1
GATE ME 2004
MCQ (Single Correct Answer)
+1
-0.3
If $$\,\,\,x = a\left( {\theta + Sin\theta } \right)$$ and $$y = a\left( {1 - Cos\theta } \right)$$ then $$\,\,{{dy} \over {dx}} = \,\_\_\_\_\_.$$
A
$$Sin{\theta \over 2}$$
B
$$Cos{\theta \over 2}$$
C
$$Tan{\theta \over 2}$$
D
$$Cot{\theta \over 2}$$
2
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
From a pack of regular playing cards, two cards are drawn at random. What is the probability that both cards will be kings, if the card is NOT replaced?
A
$$1/26$$
B
$$1/52$$
C
$$1/169$$
D
$$1/221$$
3
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
The following data about the flow of liquid was observed in a continuous chemical process plant GATE ME 2004 Engineering Mathematics - Probability and Statistics Question 35 English

Mean flow rate of the liquid is

A
$$8.00$$ liters/sec
B
$$8.06$$ liters/sec
C
$$8.16$$ liters/sec
D
$$8.26$$ liters/sec
4
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
An ejector mechanism consists of a helical compression spring having a spring constant of k = 981 × 103 N/m. It is pre-compressed by 100mm from its free state. If it is used to eject mass of 100kg heald on it, the mass will move up through a distance of GATE ME 2004 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 58 English
A
$$100$$ $$mm$$
B
$$5000$$ $$mm$$
C
$$581$$ $$mm$$
D
$$1000$$ $$mm$$
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