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Advanced Numerical Comprehension Quiz

#1

What is the result of 3^4?

64
Explanation

Exponentiation: 3 multiplied by itself 4 times.

#2

What is the value of √(16/4)?

2
Explanation

Square root of the division of 16 by 4.

#3

Find the value of x in the equation 2x + 5 = 17.

8
Explanation

Solving a simple linear equation.

#4

If a rectangle has a length of 8 units and a width of 6 units, what is its area?

48 square units
Explanation

Area formula: Length × Width.

#5

What is the result of 4^0?

1
Explanation

Any non-zero number raised to power 0 equals 1.

#6

If the square root of x is equal to 5, what is the value of x?

25
Explanation

Inverse operation of square root.

#7

What is the result of 10% of 200?

20
Explanation

Percentage calculation.

#8

What is the result of 5!?

120
Explanation

Factorial of 5: 5 × 4 × 3 × 2 × 1.

#9

What is the value of 2^3 * 3^2?

72
Explanation

Product of powers of 2 and 3.

#10

What is the value of the expression 2x + 3y - z when x=2, y=4, z=1?

11
Explanation

Substitute values and compute the expression.

#11

If a circle has a radius of 5 units, what is its circumference?

25π units
Explanation

Circumference formula: 2πr.

#12

What is the value of sin(π/6)?

1/2
Explanation

Sine function calculation.

#13

What is the result of 2^8?

256
Explanation

Exponentiation: 2 multiplied by itself 8 times.

#14

If a triangle has sides of lengths 5, 12, and 13 units, what type of triangle is it?

Right-angled
Explanation

Verify Pythagorean theorem.

#15

What is the result of (7 + 3) * (4 - 2)?

20
Explanation

Multiplication of the sum and the difference.

#16

What is the result of log(base 2) 32?

5
Explanation

Logarithmic calculation.

#17

If the sum of three consecutive integers is 45, what is the smallest integer?

14
Explanation

Understanding consecutive integer sums.

#18

What is the value of cos(π/3)?

√3/2
Explanation

Cosine function calculation.

#19

If f(x) = 3x^2 - 2x + 5, what is f(2)?

17
Explanation

Substitute x=2 into the function.

#20

What is the value of tan(π/4)?

1
Explanation

Tangent function calculation.

#21

What is the value of cos(π/6)?

√2/2
Explanation

Cosine function calculation.

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