91. Which one of the following diagram is odd one out?
(A) Diagram A
(B) Diagram B
(C) Diagram C
(D) Diagram D
Answer:
(C) Diagram C
Explanation:
Looking at the diagrams provided in the source images, diagrams A, B, and D consist of a grid pattern bounded by a circle featuring 5 vertical lines and 4 horizontal lines. Diagram C has the inverse: 4 vertical lines and 5 horizontal lines.
92. logₐ b × logb a =
(A) a
(B) 1
(C) 0
(D) b
Answer:
(B) 1
Explanation:
According to the change of base property of logarithms, logₐ b is equal to 1 / log_b a. When you multiply them together, they cancel out, equaling 1.
93. If y=f(x), then dy/dx?
(A) dx/dy
(B) 1 / (dx/dy)
(C) 1 – dy/dx
(D) dy/dx – 1
Answer:
(B) 1 / (dx/dy)
Explanation:
Based on the inverse function theorem in calculus, dy/dx is the reciprocal of dx/dy, provided dx/dy is not zero.
94. 13ᵗʰ term of the series (AP) 5, 9, 13, 17…….
(A) 55
(B) 53
(C) 52
(D) 43
Answer:
(B) 53
Explanation:
The series has a starting term (a) of 5 and a common difference (d) of 4. T_13 = a + 12d = 5 + 12(4) = 53.
95. If A is a super set of B, then B is a ——– of A
(A) Super set
(B) Sub set
(C) Empty set
(D) Equality of set
Answer:
(B) Sub set
Explanation:
In set theory, if A is a superset of B (meaning A contains all elements of B), then B is naturally defined as a subset of A.