Relation for Direct Proportion

Q. A mixture of paint is prepared by mixing $1$ part of red pigment with $8$ parts of base. In the following table, find the parts of base that need to be added for the respective parts of red pigment.

\begin{tabular}{|c|c|c|c|c|c|} \hline Parts of red pigment & 1 & 4 & 7 & 12 & 20 \\ \hline Parts of base & 8 & & & & \end{tabular}

Q.

If two people are standing together at one place and the ratio of their heights is 3 : 2, then their shadows will have the same ratio.

1. True

2. False

Q.

A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

1. 14m

2. 14.5 m

3. 17.5 m

4. 17 m

Q.

If 24 kgof rice costs Rs. 400, then how many Kgs of rice can be bought for Rs. 100

1. 6 kg

2. 7 kg

3. 8 kg

4. 1 kg

Q. We have a map with a scale of 1:50000000. How much would 1 cm measure in actual distance?

1. 400 km
2. 200 km
3. 320 km
4. 500 km

Q.

The train covers 20 km in 15 minutes. How much distance will the car cover in 15 minutes if the speed of car is 60% of the speed of the train?

1. 3hrs 45min

2. 4hrs45min

3. 5hrs45min

4. 2hrs45min

Q. The scale of a map is given as 1 : 5, 00, 00, 000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards the north and then 5 cm towards the east. How much total distance have I travelled actually?

1. 2000 km
2. 4500 km
3. 2500 km
4. 500 km

Q.

A pack of 2 kg of sugar contains $8\times {10}^6$ crystals and a sack contains 3 packs of sugar. How many crystals would 12 sacks contain?

1. 3.88×

2. 2.88×

3. 3×

4. 2×

Q.

40 bags of cotton cost ₹ 2, 200. But by exchanging 25 bags to the shopkeeper, we get 30 grams of silver. Find the price of 150 grams of silver by exchanging relevant number of cotton bags.

1. ₹ 6, 875

2. ₹ 6, 675

3. ₹ 6, 575

4. ₹ 6, 975

Q.

If 40 bags of cotton costs ₹ 2, 200, then how much would 25 bags of cotton cost?

1. Rs 3183

2. Rs 3173

3. Rs 2183

4. Rs 2173