1
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is. Which of the following can be logically inferred from the above sentences?
A
India is a country of exactly seventeen languages.
B
Linguistic pluralism is the only indicator of a nation’s diversity.
C
Indian currency notes have sufficient space for all the Indian languages.
D
Linguistic pluralism is strong evidence of India’s diversity.
2
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the following statements relating to the level of poker play of four players $$P, Q, R$$ and $$S.$$

$$\,\,\,\,\,\,\,\,\,{\rm I}.\,\,\,\,\,\,\,\,$$ P always beats Q
$$\,\,\,\,\,\,\,{\rm I}{\rm I}.\,\,\,\,\,\,\,\,$$ R always beats S
$$\,\,\,\,\,{\rm I}{\rm I}{\rm I}.\,\,\,\,\,\,\,\,$$ S loses to P only sometimes
$$\,\,\,\,\,{\rm I}V.\,\,\,\,\,\,\,\,$$ R always loses to Q

Which of the following can be logically inferred from the above statements?

$$\,\,\,\,\,\,\,\,\,\left( i \right)\,\,\,\,\,\,\,\,$$ P is likely to beat all the three other players
$$\,\,\,\,\,\,\,\,\left( ii \right)\,\,\,\,\,\,\,$$ S is the absolute worst player in the set

A
$$(i)$$ only
B
$$(ii)$$ only
C
$$(i)$$ and $$(ii)$$ only
D
neither $$(i)$$ nor $$(ii)$$ only
3
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
If $$f\left( x \right) = 2{x^7} + 3x - 5,$$ which of the following is a factor of $$f(x)$$?
A
$$\left( {{x^3} + 8} \right)$$
B
$$\left( {x - 1} \right)$$
C
$$(2x-5)$$
D
$$(x+1)$$
4
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $$80$$ units, it takes $$100$$ cycles for failure. When the load is halved, it takes $$10000$$ cycles for failure. The load for which the failure will happen in $$5000$$ cycles is ________.
A
$$40.00$$
B
$$46.02$$
C
$$60.01$$
D
$$92.02$$
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