Direct Proportion

Q.

Question 34

A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is___.

Q. If $\frac{a}{b}=\frac{7}{3}$ then find the values of the following ratios.

(i) $\frac{5a+3b}{5a-3b}$ (ii) $\frac{2a^2+3b^2}{2a^2-3b^2}$ (iii) $\frac{a^3-b^3}{b^3}$ (iv) $\frac{7a+9b}{7a-9b}$

Q.

If 11.25m of a uniform iron rod weighs 42.75kg, what will be the weight of 6m of the same rod?

1. 22.8

2. 21.8

3. 23.8

4. 22

Q.

40 bags of cotton cost Rs 2200, but by exchanging 25 bags with the shopkeeper we get 30 grams of silver. Find the price of 150g of silver by exchanging relevant number of cotton bags.

1. ₹ 6675

2. ₹ 6575

3. ₹ 6875

4. ₹ 6975

Q.

Everyday Rohan rides his bicycle as part of his exercise. While travelling at a constant rate, he rides 5 miles in 25 minutes. At this rate , how long would it take Rohan to cycle 10 miles ?

1. 25 minutes

2. 30 minutes

3. 15 minutes

4. 50 minutes

Q. A car travels a distance of 225 km using 25 L of petrol. How much petrol (in L) will be required to cover a distance of 540 L by this car?

Q.

A car travels a distance of 225 km using 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?

1. 41 L

2. 49 L

3. 58 L

4. 60 L

Q. Calculate the constant of proportionality for distance-time pairs and arrange them in ascending order.

1. (12 km, 2 hr) < (20 km, 4 hr) < (21 km, 3 hr) < (4 km, 0.5 hr)
2. (20 km, 4 hr) < (21 km, 3 hr) < (12 km, 2 hr) < (4 km, 0.5 hr)
3. (20 km, 4 hr) < (12 km, 2 hr) < (21 km, 3 hr) < (4 km, 0.5 hr)
4. (20 km, 4 hr) < (12 km, 2 hr) < (4 km, 0.50 hr) < (21 km, 3 hr)

Q. A driver charges ₹40 for a distance of 8 km, then match the following amount with their distance.

1. 16 km
2. 4 km
3. 40 km
4. 32 km

Q.

Which of the following is true in case of direct proportions?

1. As one quantity increases, the other quantity also increases at the same rate.
2. As one quantity increases, the other quantity decreases at the same rate.
3. As one quantity changes, another quantity remains the same.
4. Cannot be used where commodities are used.

Q. Calculate the constant of proportionality for distance-time pairs and arrange them in ascending order.

1. 12 km, 2 hr
2. 21 km, 3 hr
3. 20 km, 4 hr
4. 4 km, 0.5 hr

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. Divide: $4x^5+7x^4+14x^3+3x^2-8x+6$ by $x^2+3x+2$

Q. What is the simplest form of the ratio of 84 to 96?

1. 21:24
2. 28:32
3. 7:8
4. 8:7

Q. Find the third proportional to
$5\frac{1}{4},7$

Q. If 16 men can make 320 art pieces in one day, how many men will be needed to make 960 such art pieces in one day?

1. 48
2. 28
3. 40
4. 50

Q.

Number of oranges	Cost in rupees
2	8
6	$p$
$q$	84

$Findthenumericalvalueofp\text{and}q$.

1. $p=12q=17$
2. $p=24q=20$
3. $p=24q=21$
4. $p=21q=24$