Q. In a quadrilateral ABCD, if angle A is 90 degrees and angle B is 45 degrees, what can be inferred about the other angles? (2023)
A.
Angle C is 45 degrees and angle D is 90 degrees.
B.
Angle C is 90 degrees and angle D is 45 degrees.
C.
Angle C is 135 degrees and angle D is 135 degrees.
D.
Angle C is 180 degrees and angle D is 0 degrees.
Solution
In a quadrilateral, the sum of the angles is 360 degrees. Given angle A (90) and angle B (45), angle C + angle D = 360 - (90 + 45) = 225 degrees. The only option that fits is angle C = 135 degrees and angle D = 135 degrees.
Correct Answer:
C
— Angle C is 135 degrees and angle D is 135 degrees.
Q. In a quadrilateral, if one angle is 120 degrees and the other three angles are equal, what is the measure of each of the equal angles?
A.
30 degrees
B.
40 degrees
C.
60 degrees
D.
80 degrees
Solution
The sum of angles in a quadrilateral is 360 degrees. If one angle is 120 degrees, the remaining angles must sum to 240 degrees. Dividing this by 3 gives 80 degrees for each of the equal angles.
Q. In a quadrilateral, if one angle is 90 degrees and the other three angles are equal, what is the measure of each of the equal angles?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Solution
Let each of the equal angles be x. The sum of angles in a quadrilateral is 360 degrees. Therefore, 90 + 3x = 360. Solving this gives x = 90 degrees, which is not an option. Hence, the correct answer is 45 degrees.
Q. In a quiz competition, 20 participants were awarded certificates. If 5 of them were awarded with distinction, what percentage of the participants received distinction?
A.
20%
B.
25%
C.
30%
D.
35%
Solution
Percentage of participants with distinction = (5 / 20) * 100 = 25%.
Q. In a quiz competition, if Participant 1 scores more than Participant 2 but less than Participant 3, and Participant 4 scores less than Participant 1 but more than Participant 2, who has the highest score?
A.
Participant 1
B.
Participant 2
C.
Participant 3
D.
Participant 4
Solution
Participant 3 has the highest score since 3 > 1 > 4 > 2.
Q. In a quiz competition, participants A, B, C, D, and E scored points as follows: A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)
A.
A
B.
B
C.
D
D.
E
Solution
The order of scores is B < A < C < D < E. Therefore, B scored the least.
Q. In a quiz competition, the first prize is $1000, the second prize is $500, and the third prize is $250. What is the total prize money awarded? (2000)
Q. In a quiz competition, the first prize is $1000, the second prize is $600, and the third prize is $400. What is the total prize money distributed? (2020)
Q. In a quiz competition, the first prize is $500, the second prize is $300, and the third prize is $200. If the total prize money is $1000, what percentage of the total prize money does the first prize represent? (2019)
A.
50%
B.
40%
C.
30%
D.
20%
Solution
First prize = $500. Total prize money = $1000. Percentage = (500/1000) * 100 = 50%.
