Q. In a class of 60 students, the ratio of boys to girls is 3:2. If the number of boys is increased by 10, what will be the new ratio of boys to girls? (2023)
A.4:3
B.5:2
C.3:2
D.2:3
Solution
Initially, there are 36 boys and 24 girls. After increasing the boys by 10, there will be 46 boys and 24 girls, giving a new ratio of 46:24, which simplifies to 4:3.
Q. In a class of six students, A is taller than B but shorter than C. D is shorter than E but taller than A. F is the tallest. Who is the second tallest? (2023)
A.A
B.B
C.C
D.D
Solution
The order of height is F > C > A > D > E > B. Therefore, C is the second tallest.
Q. In a classroom, the teacher wants to arrange students in rows such that each row has the same number of students. If there are 24 students, which of the following arrangements is NOT possible?
A.6 rows of 4 students
B.8 rows of 3 students
C.12 rows of 2 students
D.5 rows of 5 students
Solution
5 rows of 5 students would require 25 students, which is not possible with only 24 students.
Q. In a constraint-based set of colors, if red and blue are included, which of the following colors could be excluded based on the constraint of primary colors?
A.Green
B.Yellow
C.Purple
D.Orange
Solution
Purple is a secondary color formed by mixing red and blue, thus it could be excluded if only primary colors are considered.
Q. In a cooking competition, chefs A, B, C, D, and E are ranked. A is ranked higher than B and C, but lower than D. E is ranked lower than A. What is the correct ranking from highest to lowest?
A.D, A, B, C, E
B.D, A, E, B, C
C.A, D, B, C, E
D.E, D, A, B, C
Solution
The ranking is D > A > B/C > E, making the correct order D, A, B, C, E.
Q. In a debate competition, the speakers A, B, C, D, and E are ranked based on their performance. A is ranked higher than B but lower than C. D is ranked lower than E but higher than A. What is the correct order from highest to lowest rank?
A.C, A, B, D, E
B.C, E, D, A, B
C.E, C, A, D, B
D.C, E, D, B, A
Solution
The order is C > A > B and E > D > A. Thus, the correct order is C, E, D, A, B.
Q. In a family, the ages of the siblings are as follows: X is older than Y but younger than Z. W is younger than X but older than V. Who is the oldest sibling? (2023)
A.X
B.Y
C.Z
D.W
Solution
The order of ages is Y < V < W < X < Z. Therefore, Z is the oldest sibling.
Q. In a game, the probability of winning is 0.25. If a player plays 4 times, what is the probability of winning at least once?
A.0.75
B.0.84
C.0.93
D.0.99
Solution
The probability of losing all 4 games is (0.75)^4 = 0.3164. Therefore, the probability of winning at least once is 1 - 0.3164 = 0.6836, approximately 0.84.
Q. In a geometric series where the first term is 4 and the common ratio is 2, what is the sum of the first 5 terms? (2023)
A.60
B.62
C.64
D.68
Solution
The sum of the first n terms of a geometric series is a(1 - r^n) / (1 - r). Here, a = 4, r = 2, n = 5. So, 4(1 - 2^5) / (1 - 2) = 4(1 - 32) / -1 = 124.
