Question Detail
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
1. 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
2. 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}
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 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. 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