1
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A shaving set company sells $$4$$ different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. $$48,$$ Smooth at Rs. $$63,$$ Soft at Rs. $$78$$ and Executive at Rs. $$173$$ per piece. The table below shows the numbers of each razor sold in each quarter of a year.

Quarter \ Product Elegance Smooth Soft Executive
Q1 27300 20009 17602 9999
Q2 25222 19392 18445 8942
Q3 28976 22429 19544 10234
Q4 21012 18229 16595 10109

Which product contributes the greatest fraction to the revenue of the company in that year?

A
Elegance
B
Executive
C
Smooth
D
Soft
2
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
$$(x+1)$$
3
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
$$92.02$$
4
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c :

$$\left( I \right)\,p + m + c = {{27} \over {20}}$$

$$\left( {II} \right)\,p + m + c = {{13} \over {20}}$$

$$\left( {III} \right)\,\left( p \right) \times \left( m \right) \times \left( c \right) = {1 \over {10}}$$
A
Only relation $$I$$ is true
B
Only relation $$II$$ is true
C
Relations $$II$$ and $$III$$ are true.
D
Relations $$I$$ and $$III$$ are true.
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