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GATE 2020 : Engineering Mathematics Rapid mini mock (App update required to attempt this test)

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Question 1

The error in numerically computing the integral using the trapezoidal rule with three intervals of equal length between 0 and is_______ .

Question 2

The value of

Question 3

The value of

along the curve |z| = 1 is _________.

Question 4

The expansion of log

where

is given by

Question 5

If a discrete random variable X has the following probability distribution, then the standard deviation is

Question 6

The value of

where

and ‘

’ is the part of the surface of the plane

located in the first octant, is____.

Question 7

Let A be a

matrix with eigen values

Then

Question 8

A bolt is manufactured by 3 machines A, B and C. Machine A turn out twice as many items as B, and machines B and C produce equal number of items. 2% of bolts produced by A and B are defective and 4% of bolts produced by C are defective. All bolts put into 1 stock pile and 1 is chosen from this pile. The probability that it is defective is ____.

Question 9

Consider the differential equation,

Its complementary function is

Question 10

Simpson

rule is used to integrate the function

between x = 0 and x = 1 using the least number of equal sub-intervals. The value of the integral is_________

Question 11

Urn 1 has five white and seven black balls. Urn 2 has three white and twelve black balls. We flip a fair coin. If the outcome is heads, then a ball from urn 1 is selected, while if the outcome is tails, then a ball from urn 2 is selected. Suppose that a white ball is selected. What is the probability that the coin landed tails______________ (round upto 2 decimal places).

Question 12

In the complex plane , the angle between line (1 + i) and (–1 + i) is _____ degrees

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ESE & GATE ME Engineering Mathematics

Jan 2ESE & GATE ME