Q. In a mixture of two liquids, if the first liquid is 25% alcohol and the second is 75% alcohol, what is the overall percentage of alcohol if equal volumes of both liquids are mixed?
Q. In a mixture of two liquids, if the first liquid is 60% pure and the second is 80% pure, what is the overall purity if they are mixed in equal volumes?
Q. In a mixture of two types of tea, if the first type costs $5 per kg and the second type costs $7 per kg, what is the cost per kg of the mixture if they are mixed in the ratio 2:3?
Q. In a pie chart depicting the market share of four companies, Company A has 25%, Company B has 35%, Company C has 20%, and Company D has 20%. Which company has the least market share?
A.Company A
B.Company B
C.Company C
D.Company D
Solution
Company A has the least market share at 25% compared to the others.
Q. In a pie chart depicting the preferences of students for different sports, if 10% prefer basketball, 20% prefer football, and 30% prefer cricket, what percentage of students prefer other sports?
A.40%
B.50%
C.60%
D.70%
Solution
The percentage of students preferring other sports is 100% - (10% + 20% + 30%) = 40%.
Q. In a pie chart representing the market share of four companies, Company A has 25%, Company B has 35%, Company C has 20%, and Company D has 20%. If Company B increases its market share by 5%, what will be the new percentage of Company B?
A.30%
B.35%
C.40%
D.45%
Solution
Company B's new market share will be 35% + 5% = 40%.
Q. In a pie chart, if the segment for 'Transportation' is 25% and 'Housing' is 35%, what is the combined percentage for 'Food' and 'Entertainment' if they make up the rest?
A.40%
B.50%
C.60%
D.70%
Solution
The combined percentage for 'Food' and 'Entertainment' is 100% - (25% + 35%) = 40%.
Q. In a pie chart, if the segment representing 'Others' is 10% and the remaining segments are equally divided among three categories, what is the percentage of each of those categories?
A.30%
B.25%
C.20%
D.15%
Solution
The remaining percentage is 100% - 10% = 90%. Divided equally among three categories, each gets 90% / 3 = 30%.
Q. In a project involving tasks A, B, C, and D, if A and B can be done simultaneously but must be completed before C, and D can be done at any time, which of the following is a correct sequence?
A.A, B, C, D
B.C, A, B, D
C.D, A, B, C
D.B, A, C, D
Solution
The sequence A, B, C, D is valid as A and B can be done simultaneously before C.
Q. In a project involving tasks A, B, C, and D, if task D can only start after task B is completed, which of the following is a possible order of tasks?
A.A, D, B, C
B.B, A, C, D
C.C, B, A, D
D.D, A, B, C
Solution
The order B, A, C, D is valid as D starts after B.
Q. In a project timeline, if Task 1 must be completed before Task 2, and Task 3 can start only after Task 2, which of the following sequences is valid?
A.Task 1, Task 3, Task 2
B.Task 2, Task 1, Task 3
C.Task 1, Task 2, Task 3
D.Task 3, Task 1, Task 2
Solution
The sequence Task 1, Task 2, Task 3 is valid as it respects the order of completion.
Q. In a project with tasks P, Q, R, and S, if P must be completed before Q and R, and S can be done at any time, which of the following is a possible order of completion?
A.P, Q, R, S
B.R, P, Q, S
C.S, P, Q, R
D.Q, R, P, S
Solution
The order P, Q, R, S respects the dependency of P on Q and R.
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 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, the scores of participants are as follows: M scored more than N but less than O. P scored less than M but more than Q. If Q scored the least, who has the highest score? (2023)
A.M
B.N
C.O
D.P
Solution
The order of scores is Q < P < M < O < N. Therefore, O has the highest score.
