# Tag Archives: Aptitude

Regarding the power of recognition of languages, which of the following statement is false? (A) The non-deterministic finite state automata are equivalent to deterministic finite… Read More
Which of the following sets can be recognized by a Deterministic Finite-state Automaton? (A) The number 1, 2, 4, 8……,2^n,………. written in binary. (B) The… Read More
If the regular set ‘A’ is represented by A= (01+1)* and the regular set ‘B’ is represented by B= ((01)* 1*)*, which of the following… Read More
The number of functions from an m element set to an n element set is (A) m+n (B) m^n (C) n^m (D) m*n Answer: (C)… Read More
Let R1 and R2 be two equivalence relations on a set. Consider the following assertions: (i) R1 ∪ R2 is an equivalence relation (ii) R1… Read More
Suppose A is a finite set with n elements. The number of elements in the largest equivalence relation of A is (A) n (B) n^2… Read More
What is the converse of the following assertion? I stay only if you go. (A) I stay if you go (B) If I stay then… Read More
Consider the function y = |x| in the interval [-1,1]. In this interval, the function is (A) continuous and differentiable (B) continuous but not differentiable (C)… Read More
Which of the following statements applies to the bisection method used for finding roots of functions: (A) converges within a few iteration (B) guaranteed to… Read More
Consider the following set of equations x+2y = 5 4x+8y = 12 3x+6y+3z = 15 This set- (A) has a unique solution (B) has no… Read More
A die is rolled three times. The probability that exact one odd number turns up among the three outcomes is (A) 1/6 (B) 3/8 (C)… Read More
The least value of 2sin2θ + 3cos2θ (A) 1/3 (B) 4/3 (C) 2 (D) 3/4 Answer: (C) Explanation: = 2sin2θ + 2cos2θ + cos2θ =2(sin2θ… Read More
If tan (x+y) tan (x-y) = 1, then find tan (2x/3)? (A) 2/√3 (B) 1/2 (C) 1/√2 (D) 1/√3 Answer: (D) Explanation: tanA = cotB,… Read More
What is minimum value of Sinθ + cosθ ? (A) -2 (B) 1/2 (C) -1 (D) -√2 Answer: (D) Explanation: Minimum value = √(a2 –… Read More
What is the maximum value of 5 Sinθ + 12 cosθ? (A) 16 (B) 13 (C) 10 (D) 12 Answer: (B) Explanation: Maximum value =… Read More