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NDA || 25 day Challenge || Quiz 2020

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Question 1

A man is standing exactly at the mid-point between two buildings. If the angle of elevation of top of the buildings are 22.5° and 15°. Then find the ratio of heights of shorter building to taller building.

Question 2

There are two men, standing either side of a 50m high traffic light. The men observe the top of traffic light at angles of elevation as 45° and 60° respectively. If a car crosses those two men in 20 sec wat was the speed of a car approximately? (take )

Question 3

A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails?

Question 4

If  is divisible by 64 for all , then the least negative interval value of  is

Question 5

Let . Then, which of the following is true?

Question 6

Add:

Question 7

Find the value of

Question 8

If the perimeter of a rectangle is 100 cm, what will be the sides such that its area is maximum:

Question 9

The area bounded by the curves  and  is:

Question 10

A function  from the set of natural numbers to integers defined by

is

Question 11

The set of values of parameter  for which the function  defined by  is bijective, is

Question 12

The vector equation of the plane passing through the points  and , is

Question 13

The length of the perpendicular from the origin to the plane passing through the point  and containing the line  is

Question 14

let  and  be position vectors of P and Q, respectively, with respect to O and ,. The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If  are perpendicular then:

Question 15

If , then  is:
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Jun 22NDA