Number System — Exercise 1(C)

A survey shows that the population of Arunachal Pradesh, Meghalaya and Tripura are 13,82,611, 29,64,007 and 36,71,032 respectively. What is the total population of these three states?

Answer

Given, Population of Arunachal Pradesh = 13,82,611

Population of Meghalaya = 29,64,007

Population of Tripura = 36,71,032

Total population = 13,82,611 + 29,64,007 + 36,71,032

= 80,17,650.

Hence, the total population of these three states = 80,17,650.

The population of Andhra Pradesh and Telangana are 6,30,20,208 and 3,52,86,757 respectively. By how much does the population of Andhra Pradesh exceed that of Telangana?

Answer

Given, Population of Andhra Pradesh = 6,30,20,208

Population of Telangana = 3,52,86,757

Difference between population = 6,30,20,208 - 3,52,86,757

= 2,77,33,451.

Hence, the population of Andhra Pradesh exceeds that of Telangana by 2,77,33,451.

There was a stock of 85,90,865 quintals of wheat in a godown of the Food Corporation of India. Out of this stock, 17,89,564 quintals was sent to Punjab and 23,17,986 quintals was sent to Delhi. How much is the balance stock now?

Answer

Given, Initial stock of wheat in the godown: 85,90,865 quintals

Wheat sent to Punjab: 17,89,564 quintals

Wheat sent to Delhi: 23,17,986 quintals

Total sent = Wheat sent to Punjab + Wheat sent to Delhi

= 17,89,564 + 23,17,986

= 41,07,550 quintals

Balance stock = Initial stock - Total sent

= 85,90,865 - 41,07,550

= 44,83,315 quintals

Hence, the balance stock of wheat is 44,83,315 quintals.

A number exceeds 47,56,908 by 16,34,096. Find the number.

Answer

Given, the initial number = 47,56,908

The amount by which it is exceeded = 16,34,096

The number = 47,56,908 + 16,34,096

= 63,91,004

Hence, the number is 63,91,004.

By how much is 15,69,748 smaller than 20,00,000?

Answer

Given, the larger number = 20,00,000

The smaller number = 15,69,748

Difference = 20,00,000 - 15,69,748

= 4,30,252

Hence, 15,69,748 is smaller than 20,00,000 by 4,30,252.

By how much is 1,43,56,803 larger than 86,78,215?

Answer

Given, the larger number = 1,43,56,803

The smaller number = 86,78,215

Difference = 1,43,56,803 - 86,78,215

= 56,78,588

Hence, 1,43,56,803 is larger than 86,78,215 by 56,78,588.

What number must be subtracted from 23,56,714 to get 8,69,873?

Answer

Let required number be x.

Thus,

23,56,714 - x = 8,69,873

x = 23,56,714 - 8,69,873

x = 14,86,841

Hence, the number that must be subtracted from 23,56,714 to get 8,69,873 is 14,86,841.

What must be added to 46,97,859 to get 63,00,000?

Answer

Given, the larger number = 63,00,000

The smaller number = 46,97,859

Difference = 63,00,000 - 46,97,859

= 16,02,141

Hence, 16,02,141 must be added to 46,97,859 to get 63,00,000.

The sum of two numbers is 60,10,203. If one of the numbers is 48,21,325, find the other.

Answer

Given, sum of two numbers = 60,10,203

One of the numbers = 48,21,325

Other number = 60,10,203 - 48,21,325

= 11,88,878

Hence, the other number is 11,88,878.

A man had ₹1,35,00,000 with him. He gave ₹56,32,560 to his wife, ₹37,84,890 to his son and the balance to his daughter. How much money does the daughter get?

Answer

Given, total amount = ₹1,35,00,000

Amount given to wife = ₹56,32,560

Amount given to son = ₹37,84,890

Amount given to daughter = Total amount - (Amount given to wife and son combined)

= ₹1,35,00,000 - (₹56,32,560 + ₹37,84,890)

= ₹1,35,00,000 - ₹94,17,450

= ₹40,82,550.

Hence, the daughter gets ₹40,82,550.

Swati saves ₹6,750 per month. How much she will save in 12 years?

Answer

Given, Swati's monthly savings = ₹6,750

Time period = 12 years = 12 × 12 months

= 144 months

Total savings = Monthly savings × Total months

= ₹6,750 × 144

= ₹9,72,000

Hence, Swati will save ₹9,72,000 in 12 years.

The cost of a chair is ₹1,586. How much will such 245 chairs cost?

Answer

Given, cost of a chair = ₹1,586

Number of chairs = 245

Total cost = Cost of a chair × Number of chairs

= ₹1,586 × 245

= ₹3,88,570

Hence, cost of 245 chairs = ₹3,88,570.

A factory produces 9,675 screws in a day. How many screws will it produce in an ordinary year?

Answer

Given, number of screws produced in a day = 9,675

Number of days = 1 year = 365 days

Total number of screws = Number of screws produced in a day × Number of days

= 9,675 × 365

= 35,31,375

Hence, total screws produced in a year = 35,31,375.

An aeroplane covers 1,685 km per hour. How much distance will it cover in 58 hours?

Answer

Given,

Speed of aeroplane = 1,685 km per hour

Total hours = 58 hours

By formula, distance = speed × time

= 1,685 × 58

= 97,730 km

Hence, distance covered by the aeroplane = 97,730 km.

A scooter costs ₹46,850. How much will 234 such scooters cost?

Answer

Given, cost of a scooter = ₹46,850

Number of scooters = 234

Total cost = Cost of a scooter × Number of scooters

= ₹46,850 × 234

= ₹1,09,62,900

Hence, the total cost of 234 scooters = ₹1,09,62,900.

How much money was collected from 1,625 students of a school for a charity show, if each student contributed ₹740?

Answer

Given, contribution of each student = ₹740

Number of students = 1,625

Total contribution = Number of students × Contribution of each student

= 1,625 × ₹740

= ₹12,02,500

Hence, total contribution = ₹12,02,500.

If the cost of 65 refrigerators is ₹48,46,400, what is the cost of each refrigerator?

Answer

Given, total cost of refrigerators = ₹48,46,400

Number of refrigerators = 65

Cost of each refrigerator = $\dfrac{\text{total cost of refrigerators}}{\text{number of refrigerators}}$

= $\dfrac{₹48,46,400}{65}$

= ₹74,560

Hence, the cost of each refrigerator = ₹74,560.

If the cost of 35 flats is ₹1,24,94,300, find the cost of each flat.

Answer

Given, total cost of flats = ₹1,24,94,300

Number of flats = 35

Cost of each flat = $\dfrac{\text{total cost of flats}}{\text{number of flats}}$

= $\dfrac{₹1,24,94,300}{35}$

= ₹3,56,980

Hence, the cost of each flat = ₹3,56,980.

The product of two numbers is 17,20,740. If one of the numbers is 1,785, find the other.

Answer

Given, product of two numbers = 17,20,740.

One of the numbers = 1,785

The other number = $\dfrac{\text{product of two numbers}}{\text{one of the numbers}}$

= $\dfrac{17,20,740}{1,785}$

= 964

Hence, the other number = 964.

A car covers 4,320 km in 45 hours. At what speed per hour does the car move?

Answer

Given, total distance = 4,320 km

Total time = 45 hours

By formula, Speed = $\dfrac{\text{Distance}}{\text{Time}}$

= $\dfrac{4,320}{45}$

= 96 km/hr.

Hence, the speed of the car = 96 km/hr.

13 kg 650 g of milk is distributed equally among 21 students. How much milk will each get?

Answer

Given, total amount of milk = 13 kg 650 g = 13 × 1,000 + 650 g = 13,650 g

Total number of students = 21

Milk each student gets = $\dfrac{\text{Total amount of milk}}{\text{Total number of students}}$

= $\dfrac{13,650 g}{21}$

= 650 g

Hence, each student gets 650 g of milk.

A man covers 36 km in 1 hour. Find his speed in metres/sec.

Answer

Given, total distance = 36 km = 36 × 1,000 = 36,000 m

Total time = 1 hour = 1 × 60 × 60 sec = 3600 sec

By formula,

Speed = $\dfrac{\text{Total distance}}{\text{Total time}}$

= $\dfrac{36,000}{3600}$

= 10 m/s.

Hence, speed = 10 m/s.