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AFCAT-EKT EE: Mock Test 2

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Question 1

If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then is equal to:

Question 2

The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30 ° than when it is 60 °.The height of the tower is ______

Question 3

The equation where has:

Question 4

If m1 and m2 are roots of the equation x2 + (+ 2) x + ( – 1) = 0 then the area of the triangle formed by the lines y = m1x, y = m2x and y = c is -

Question 5

Trigonometry has many real life examples in which it is a useful tool in solving a problem. Using this knowledge solve the following:
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships as 30 and 45 degrees respectively. If the light house is 100 m high find distance between the ships.

Question 6

2 sin sin =

Question 7

In the gold-leaf electroscope, When the electrode is charged by induction or by contact, the leaves acquire similar electric charges and repel each other due to which force?

Question 8

A moving coil galvanometer can be used as a voltmeter by inserting a _______ in series with the instrument.

Question 9

Which one of the following is a good electrical conductor?

Question 10

Solution region of the inequality y<-2 is represented by one of the following option.

Question 11

What is the geometric mean of the observations 125, 729, 1331?

Question 12

A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is –

Question 13

If momentum is increased by 20%, then kinetic energy increased by

Question 14

If two mirrors are kept at 60° to each other, then the number of images formed by them is:

Question 15

An object placed in front of a concave mirror at a distance of x cm from the pole gives a 3 times magnified real image. If it is moved to a distance of (x+5) cm, the magnification of the image becomes 2. The focal length of the mirror is
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Feb 7ESE & GATE EE