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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. If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate ?
 xd
 yd
 yd/x
 x/yd
Answer: Option C
3. 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.
4. If the price of 23 toys is 276, then what will the price of 12 toys ?
 144
 148
 156
 186
Answer: Option A
Explanation:
Less toys, Less Price (Direct Proportion)
So, let the price be Rs. x
then,
\begin{aligned}
23:12 :: 276:x
=> x = \frac{276*12}{23} \\
=> x = 144
\end{aligned}
So price of 12 toys will be Rs. 144
5. 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
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