Q. If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, is it a right triangle? (2020)
-
A.
Yes
-
B.
No
-
C.
Cannot be determined
-
D.
Only if angles are known
Solution
Using the Pythagorean theorem, 7² + 24² = 49 + 576 = 625 = 25², thus it is a right triangle.
Correct Answer: A — Yes
Learn More →
Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28, what is A's age? (2022)
Solution
Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 28, so 7x = 28, giving x = 4. Thus, A's age = 3x = 12.
Correct Answer: A — 12
Learn More →
Q. If the ratio of the ages of A and B is 3:4 and the sum of their ages is 70, what is A's age? (2022)
Solution
Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 70, giving 7x = 70, so x = 10. Thus, A's age = 3x = 30.
Correct Answer: B — 35
Learn More →
Q. If the sum of the first n natural numbers is 255, what is the value of n? (2021)
Solution
The sum of the first n natural numbers is given by the formula n(n + 1)/2 = 255. Solving n(n + 1) = 510, we find n = 16.
Correct Answer: B — 16
Learn More →
Q. What is the solution to the equation 2x - 4 = 10? (2023)
Solution
Adding 4 to both sides gives 2x = 14. Dividing by 2 gives x = 7.
Correct Answer: D — 6
Learn More →
Q. What is the solution to the equation 4x + 8 = 24? (2023)
Solution
Subtracting 8 from both sides gives 4x = 16. Dividing by 4 gives x = 4.
Correct Answer: C — 6
Learn More →
Q. What is the value of the expression 4(3 + 2) - 5? (2019)
Solution
Calculating gives 4 × 5 - 5 = 20 - 5 = 15.
Correct Answer: A — 15
Learn More →
Q. What is the value of x if 3x + 5 = 20? (2020)
Solution
Subtracting 5 from both sides gives 3x = 15. Dividing by 3 gives x = 5.
Correct Answer: C — 7
Learn More →
Q. What is the value of x in the equation 5x - 3 = 2?
Solution
Adding 3 to both sides gives 5x = 5. Dividing by 5 gives x = 1.
Correct Answer: A — 1
Learn More →
Showing 1 to 9 of 9 (1 Pages)
