Introduction to Unitary Method

Q.

A truck requires 108 liters of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

1. 100 liters

2. 200 liters

3. 300 liters

4. 80 liters

Q.

Question 83

The quarterly school fee in Kendriya Vidyalaya for Class VI is Rs. 540. What will be the fee for seven months?

Q.

A water pump takes $6hours$ to fill an overhead tank. The standby pump takes $10hours$ to fill the same tank. If the first pump fails after $2hours$ then how long will the standby pump take to fill the rest?

Q.

A car uses a litre of petrol to cover a distance of $15km$. How many litres of petrol will be required by the car to travel the distance of $450km$?

Q. If four bags of cement are needed to make 1 cubic metre of concrete, then bags are needed to make 5 cubic metres of concrete.

1. 25
2. 20
3. 30

Q. The income of a man A is twice the income of B. The income of B is thrice of that of C. Given that the sum of income of A, B and C is ₹72000, find the income of A, B and C? [4 MARKS]

Q.

If 60 men can do a piece of work in 36 days, in how many days will 48 men complete the same work?

1. 45

2. 50

3. 48

4. 49

Q. If the cost of a dozen apples is ₹ 240, then

1. ₹200
2. ₹120
3. ₹600
4. ₹400

Q.

$76$ persons complete a job in $42days$. In how many days will $56$ persons do the same job?

Q.

If $32men$can finish a piece of work in $25days,$ how many men will be required to finish a task in $20days$?

1. $40$

2. $36$

3. $48$

4. $42$

Q.

In a factory, $3265$ toys are made in a day. How many toys will be made in a month of $25$ working days?

Q.

10 men can reap a field in 20 days. 10 men reaped the field for 10 days and after 10 days 10 more men join them. In how many days will the work be finished?

1. 12 days

2. 25 days

3. 15 days

4. 30 days

Q.

A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find the cost of painting a pole that casts a shadow of 5 m. Painting is done at Rs.5 per cm.

1. Rs.4375

2. Rs.5425

3. Rs.3450

4. None of these

Q. If 10 men can complete a work in 20 days, in how many days can 8 men complete the same work?

1. 20 days
2. 22 days
3. 25 days
4. 28 days

Q.

If a car runs $448$ km on $7$ liters of petrol, how much petrol will be needed for a $160$ km run?

Q.

A batch of bottles was packed in$25$ boxes with $12$ bottles in each box. If the same batch is packed using $20$ bottles in each box, how many boxes would be filled?

Q.

Question 120

What's the Error? A clothing store charges ₹ 1024 for 4 T-shirts. A student says that the unit price is ₹ 25.6 per T-shirt. What is the error? What is the correct unit price?

Q.

(a) A piece of wire $\frac{7}{8}$ metre long broke into two pieces. One piece was $\frac{1}{4}$ metre long. How long is the other piece? [3 MARKS]

(b) Sarita bought $\frac{2}{5}$ meters of ribbon and Lalita $\frac{3}{4}$ metre of ribbon. What is the total length of the ribbon they bought?

(c) Simplify: $8\frac{1}{4}-2\frac{5}{6}$

Q.

If the distance covered by a car in 4 hours is 240 km , then the distance covered by the car in $1\frac{1}{2}$ hour is __________

1. 90

2. 60

3. 45

4. 80

Q.

If the cost of $16$ oranges is ₹$100$, how many oranges can be bought for ₹$143.75$?

1. $18$

2. $21$

3. $23$

4. $15$

Q.

The cost of 12 metres of cloth is ₹516. Calculate the price of cloth per metre.

1. ₹43

2. ₹40

3. ₹41

4. ₹45

Q.

8 workers can load 4320 bricks in 1hour. How many workers are needed if the same amount of bricks have to be loaded in the truck in 40 minutes

Q.

Eight oranges can be bought for ₹ 10.24. How many more oranges can be bought for ₹ 19.20?

1. 300US dollars

2. 222 US dollars

3. 180 US dollars

4. 105 US dollars

Q.

The interest on ₹ 500 is ₹ 25. Calculate the interest on ₹ 750.

1. ₹ 36

2. ₹ 35.5

3. ₹ 39

4. ₹ 37.5

Q.

Ajay earns ₹ 3000 in 10 days. He earns ₹ ___ in 25 days.

Q. Rahul can plant 20 trees in 4 days, if he is asked to plant 90 trees, how many days will he take?

1. 20 days
2. 18 days
3. 19 days
4. 21 days

Q. 32 labourers can finish a piece of work in 84 days. How many labourers will finish the same piece of work in 48 days?​

Q.

If the weight of 12 books is 4.8 kg, then the weight of 15 such books will be ___ kg.

Q.

Bachhu Manjhi earns $₹24000$ in $8$ months. At this rate, in how many months does he earn $₹42000$?

Q.

Irfan deposits $₹10,000$ in a bank for a certain time and gets $₹600$ as interest. If he deposits$₹8,000$ at the same rate of interest for the same time period, then find the interest he will get at the end.