Aptitude Chain Rule Test Paper 2

6) A contract is to be finished in 46 days and 117 men involved in it, each working 8 hours per day. After 33 days, 4/7 of the work is finished, how many additional men may be employed so that it may be completed in time, each man now working 9 hours a day?

Answer: C

Explanation:

Remaining work after 33 days Apti Chain Rule

Remaining period = 46-33 = 13 days
Now, we have
Less work, less man (directly proportion)
Less days, more men (inverse proportion)
More hours/days, less man (inverse proportion)

Now, we can say that work Apti Chain Rule

Therefore, days = 13: 33
And, hours/day = 9: 8

Therefore, Apti Chain Rule

Where, x is total number of men after 33 days.

Apti Chain Rule

Therefore, extra men to be employed = 198 - 117 = 81.

7) 24 women or 15 men or 36 boys can finish a piece of work in 12 days, working 8 hours per day, how many men must be associated with 12 women and 6 boys to finish another piece of work Apti Chain Rule times as greater in 30 days working 6 hours a day?

12 men
8 men
15 men
6 men

Answer: B

Explanation:

We have 15 men = 24 women
Or, 12 women = 7.5 men
Also, 36 boys = 15 men
6 boys = 15/6 = 5/2 = 2.5 men
Therefore, 12 women + 6 boys = 7.5 + 2.5 men= 10 men
Now,
The number of day's ratio is 30: 12
The hour's ratio is 6 hours: 8 hours

The work ratio is 1 work: Apti Chain Rule

Now, we can say that Apti Chain Rule

Where x is the total number of men

Apti Chain Rule

Therefore, the total number of men = 18
So, 18-10 = 8 men must be associated.

8) The price of 357 mangoes is Rs 1517.25. Find the approximate price of 49 dozens of such mangoes?

Rs 3000
Rs 3500
Rs 4000
Rs 2500

Answer: D

Explanation:

We know that 1 dozen = 12 piece
49 dozens =49*12 = 588 mangoes
Let x is the price for 588 mangoes.
Now, put the same unit on the same side
Price and mangoes are directly proportional to each other, so
357 mangoes: 588 mangoes = 1517.25: x
Or, x = [1517.25* 588]/ 357 = 2499
Hence, the approximate value, x = Rs. 2500.

9) If 2 kg of almonds cost as much as 8 kg of walnuts, and the cost of 5 kg of almonds and 16 kg of walnuts is Rs 1080, what is the cost of almonds per kg?

Rs 160
Rs 120
Rs 150
None of these.

Answer: B

Explanation:

Let the cost of almond per kg be Rs x, and the cost of walnuts per kg be Rs y.
Now, ATQ, 2x = 8y or x = 4y
Now, 5x+ 16y = 1080
Or, 5x+4x = 1080
Or, x = 120
Therefore, the cost price of almond per kg = Rs. 120

10) If 16 men working 7 hours a day can plow a field in 48 days, in how many days will 14 men working 12 hours a day plow the same field?

Answer: B

Explanation:

Let the one-day work = number of men* total working hours per day
Now, the ratio of total work = (14*12): (16*7)
Now, the ratio of days = 48: x
Where x is the required number of days
Now, one day work is inversely proportional to the number of days:
So, (14*12): (16*7) = 48: x
Or, x = (48*16*7)/ (14*12) = 32
Therefore, 32 days are required to plow the same field.

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