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Question Detail
A flagstaff 17.5 metre high casts a shadow of length 40.25 metre. The height of building, which casts a shadow of length 28.75 metre under similar conditions will be :
 12 metre
 12.5 metre
 13.5 metre
 14 metre
Answer: Option B
Explanation:
Less shadow, Less Height (Direct Proportion)
So, let height of building be x metre
then,
\begin{aligned}
40.25 : 17.5 :: 28.75 : x \\
=> x = \frac{17.5*28.75}{40.25} \\
=> x = 12.5
\end{aligned}
So height of building should be 12.5 metre
1. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?
 34 days
 40 days
 46 days
 50 days
Answer: Option B
Explanation:
Less Cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
\begin{aligned}
\begin{bmatrix}Cows & 1 & 40 \\Bags & 40 & 1 \end{bmatrix} :: 40 : x \\
=> x * 40 * 1= 40 * 1 * 40 \\
=> x = 40
\end{aligned}
2. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
 24 days
 28 days
 34 days
 35 days
Answer: Option A
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x
then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
\begin{aligned}
x = \frac{36*18}{27} \\
x = 24
\end{aligned}
So 24 days will be required to get work done by 27 men.
3. If a quarter kg of potato costs 60 paise, how many paise will 200gm cost ?
 45 paise
 46 paise
 47 paise
 48 paise
Answer: Option D
Explanation:
Quarter of Kg means 250 gm
Less weight, less price (Direct Proportion)
So,
\begin{aligned}
250:200 :: 60:x \\
=> x = \frac{200*60}{250} \\
=> x = 48
\end{aligned}
So 200 gm will cost 48 paise.
4. If 16 toys cost 240, then what do 40 toys cost ?
 Rs. 600
 Rs. 620
 Rs. 640
 Rs. 660
Answer: Option C
Explanation:
Although we can first calculate the cost of one toy and then can multiply it with 40 to get the result.
but we will solve it with chain rule so that we can prepare ourself for other complex problems which we can solve easily by applying this rule.
Let the required cost be Rs. x
More toys means More Cost. (Direct Proportion)
\begin{aligned}
15:40 :: 240:x \\
=> x = \frac{240*40}{15} \\
=> x = 640
\end{aligned}
So 40 toys will cost Rs 640
5. 10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?
 4 hours a day
 5 hours a day
 6 hours a day
 7 hours a day
Answer: Option C
Explanation:
More Men, Less Hours {Indirect Proportion}
Less Days, More Hours {Indirect Proportion}
\begin{aligned}
\begin{bmatrix}Men & 15 & 10 \\Days & 12 & 18 \end{bmatrix} :: 6 : x \\
=> x * 15 * 12 = 10 * 18 * 6 \\
=> x = \frac{10*18*6}{15*12} \\
=> x = 6
\end{aligned}
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