GATE Questions

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Let the number of students = 100

Number of students who failed in one or more subjects = 14 + 22 + 18 = 54%

The percentage of students who passed in both the subjects = 100 - 54 = 46%.

The given number series is 5, 8, 40, 90, 664

5

5 - 1 x 2 = 8

8 - 3 x 4 = 20 (NOT 40)

20 - 5 x 6 = 90

90 - 7 x 8 = 664

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

We Know that sum of the n natural numbers =n(n+1)2

Then sum of 50 natural numbers= 50(51)2= 1250

Average of the 50 natural numbers = 125050 = 25.5

D.C series motor both armature and feild connected in series at noload condition current drawn by the motor is zero Ia=0 flux also zero. but very small amount of flux avalible because of residual magnetism

in series motor speed  =  N α Eb/Φ Eb almost conistant

                                 =    N α 1/Φ

At no load condition d.c series can be run as dangerously very high so d.c series motor
operated at load condition only

The resistivity of wire or the metal conductor is depend on the number density of free electrons in the conductor. so its mainly depends on nature of the material

Lord Cornwallis introduced the Permanent Settlement of Bengal in 1793.