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ISRO EXAM 2017 : Engineering Mathematics Quiz- 6

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Question 1

Differential equation for the variation of amount of salt V in a tank is given by: (dx/dt) + (x/20) =10. Where x is in kg and t is in minutes. Assuming that at time zero there is no salt in the tank, find the time at which the amount of salt increases to 100 kg

Question 2

If y=

, then

Question 3

A box contains 5 black and 5 red balls. Two balls are randomly picked one after another from the box, without replacement. The probability for both balls being red is

Question 4

If Ф(x,y,z) is a scalar function and if ∇²f = 0 , then Ф is

Question 5

Find the value of λ for which the set of equations
x+y−2z=0,
2x−3y+z=0, and
x−5y+4z=λ are consistent.

Question 6

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference are 3% each, then error in the value of resistance of the wire is

Question 7

Find a particular integral of the differential equation $Description: Description:ISROME2009_files\image264.png$

Question 8

If u = log(tan x + tan y), then $Description: Description:ISROME2009_files\image240.png$ is

Question 9

A and B are two candidates appearing for an interview by a company. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. The probability of B getting selected is

Question 10

The image of the point P(1,3,4) in the plane 2x – y + z = -3 is

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ESE & GATE ME Engineering Mathematics

May 24ESE & GATE ME