UPSC Conducts Special Class Railway Apprentices (SCRA) Examination for selection of candidates to be appointed as Special Class Railway Apprentices in Mechanical Department of Indian Railways. Candidates who are preparing for the UPSC SCRA Exam in the forthcoming year can find out what kind of questions were asked in this exam in the year 2014. Some of the questions asked in Mathematics Paper III of UPSC SCRA Exam 2014 are as follows: Also Read - West Bengal MBBS Seats Increased to 4,000: CM Mamata Banerjee

1. The function ƒ : R → R defined by ƒ(x) = (x-a)(x-b)(x-c) where a, b, c ε R, is Also Read - Will Convert All State-Run Madrasas Into a General School: Assam Minister Himanta Biswa Sarma

(a) not one-one but onto
(b) one-one but not onto
(c) both one-one and onto
(d) neither one-one not onto Also Read - Anything For Education: Goa Students Trek 3km Everyday to Reach Hilltop to Access Internet For Online Classes

2. If A = {1,2,3,4}, then which of the following is/are the function(s) from A to itself?

I. ƒ1 = {(x, y) l x+y = 5}
II. ƒ2 = {(x, y) l y < x}

Select the correct answer using the code given below.

(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II

3. If ƒ : R → be given by y = ƒ(x) = (x + 1)² – 1 then ƒ(x) is invertible if

(a) y ≥ -1
(b) -2 ≤ y < -1
(c) -3 ≤ y < -2
(d) None of the above

4. The complex numbers z satisfying z² + lzl = 0 are

(a) 0, i, -i
(b) 0, l, i, -i
(c) 0, l, -l, i, -i
(d) 0, -1

5. If the lines  x+2ay+a=0, x+3by+b=0 and x+4cy+c=0 are concurrent, then a, b, c are in

(a) HP
(b) AP
(c) GP
(d) None of the above

Click here to get entire question paper on official website of UPSC.

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