day x 7 days/week = 378 hours/week

Finally, let's calculate the total amount earned by 9 persons in a week:

378 hours/week x Rs. 25 per hour = Rs. 9450 per week

So, the correct answer is: Rs. 9450

Explanation

To solve this problem, we can calculate the rate at which the laborers dig the earth:

Rate = 805 cubic meters / (35 laborers × 5 hours)

= 805 / 175

= 4.6 cubic meters per laborer per hour

Now, we can calculate the amount of earth dug by 30 laborers in 6 hours:

Earth dug = 30 laborers × 6 hours × 4.6 cubic meters per laborer per hour

= 30 × 6 × 4.6

= 828 cubic meters

The correct answer is 828m³.

Explanation

To find the answer, we can use the formula: (men1 * hours1) = (men2 * hours2)

(36 * 25) = (15 * x)

x = 60 hours

Explanation

A and B together can complete the work in 3 days, so their combined rate of work is 1/3 per day.

They work together for 2 days, so they complete 2/3 of the work.

B leaves, and A completes the remaining 1/3 of the work in 2 days. This means A's rate of work is 1/6 per day (since A completes 1/3 of the work in 2 days).

Now, we know B's rate of work is the difference between their combined rate and A's rate: (1/3 - 1/6) = 1/6 per day.

Since B can complete the entire work in x days, B's rate of work is also 1/x per day.

Equating the two expressions for B's rate of work, we get: 1/6 = 1/x --> x = 6

So, B alone can complete the work in 6 days.

Explanation

A is 4 times as fast as B, so A's rate of work is 4 times B's rate of work.

Since A finishes the work in 45 days less than B, let's assume B takes x days to finish the work. Then A takes x - 45 days to finish the work.

Since A is 4 times as fast as B, A's rate of work is 4 times B's rate of work. So, A's time to finish the work is 1/4 of B's time.

We can set up an equation based on the above: x - 45 = (1/4)x

Solve for x: x - 45 = (1/4)x --> 4x - 180 = x --> 3x = 180 --> x = 60

So B takes 60 days to finish the work, and A takes 60 - 45 = 15 days to finish the work.

Since A and B work together, their combined rate of work is the sum of their individual rates. Let's find their individual rates.

B's rate = 1/60 (work done per day)

 A's rate = 1/15 (work done per day)

Combined rate = (1/60 + 1/15) = (1/60 + 4/60) = 5/60 = 1/12

So A and B together can complete the work in 12 days.

Explanation

1 hour's work of A = 2.5% (meaning A completes 2.5% of the work in 1 hour)

1 hour's work of B = 1.66% (meaning B completes 1.66% of the work in 1 hour)

Combined work rate of A and B in 1 hour = 2.5% + 1.66% = 4.16%

Time to complete the work = 100%/4.16% = 24 hours (since they work 8 hours a day, this is equivalent to 3 days)

So, A and B together can complete the work in 3 days, working 8 hours a day.

Explanation

Explanation

To solve this problem, calculate the total hours worked by the men:

12 men × 8 hours/day × 10 days = 960 hours

Now, find the number of men needed to complete the work in 5 days, working 12 hours a day:

Let x be the number of men.

x men × 12 hours/day × 5 days = 960 hours

x × 60 = 960

x = 16

Explanation

If it takes 6 people 6 days to do a job, the total amount of work can be considered as 6 people × 6 days = 36 person-days.

For 2 people to do the same amount of work:

Number of days = 36 person-days / 2 people = 18

So, it would take 2 people 18 days to do the job.