Direct Proportions

Q.

one fruit salad recipe requires 1/2 cup of sugar. another recipe for the same fruit salad requires 2 tablespoons of sugar. if 1 tablespoon is equivalent to 1/ 16 Cup how much more sugar does the first recipes require?

Q. A recipe for French toast calls for 3/4 litres of milk.If you want to make only 2/3of the recipe, how much milkshould you use? (Why are we multiplying).

Q.

After traveling a distance of 45km argan found 3/8 distance of his journey was still left. What was the length of his whole journey

Q.

After travelling a distance of 45 km I informed that 3/8 distance of his journey was still left. What was the length of his journey?

Q.

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 15 m high. If the length of the ship is 35 metres, how long is the model ship?

Q.

The scale of a map is given as $1:40000000$. Two cities are $4cm$ apart on the map. Find the actual distance between them on the ground.

Q.

A train is moving at a uniform speed of $80$ km/h. It will cover a distance of _____ in $15$ mins.

1. $20$ km
2. $15$ km
3. $18$ km
4. $17$ km

Q.

28 pumps can empty a reservoir in 18 hrs. In how many hrs can 42 such pumps can do the same work ?

Q. The average age of boys and girls in a class is 18. If the average age of boys in that class is 20 and that of girls is 17, then find the ratio of the number of girls to the number of boys in that class.

1. 5 : 2
2. 2 : 5
3. 1 : 2
4. 2 : 1

Q. Two athletes are running from the same place at the speed of 6 km/hr and 4 km/hr. Find the distance between them after 10 minutes if they move in the same direction.

1. 333.33 m
2. 480 m
3. 320 m
4. 380 m

Q. If a farmer can plough 2 fields in 6 days, then how many fields can he plough in 12 days?

1. 4 fields
2. 6 fields
3. 3 fields
4. 8 fields

Q.

A chocolate weighs $20$g. How many chocolates can be kept in a box of $1$kg.

Q. The difference between increased number by increasing 8% of given number and decreased number by decreasing 7% of the same number is 75. What is the number ?

Q. 1/5 m of a ribbon is needed to make a flower.How many flower can Shruti make from a 5m ribbon?

Q. The distance between the two buildings is 2 km and the height of each building is 200 m. If on the blueprint, the distance is 150 cm, then, what is the height of each building?

1. 15 cm
2. 8 cm
3. 12 cm
4. 10 cm

Q. If the cost of 23 packets of biscuits is ₹115, then what is the cost of 80 packets?

1. ₹420
2. ₹400
3. ₹440
4. ₹380

Q. $\text{If x and y vary directly,}$
$y_1=x_2=5\text{and}{y}_2=y_1+10,\text{then what is the value of}{x}_1?$

Q.

Question 51

If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.

Q. The average age of a class is $15.8$ years. The average age of the boys in the class is $16.4$ years while that of the girls is $15.4$ years. What is the ratio of boys to girls in the class?

1. $1:2$
2. $2:3$
3. $3:4$
4. $3:5$

Q.

Question 01.
Following are the car parking charges near a railway station up to:

$\begin{array}{cc}4hours& Rs.60\\ 8hours& Rs.100\\ 12hours& Rs.140\\ 24hours& Rs.180\end{array}$

Check if the parking charges are in direct proportion to the parking time.

Q.

How many kilos of tea worth rs72 per kg should be mixed with 10 kg of tea worth Rs 90 per kg to prodoce a mixture which will cost 78 per kg???!????

Q.

Question 52

If p and q are in inverse propotion, i.e. pq = k (constant), then (p + 2) and (q - 2) are also in inverse proportion.

Q. While buying commodities from a local shop, the total price is the quantity of commodities.

1. directly related to
2. inversely related to
3. independent of

Q.

Question 12

100 perons had food provision for 24 days. If 20 persons left the place, the provision will last for
(a)30 days
$\left(b\right)\frac{96}{5}days$
(c)120 days
(d)40 days

Q. A man usually rides his bike at a constant speed of 75 km/h. What distance will he cover, if he rides his bike for only 20 mins?

1. 18 km
2. 30 km
3. 20 km
4. 25 km

Q.

Find the missing number.

$$\begin{array}{ccccc}X& 30& 35& & 45\\ Y& 42& 49& 56& 63\end{array}$$

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Q.

One box of chocolates weighs $471.5g.$ Find the weight of half a dozen such boxes in $kg$.

Q.

Question 2

Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
(a) 12 and 5
(b) 15 and 4
(c) 25 and 2.4
(d) 45 and 1.3

Q. A train 220 m long is running at a speed of 36 km/hr. What time will it take to cross a 110 m long tunnel?

1. 44 sec
2. 33 sec
3. None of these
4. 54 sec

Q. A train $280m$ long, running with a speed of 63$km/$ hr will pass a tree in

1. $15sec$
2. $16sec$
3. $18sec$
4. $20sec$