GATE CE 2018 Question Paper (11-Feb-2018) (Shift 2)

Question 1

&ldquo;His face ___________ with joy when the solution of the puzzle was _______ to him.&rdquo; The words that best fill the blanks in the above sentence are

Accepted Answer

shone, shown

Answer

shone, shone

Answer

shown, shone

Answer

shown, shown

Question 2

&ldquo;Although it does contain some pioneering ideas, one would hardly characterize the work as _________.&rdquo;The word that best fills the blank in the above sentence is:

Accepted Answer

innovative

Answer

simple

Answer

dull

Answer

boring

Question 3

$\underbrace {{\rm{a}} + {\rm{a}} + {\rm{a}} + \ldots + {\rm{a}}}_{{\rm{n\;times}}} = {{\rm{a}}^2}{\rm{b\;}}$ and $\underbrace {{\rm{b}} + {\rm{b}} + {\rm{b}} + \ldots + {\rm{b}}}_{{\rm{m\;times}}} = {\rm{a}}{{\rm{b}}^2}$, where 𝑎, 𝑏, 𝑛 and 𝑚 are natural numbers. What is the value of$\left( {\underbrace {{\rm{m}} + {\rm{m}} + {\rm{m}} + \ldots + {\rm{m}}}_{{\rm{n\;times}}}} \right)\left( {\underbrace {{\rm{n}} + {\rm{n}} + {\rm{n}} + \ldots + {\rm{n}}}_{{\rm{m\;times}}}} \right)?$

Accepted Answer

a4 b4

Answer

2a2b2

Answer

ab(a + b)

Answer

a2 + b2

Question 4

A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?

Accepted Answer

84

Answer

27

Answer

72

Answer

81

Question 5

For non-negative integers, 𝑎, 𝑏, 𝑐, what would be the value of 𝑎 + 𝑏 + 𝑐 if log 𝑎 + log 𝑏 + log 𝑐 = 0?

Accepted Answer

3

Answer

1

Answer

0

Answer

-1

GATE CE 2018 Question Paper (11-Feb-2018) (Shift 2)

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