Mathematics Mcqs

Mathematics MCQs include a wide range of solved multiple-choice questions from basic arithmetic to advanced mathematics. These questions cover topics such as Algebra, Geometry, Trigonometry, Calculus, Probability, Statistics, and Arithmetic. They are especially designed for students and candidates preparing for PPSC, FPSC, CSS, PMS, NTS, KPPSC, SPSC, and other competitive exams. Practicing these MCQs helps improve problem-solving skills, numerical ability, and analytical reasoning, making them ideal for both academic learning and job test preparation.

A tank in the shape of a cylinder with a diameter of 2.4 m and height 6.4 m contains oil up to the brim. Find the number of complete smaller cylindrical containers, each with a base radius of 8.2 cm and height 28 cm, that can be completely filled using the oil from the tank?

A. 4895 m³
B. 92160 m³
C. 4795 m³
D. 4761 m³
Correct answer is: A. 4895 m³
Find the volume of the larger tank:
Radius of the larger tank = Diameter / 2 = 2.4 m / 2 = 1.2 m
Volume of a cylinder = π * radius² * height
Volume of the larger tank = π * (1.2 m)² * 6.4 m
Volume of the larger tank ≈ 28.94 m³
2. Find the volume of the smaller containers:
Radius of the smaller container = 8.2 cm / 100 = 0.082 m
Height of the smaller container = 28 cm / 100 = 0.28 m
Volume of a smaller container = π * (0.082 m)² * 0.28 m
Volume of a smaller container ≈ 0.00059 m³
3. Calculate the number of smaller containers:
Number of containers = Volume of larger tank / Volume of smaller container
Number of containers ≈ 28.94 m³ / 0.00059 m³
Number of containers ≈ 49050.84
4. Since we can only have whole containers:
Number of complete smaller containers = 49050
Therefore, approximately 49050 smaller cylindrical containers can be completely filled using the oil from the larger tank.

80% of 700 is:

A. 560
B. 570
C. 580
D. 590
Correct answer is: A. 560
80% of 700 is calculated as 560.

If the percentage of 700 is 560, then the percentage is:

A. 80%
B. 85%
C. 90%
D. 95%
Correct answer is: A. 80%
560 is 80% of 700.

Solve the equation 9 – 3 ÷ 1/3 + 1 = _____?

A. 1
B. 3
C. 9
D. None
Correct answer is: A. 1
The correct answer is 1. Following the order of operations: 9 - (3 ÷ 1/3) + 1 = 9 - 9 + 1 = 1.

Complete the series: 11, 13, 17, 19, 23, 29, 31, 37, 41, ______?

A. 43
B. 47
C. 51
D. 57
Correct answer is: A. 43
The series consists of prime numbers. The next prime number after 41 is 43.

Simplify the equation 5 + 2 × 6 ÷ 3 (2)=?

A. 9
B. 13
C. 7
D. 5
Correct answer is: C. 7
By using PEMDAS: Parentheses: Simplify inside the parentheses first. There is nothing to simplify inside the parentheses themselves, but we should identify that

3(2) means

3×2.

3(2)=3×2=6

So the equation becomes:

5+2×6÷6

Multiplication and Division: Next, we perform multiplication and division from left to right.

First, perform the multiplication:

2×6=12

Then, perform the division:

12÷6=2

Now the equation is:

5+2

Addition: Finally, perform the addition:

5+2=7

So, the simplified value of the equation is:

5+2×6÷3(2)=7

When 20% of itself is added to a number, it gives 102. Find the number.

A. 90
B. 75
C. 85
D. 185
Correct answer is: C. 85
Let the number be x. x+0.2x=102 gives 1.2x=102. Solving, x=85.

A man spends 35% of his income on food, 25% on children’s education, and 80% of the remaining on house rent. What percent of his income is he left with?

A. 6%
B. 8%
C. 10%
D. 12%
Correct answer is: B. 8%
Nil

I promise to _____ you in all circumstances.

A. Stand up to
B. Stand with
C. Stand off
D. Stand by
Correct answer is: B. Stand with
NA

Rashid buys 3 books for Rs. 16 each and four books for Rs. 23 each. What will be the average price of books?

A. 20
B. 15
C. 22
D. 30
Correct answer is: A. 20
NA
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