7/29/2019 Mondals Gate Paper Test 3

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S K Mondals GATE-2013 Test-3

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All India Test Series

Mechanical Engineering

Duration: 3 Hrs Maximum Marks: 100

Read the following instructions carefully:

There are total 65 questions carrying 100 marks: Q.1 to Q.25 (25 questions) will carry

one mark each (sub-total 25 marks). Q.26 to Q.55 (30 questions) will carry two marks each

(sub-total 60 marks).Question pairs (Q.48,Q 49) and (Q. 50, Q 51) are common data questions

and question pairs (Q.52, Q.53) and (Q.54, Q.55) are linked answer questions. The answer to

the second question of the last two pairs will depend on the answer to the first question of the

pair. If the first question in the linked pair is wrongly answered or is un-attempted, then the

answer to the second question in the pair will not be evaluated. Q 56 to Q 60 (5 questions) will

carry one mark each (sub-total 5 marks). Q 61 to Q 65 (5 questions) will carry two marks each

(sub-total 10 marks).

Negative Marking: For Q.1 to Q.25, 1/3 mark will be deducted for each wrong answer. For

Q.26 to Q.55, 2/3 mark will be deducted for each wrong answer. The question pairs (Q.52,

Q.53), and (Q.54, Q.55) are questions with linked answers. There will be negative marks only

for wrong answer to the first question of the linked answer question pair i.e. for Q.52 and

Q.54, 2/3 mark will be deducted for each wrong answer. There is no negative marking for Q.53

and Q.55. For Q.56 to Q.60, 1/3 mark will be deducted for each wrong answer. For Q.61 to

Q.65, 2/3 mark will be deducted for each wrong answer.

Fill Objective Response Sheet (ORS) using a soft HB pencil. Do not use the ORS for any

rough work. You may like to use the Answer Book for any rough work, if needed.

Answer All Questions

7/29/2019 Mondals Gate Paper Test 3

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S K Mondals GATE-2013 Test-3

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Q1 to 25 carry 1 marks each

Q.1 Ifn n 1

o 1f x,y a x a x yn 1 n

n 1 n..... a xy a y where ia 's are constant

i 0, 1, ... , n thenf f

x yx y

is

(a)f

n(b)

n

f(c) nf (d) n f

Q.2 The fixed point of the function3iz 13

f zz 3i

(a) 3i 2 (b) 3 2i (c) 2 3i (d) 2 3i

Q.3 An nxn homogeneous system of equations AX = 0 is given. The rank of A is r