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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. 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.
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 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
4. An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?
- 194 seconds
- 195 seconds
- 196 seconds
- 197 seconds
Answer: Option B
Explanation:
Let the time required by x seconds.
Then, More cloth means More time (Direct Proportion)
So,
\begin{aligned}
0.128 : 1 :: 25 : x
=> x = \frac{25*1}{0.128} \\
=> x = 195.31
\end{aligned}
So time will be approx 195 seconds
5. 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
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