# Basic MCQs of Maths

Hey there! If you’re getting ready for competitive exams like ETEA, NTS, FPSC, PPSC, ATS, or CTS, and you want to improve your math skills. You’re in the right place! This blog post is all about the Basic MCQs of Maths. We’re going to break down the essential concepts, solve some problems, and make sure you’re well-prepared for your online study sessions. Whether you’re a student or a professional, let’s make math a bit easier and get you ready for success in your exams!

In these multiple-choice questions, you’ll find a variety of topics like HCF and LCM MCQs, Percentage MCQs, Discount MCQs, Average MCQs, Time and Distance MCQs, Ratio & Proportion MCQs, Decimal Fraction MCQs, etc. All these Mathematics Multiple Choice Questions are essential for online test preparation.

## Unit 1: Average MCQs

1: The average of four numbers is 40. If three of them are 35, 45, and 55, what is the fourth number?

• a) 50
• b) 55
• c) 60
• d) 65

a) 50

2: The average salary of a group of employees is \$500. If the salary of one employee is \$600, what is the average salary of the rest?

• a) \$400
• b) \$450
• c) \$475
• d) \$480

a) \$400

3: The average weight of three boxes is 15 kg. If two of them weigh 10 kg and 20 kg, what is the weight of the third box?

• a) 10 kg
• b) 15 kg
• c) 20 kg
• d) 25 kg

b) 15 kg

4: The average score of a student in four exams is 85. If the scores are 80, 90, 75, and 88, what will be the fifth score to make the average 88?

• a) 90
• b) 92
• c) 94
• d) 96

c) 94

5: If the average of six numbers is 40, and five of them are 35, 40, 45, 50, and 55, what is the sixth number?

• a) 60
• b) 65
• c) 70
• d) 75

b) 65

6: The average of 10, 15, and 20 is:

• a) 15
• b) 17
• c) 18
• d) 20

a) 15

7: The average age of a family of four is 30 years. If the father is 40 years old, what is the average age of the rest of the family?

• a) 25
• b) 30
• c) 35
• d) 40

a) 25

8: The average temperature of a city for three consecutive days is 28°C. If the temperatures are 25°C, 28°C, and 32°C, what is the temperature on the fourth day to maintain the average?

• a) 28°C
• b) 30°C
• c) 32°C
• d) 34°C

b) 30°C

9: The average of three consecutive odd numbers is 21. What is the largest number?

• a) 19
• b) 21
• c) 23
• d) 25

c) 23

10: The average height of a group of students is 160 cm. If the tallest student, with a height of 180 cm, leaves the group, what is the new average height?

• a) 150 cm
• b) 155 cm
• c) 160 cm
• d) 165 cm

b) 155 cm

## Unit 2: HCF and LCM MCQs

11: The HCF of two numbers is 9, and their LCM is 45. What are the numbers?

• a) 18 and 27
• b) 15 and 30
• c) 12 and 36
• d) 21 and 24

a) 18 and 27

12: The LCM of three consecutive numbers is always:

• a) The largest number
• b) The smallest number
• c) Their average
• d) Their sum

a) The largest number

13: If the LCM of two numbers is 36 and one of the numbers is 12, what is the other number?

• a) 2
• b) 3
• c) 4
• d) 6

d) 6

14: The HCF of 28 and 35 is:

• a) 5
• b) 7
• c) 14
• d) 21

b) 7

15: The LCM of 5, 7, and 9 is:

• a) 35
• b) 45
• c) 63
• d) 105

d) 105

16: A bakery produces cakes in sizes of 15, 20, and 25 slices. What is the smallest number of slices they need to prepare so that each cake size can be served with the same number of slices?

• a) 30
• b) 60
• c) 90
• d) 120

c) 90

17: A teacher wants to distribute pencils to her students in a way that each student receives the same number of pencils. If she has 45 pencils, what is the maximum number of students in the class?

• a) 5
• b) 9
• c) 15
• d) 45

b) 9

18: A farmer has three fields with lengths of 36 meters, 48 meters, and 60 meters. He wants to fence them using the same length of wire for each field. What is the maximum length of the wire he needs?

• a) 12 meters
• b) 24 meters
• c) 36 meters
• d) 48 meters

b) 24 meters

19: A factory produces widgets that come in boxes of 18, 24, and 30. What is the minimum number of widgets the factory can pack in boxes such that each box contains the same number of widgets?

• a) 18
• b) 24
• c) 30
• d) 72

b) 24

20: A gardener wants to plant flowers in rows of equal length. If he has 24 roses, 36 tulips, and 48 lilies, what is the maximum number of flowers he can plant in each row while ensuring that each row has the same type of flower?

• a) 6
• b) 8
• c) 12
• d) 24

a) 6

## Ratio & Proportion MCQs:

21: The ratio of the weights of two objects is 4:5. If the heavier object weighs 60 kg, what is the weight of the lighter object?

• a) 30 kg
• b) 36 kg
• c) 40 kg
• d) 45 kg

b) 36 kg

22: If the ratio of the lengths of two sides of a rectangle is 2:3, and the area is 54 square units, what is the length of the longer side?

• a) 6 units
• b) 9 units
• c) 12 units
• d) 18 units

b) 9 units

23: The ratio of the incomes of Alex and Bob is 5:3. If Alex’s income is \$2000, what is Bob’s income?

• a) \$1000
• b) \$1200
• c) \$1400
• d) \$1500

b) \$1200

24: The salaries of A, B, and C are in the ratio 3:4:5. If A’s salary is \$3000, what is the sum of B and C’s salaries?

• a) \$4000
• b) \$5000
• c) \$6000
• d) \$7000

b) \$5000

25: If the ratio of the radii of two circles is 2:5, what is the ratio of their areas?

• a) 4:25
• b) 1:2
• c) 4:5
• d) 2:5

a) 4:25

26: The sum of two numbers is 45, and their ratio is 3:4. What are the numbers?

• a) 18, 27
• b) 15, 30
• c) 20, 25
• d) 24, 21

b) 15, 30

27: If the ratio of the perimeters of two similar triangles is 3:5, and the smaller triangle has a perimeter of 18 cm, what is the perimeter of the larger triangle?

• a) 24 cm
• b) 30 cm
• c) 36 cm
• d) 45 cm

b) 30 cm

28: If a car travels 180 miles in 3 hours, what is its speed if the ratio of distance to time is 5:2?

• a) 30 mph
• b) 40 mph
• c) 50 mph
• d) 60 mph

c) 50 mph

29: The price of 5 books is \$60. If the price of each book is in the ratio of 2:3, what is the price of the cheaper book?

• a) \$8
• b) \$12
• c) \$15
• d) \$18

a) \$8

30:  If the ratio of the heights of two similar triangles is 2:7, and the height of the smaller triangle is 8 cm, what is the height of the larger triangle?

• a) 14 cm
• b) 16 cm
• c) 21 cm
• d) 28 cm

c) 21 cm

## Time and Distance MCQs

31: A runner completes a marathon of 42 km in 3.5 hours. What is the average speed in km/h?

• a) 10 km/h
• b) 12 km/h
• c) 15 km/h
• d) 20 km/h

c) 15 km/h

32: A train covers a distance of 480 km at a speed of 120 km/h. How long does it take to complete the journey?

• a) 2 hours
• b) 3 hours
• c) 4 hours
• d) 5 hours

c) 4 hours

33: A bus travels at a speed of 45 km/h. How long will it take to cover a distance of 225 km?

• a) 3 hours
• b) 4 hours
• c) 5 hours
• d) 6 hours

c) 5 hours

34: If a car travels at a speed of 60 km/h, how far will it travel in 2 hours?

• a) 60 km
• b) 90 km
• c) 120 km
• d) 150 km

c) 120 km

35: A plane travels 600 km in 3 hours. What is its speed in km/h?

• a) 150 km/h
• b) 200 km/h
• c) 250 km/h
• d) 300 km/h

b) 200 km/h

36: A boat travels 120 km downstream in 6 hours with the current. If the speed of the current is 5 km/h, what is the speed of the boat in still water?

• a) 15 km/h
• b) 20 km/h
• c) 25 km/h
• d) 30 km/h

b) 20 km/h

37:  If a person walks at a speed of 5 km/h, how long will it take to cover 25 km?

• a) 2 hours
• b) 4 hours
• c) 5 hours
• d) 6 hours

c) 5 hours

38: A jogger runs at a speed of 8 km/h. How far will the jogger travel in 1.5 hours?

• a) 6 km
• b) 10 km
• c) 12 km
• d) 15 km

c) 12 km

39: A car covers a distance of 300 km in 4 hours. What is its average speed in m/s?

• a) 18 m/s
• b) 20 m/s
• c) 22.5 m/s
• d) 25 m/s

a) 18 m/s

40: If a train travels at a speed of 80 km/h, how far will it travel in 2.5 hours?

• a) 150 km
• b) 200 km
• c) 250 km
• d) 300 km

c) 200 km

## Logarithms MCQs:

41: If log₃(x) = 2, what is the value of x?

• a) 3
• b) 6
• c) 9
• d) 12

c) 9

42: What is the logarithm base 5 of 125?

• a) 1
• b) 2
• c) 3
• d) 4

c) 3

43: Solve for x: log₅(x) = -2.

• a) 0.04
• b) 0.2
• c) 0.4
• d) 0.8

a) 0.04

44: If log₃(p) = 2 and log₃(q) = 3, what is log₃(pq)?

• a) 5
• b) 6
• c) 9
• d) 10

b) 6

45: Evaluate log₁₀(1000).

• a) 2
• b) 3
• c) 4
• d) 5

c) 3

## Discount MCQs:

46: If a smartphone is originally priced at \$300 and is sold at a 15% discount, how much does a customer pay after the discount?

• a) \$255
• b) \$270
• c) \$285
• d) \$315

a) \$255

47: A jacket is on sale for \$60, marked down from \$80. What is the percentage discount on the jacket?

• a) 20%
• b) 25%
• c) 30%
• d) 40%

a) 20%

48: A TV originally priced at \$500 is sold at a 10% discount. If the sales tax is 8%, what is the total cost after tax?

• a) \$460
• b) \$480
• c) \$520
• d) \$540

c) \$520

49: A store is offering a clearance sale with a 50% discount on all items. If a dress is originally priced at \$120, what is the final price?

• a) \$40
• b) \$60
• c) \$80
• d) \$100

b) \$60

50: A bookstore is offering a “Buy 2, Get 1 Free” deal on books. If each book costs \$10, what is the total cost for 3 books?

• a) \$10
• b) \$20
• c) \$30
• d) \$15

b) \$20

## Conclusion:

These were some Basic MCQs of Maths for your competitive exams, Maths test, Mathematic Quiz, etc. If you need more solved MCQs of Maths. You can find them below.