#1
July 13th, 2016, 03:21 PM
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IISC Aptitude Questions
Hello sir I want to prepare for IISC exams and here want to know some Aptitude Questions so can you please give me its details ?
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#2
July 13th, 2016, 03:47 PM
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Re: IISC Aptitude Questions
Hey as per your demand here I am giving you details of IISC Aptitude Questions for your practice Here I am giving you IISC Aptitude Questions 1. Consider the following system of linear equations. x + y + z + w = b1. x − y + 2z + 3w = b2. x − 3y + 3z + 5w = b3. x + 3y − w = b4. For which of the following choices of b1, b2, b3, b4 does the above system have a solution? (A) b1 = 1, b2 = 0, b3 = −1, b4 = 2. (B) b1 = 2, b2 = 3, b3 = 5, b4 = −1. (A) b1 = 2, b2 = 2, b3 = 3, b4 = 0. (A) b1 = 2, b2 = −1, b3 = −3, b4 = 3 Let y : [0, 1] → R be a twice continuously differentiable function such that, (x) − y(x) < 0, for all x ∈ (0, 1), and y(0) = y(1) = 0. Then, (A) y has at least two zeros in (0, 1). (B) y has at least on zero in (0, 1). (C) y(x) > 0 for all x ∈ (0, 1). (D) y(x) < 0 for all x ∈ (0, 1). 3. Which one of the following boundary value problems has more than one solution? (A) y 00 + y = 1, y(0) = 1, y(π/2) = 0. (B) y 00 + y = 1, y(0) = 0, y(2π) = 0. (C) y 00 − y = 1, y(0) = 0, y(π/2) = 0. (D) y 00 − y = 1, y(0) = 0, y(π) = 0 Let A be an n × n nonsingular matrix such that the elements of A and A−1 are all integers. Then, (A) detA must be a positive integer. (B) detA must be a negative integer. (C) detA can be +1 or −1. (D) detA must be +1. 5. Let Q be a polynomial of degree 23 such that Q(x) = −Q(−x) for all x ∈ R with |x| ≥ 10. If R 1 −1 (Q(x) + c) dx = 4 then c equals (A) 0. (B) 1. (C) 2. (D) 4. |
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