Q 1
Solve: 12x²y + 12xy² =
A. 12xy(x+y)
B. 12xy(x²+y)
C. 12xy(x+y²)
D. None of these
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Mathematics MCQs in topical order.
Basic Mathematics MCQs including percentage, ratio, average, profit loss and arithmetic practice.
1184
Total MCQs
130
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1
Algebra
Q 2
Expand the algebraic formula: a³ + b³ =
A. (a+b)(a²-ab+b²)
B. (a-b)(a²-ab-b²)
C. (a+b)(a²+ab+b²)
D. None of these
Q 3
If x=3, then x^3 = ?
A. 6
B. 9
C. 27
D. 81
Q 4
The sum of two numbers is 10 and their product is 20. What is the sum of their reciprocals?
A. 1/10
B. 1/2
C. 1
D. 2
Q 5
Amy buys 'd' dollars worth of groceries each week and spends one-fourth on fruit. In terms of 'd', how many weeks will it take to spend $100 on fruit?
A. 400/d
B. d/100
C. 25/d
D. d/25
Q 6
In the equation (12x^2 + mx + 23) / (2x + 1) = 6x - 18 + 41 / (2x + 1), what is the value of m?
A. -46
B. -32
C. -30
D. 42
Q 7
For the system 3x + 2y = 7 and 6x + my = 14, what is the value of m for which the system has infinitely many solutions?
A. 1
B. 2
C. 3
D. 4
Q 8
A person's age after 15 years will be four times his age 15 years ago. What is his present age?
A. 20 years
B. 25 years
C. 30 years
D. 40 years
2
Geometry
Q 1
The volume of a cone with a circular base is 216π cm³. If the base radius is 9 cm, find the height of the cone in cm.
A. 5 cm
B. 8 cm
C. 10 cm
D. 12 cm
Q 2
Two perpendicular lines are defined as y = (a/b)x + c and y = (d/e)x + c. If 0 < (a/b) < 1, which of the following must be true?
A. d/e < 1
B. -1 < d/e < 0
C. 0 < 1
D. d/c > 1
Q 3
What is the perimeter of a triangle with vertices at (0, 4), (0, 0), and (3, 0)?
A. 10 units
B. 12 units
C. 15 units
D. 18 units
Q 4
If the circumference of a circle and the perimeter of a square are equal, then the area of the circle is:
A. Equal to the area of the square
B. Greater than the area of the square
C. Less than the area of the square
D. None of these
Q 5
One side of a rectangle is 12 cm long and its diagonal measures 20 cm. Find the area of the rectangle.
A. 152 cm²
B. 172 cm²
C. 192 cm²
D. 202 cm²
Q 6
How many cubes of 1 cm can we cut from a cuboid of the dimensions 10cm x 12cm x 15cm?
A. 180
B. 1800
C. 160
D. 1600
Q 7
From a point 5 cm away from the center of a circle, a tangent of 4 cm is drawn to the circle. What is the radius of the circle?
A. 2 cm
B. 3 cm
C. 4 cm
D. 5 cm
Q 8
Find the curved surface area of a hemisphere with a radius of 7 cm.
A. 154 cm²
B. 308 cm²
C. 616 cm²
D. 77 cm²
3
Percentages
Q 1
If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?
A. 37.5%
B. 40%
C. 60%
D. 62.5%
Q 2
The total distance from school to house is 39 km. Abid covered a distance of 13 km. What percentage of the whole distance has he covered?
A. 31%
B. 29%
C. 33.33%
D. None of these
Q 3
Jane is playing a board game. On her first turn, she loses 18 percent of her cards. On the second turn, she increases her card count by 36 percent. If her final card count is n, what was her starting count in terms of n?
A. n / (1.18)(0.64)
B. (1.18)(0.64)n
C. n / (1.36)(0.82)
D. (0.82)(1.36)n
Q 4
By converting 142.5% into decimal, answer will be:
A. 1.425
B. 0.1425
C. 142.5
D. 14.25
Q 5
If a man's salary is increased by 1/5 and his current pay is 60000, what is the increase in pay?
A. 1000
B. 2000
C. 3000
D. 10,000
Q 6
A person bought an item for Rs. 2500 and sold it for a 15% discount. What was the selling price after the discount?
A. Rs.2025
B. Rs.2125
C. Rs.2250
D. None of these
Q 7
A chemical solution has 8% acid. If the acid is 15 mL, the total volume of the solution is:
A. 180.5ml
B. 187.5ml
C. 179.5ml
D. None of the above
Q 8
1.19 expressed as a percentage of 1.6 is?
A. 6%
B. 4%
C. 60%
D. None of these
4
Arithmetic
Q 1
7.5 million written in numbers is:
A. 75000
B. 750000
C. 7500000
D. None of these
Q 2
√6 × √6 = ?
A. 6√6
B. 6
C. 6×6
D. 6^2
Q 3
Which one of the following is a positive square root of 2209?
A. 37
B. 43
C. 53
D. 47
Q 4
0.005 x 0.2 =
A. 0.1
B. 0.01
C. 0.001
D. None of these
Q 5
If 2494 / 14.5 = 172 then 24.94 / 1.45 = ?
A. 1.72
B. 0.172
C. 17.2
D. None of these
Q 6
Four people live in a house. There are 22 houses in one street. How many people live in a street?
A. 78
B. 88
C. 98
D. None of these
Q 7
What is the result of the following expression: 5 + 51 + (-3) + 7 + (-5.1)?
A. 52.9
B. 53.9
C. 54.9
D. 58.9
Q 8
What is the result of the following expression: 5 + 51 + (-3) + 7 + (-5.1)?
A. 52.9
B. 53.9
C. 54.9
D. 58.9
5
Averages
Q 1
The average age of 20 students is 12 years. If the teacher's age is included, the average increases by one. The age of the teacher is:
A. 30 years
B. 28 years
C. 33 years
D. 35 years
Q 2
When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?
A. 57
B. 58
C. 59
D. 60
Q 3
The average value of A and B is 50000, that of B and C is 60000 and average of A and C is 55000. Find the value of B:
A. 50000
B. 55000
C. 60000
D. None of these
Q 4
The average height of five pupils is 68 inches. If one is 70 inches and three others are 76 inches, then what is the height of the fifth pupil?
A. 36
B. 38
C. 40
D. 42
Q 5
The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 and of girls is 40 kg. Therefore, the number of boys is:
A. 50
B. 60
C. 650
D. None of these
Q 6
A shopkeeper purchases 5 cartoons in 105 rupees and 8 cartoons in 155 rupees. If a cartoon contains 5 items, then average price per item is:
A. 4.20
B. 4.50
C. 4.75
D. None of these
Q 7
There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.
A. 30 Kg
B. 35 Kg
C. 37.25 Kg
D. None of these
Q 8
The average of the first five multiples of 9 is:
A. 20
B. 27
C. 28
D. None of these
6
Ratios
Q 1
If x:y = 3:4, then (7x + 3y) : (7x - 3y) is equal to?
A. 11:3
B. 6:3
C. 5:3
D. 1:3
Q 2
A milkman adds 10 liters water in 10-liter milk. His son takes 15 liter of mixture and adds 5-liter water in it. Find out the amount of water in liter in this milk?
A. 10
B. 12.5
C. 13.8
D. 15
Q 3
A washerman irons 4 shirts in 12 minutes. How many shirts will he iron in one hour?
A. 15
B. 20
C. 30
D. None of these
Q 4
If two times A is equal to three times of B and also equal to four times of C, then A : B : C is
A. 2:3:4
B. 3:4:2
C. 4:6:3
D. 6:4:3
Q 5
What is the smallest ratio of 0.35/0.65?
A. 5/13
B. 7/13
C. 9/15
D. 3/17
Q 6
If in two hours three lawns are being completed. How many lawns will be completed in ten hours?
A. 10 lawns
B. 12 lawns
C. 15 lawns
D. None of these
Q 7
A car's faulty meter records 2 miles for every 3 miles actually covered. If the meter shows 48 miles, what is the actual distance covered by the car?
A. 72 miles
B. 32 miles
C. 96 miles
D. 64 miles
Q 8
Three quantities a, b, c have ratios a:b = 1:2 and b:c = 2:3. The combined ratio a:b:c is:
A. 3:4:5
B. 2:3:4
C. 1:2:3
D. None of these
7
Fractions
Q 1
Solve: 1/10 × 3/5 × 6/5 = ?
A. 9/225
B. 9/125
C. 7/125
D. 2/125
Q 2
In a class, one-fourth opted to learn German; four-fifths of the remaining students Italian. Two-thirds of the remaining students decided to learn French and the rest Japanese. 12 people decided to learn Japanese. How many of them opted for Italian?
A. 120
B. 136
C. 144
D. 256
Q 3
If 1/4 writing, 1/6 reading and 1/8 designing are participated in different contests and 33 participants of mathematics, then total number of participants are:
A. 72
B. 71
C. 72
D. 73
Q 4
Which of the following fractions is greater than 3/4 and less than 5/6?
A. 9/10
B. 2/3
C. 1/2
D. 4/5
Q 5
If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is 18 26/27. What is the original fraction?
A. 1 1/2
B. 2 2/3
C. 8/27
D. None of theses
Q 6
Which is the biggest fraction: 3/4, 5/6, 7/12, or 7/8?
A. 7/8
B. 3/4
C. 5/6
D. 7/12
Q 7
If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is 18 26/27. What is the original fraction?
A. 1.33
B. 3.66
C. 2.67
D. None of these
Q 8
What is (5/6) * (2/5)?
A. 1/3
B. 1/5
C. 1/6
D. 2/3
8
Profit And Loss
Q 1
Salman bought a TV for Rs. 8,800 including GST at 10%. What is the original cost of the TV?
A. Rs.8800
B. Rs.8000
C. Rs.7920
D. Rs.8200
Q 2
If books bought at prices ranging from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs 350, what is the greatest possible profit that might be made in selling 15 books?
A. Rs. 2000
B. Rs. 2500
C. Rs. 3000
D. Rs. 3500
Q 3
A person bought 200 dozen oranges at Rs. 10 per dozen and spent Rs. 500 on transportation. He sold each orange at Rs. 1 each. What was his profit or loss percentage?
A. 5% Loss
B. 4% Loss
C. 3% Loss
D. None of these
Q 4
A toy is sold for Rs. 220. What was the cost, if the rate of profit was 10% of the cost?
A. 200
B. 198
C. 210
D. 180
Q 5
The cost price of 20 articles is the same as the selling price of X article. If the profit is 25% then the value of X is:
A. 15
B. 16
C. 18
D. 25
Q 6
If Ali gets a 25% profit by selling an article for 250 rupees, what is the original price of the article?
A. 200
B. 230
C. 240
D. None of these
Q 7
Ahmed got 25 rupees profit on every article of Rs 250, then how much percentage of profit did he make?
A. 10%
B. 20%
C. 11.11%
D. None of these
Q 8
Akram sold a plot at Rs 60,000 and the cost of the plot was Rs 57,000. The profit percentage he earned is?
A. 3.23%
B. 5.26%
C. 10.32%
D. 6.32%
9
Time And Work
Q 1
If 10 persons can do a job in 20 days, then 20 persons with twice the efficiency can do the same job in:
A. 10 days
B. 5 days
C. 3 days
D. None of these
Q 2
A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. The number of days taken by A, B, and C together to finish the work is:
A. 10 days
B. 12 days
C. 14 days
D. None of these
Q 3
Working 5 hours a day, A can complete a work in 8 days, and working 6 hours a day, B can complete it in 10 days. Working 8 hours a day, they can jointly complete the work in:
A. 3 days
B. 4 days
C. 4.5 days
D. None of these
Q 4
42 women can do a piece of work in 18 days. How many women are required to do the same piece of work in 21 days?
A. 34
B. 35
C. 36
D. None of these
Q 5
A and B together can complete a work in 3 days. They start together but, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in:
A. 04 days
B. 06 days
C. 08 days
D. None of these
Q 6
A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B to finish the work.
A. 10 days
B. 12 days
C. 14 days
D. 16 days
Q 7
If 40 men can do a piece of work in 25 days, in how many days can 12 men do the same job?
A. 79 days
B. 85 days
C. 78 days
D. None of these
Q 8
A is twice as good as B as a workman. A takes 30 days less than B to finish a job. In how many days can both complete the work together?
A. 20 days
B. 30 days
C. 60 days
D. None of these
10
Statistics
Q 1
_______ is a variable that has infinite number of values.
A. Continuous variable
B. Discrete variable
C. Classificatory variable
D. None of these
Q 2
_______ has a unique origin i.e. zero.
A. Nominal scale
B. Ordinal scale
C. Interval scale
D. Ratio scale
Q 3
_______ is a better synonym for an average.
A. Geometric mean
B. Harmonic mean
C. Arithmetic mean
D. Weighted average mean
Q 4
White General test is used to detect:
A. Homodasticity
B. Heteroscedasticity
C. Monodasticity
D. None of these
Q 5
Multicollinearity is based on:
A. Uniform
B. Variables
C. Constant
D. None of these
Q 6
The compounded growth rate is measured by:
A. Harmonic mean
B. Geometric mean
C. Arithmetic mean
D. None of these
Q 7
The average of the data is also known as:
A. Harmonic mean
B. Arithmetic mean
C. Geometric mean
D. Sample mean
Q 8
The standard deviation is the _____ of the variance:
A. Square
B. Square root
C. Cube
D. Cube root
11
Word Problems
Q 1
A retail store has monthly fixed costs of $3,000 and monthly salary costs of $2,500 for each employee. If the store hires x employees for an entire year, which equation represents the total cost c?
A. c = 3,000 + 2,500x
B. c = 12(3,000 + 2,500x)
C. c = 12(3,000) + 2,500x
D. c = 3,000 + 12(2,500x)
Q 2
Ali is twice as old as his youngest brother if the difference between their ages is 15 years. How old is his youngest brother?
A. 10
B. 15
C. 20
D. 25
Q 3
A is two years older than B who is twice as old as C. If the sum of the ages of A, B and C is 27, how old is B?
A. 9
B. 10
C. 11
D. 12
Q 4
A man walked for 1/3 hour and then got an automobile ride for 1/2 hour. What part of total time did he ride on the automobile?
A. 0.4
B. 0.5
C. 0.6
D. 0.7
Q 5
A car that gets 15 miles per gallons of gasoline can travel 250 miles on a full tank. If the same car got 20 miles per gallon, how many miles could it travel on a full tank?
A. 150
B. 200
C. 250
D. None of these
Q 6
A and B have the same amount of money at first. After A gives B $50, B has 5 times as much money as A has left. How much do A and B have at first?
A. $50
B. $75
C. $100
D. None of these
Q 7
Aaron has 3 times as much money as Josh. If Aaron gives Josh $50, Josh will then have 3 times as much money as Aaron. How much money do the two of them have together?
A. $100
B. $110
C. $135
D. $150
Q 8
The fuel is 22 after 4th lap and it is 18 after 7th lap. How many laps are made at the end?
A. 10
B. 12
C. 14
D. 16
12
Number Series
Q 1
If 5=15, 6=24 then 7=?
A. 30
B. 35
C. 40
D. 45
Q 2
Complete the series: 1, 3, 7, 15, 31, 63, _____
A. 123
B. 125
C. 127
D. 129
Q 3
Complete the series: 2, 4, 10, 28, _____
A. 64
B. 70
C. 76
D. 82
Q 4
The sum of the first five prime numbers is:
A. 24
B. 26
C. 28
D. 30
Q 5
Complete the series: 1, 1, 8, 4, 27, 9, ?, ?
A. 36
B. 64
C. 81
D. 125
Q 6
Complete the series: 3, 4, 6, 9, 13, ......
A. 16
B. 17
C. 18
D. None of these
Q 7
Complete the series: 7, 13, 21, ___, 43
A. 29
B. 31
C. 33
D. 34
Q 8
Complete the series: 2, 6, 12, 20, 30, 42, ___
A. 50
B. 52
C. 54
D. 56