NPAT Common 2020 QP2

The marks obtained by seven students in a test are: 36, 46, 70, 60, 20, 18, 30.
What is the mean deviation of the data from the mean?

The mean of the following distribution is 25.

What is the value of p?

What is the median of the following distribution?

A coin is biased so that the probability of obtaining a head is 0.25. Another coin is biased so that the probability of obtaining a ta il is 0.4. If both the coins are tossed together, the probability of obtaining at least one head is:

The heights (in cm) of 8 students are recorded as 162, 163, 160, 164, 160, 170, 161, 164. The standard deviation of the data is closest to:

From a point on a bridge across a river, the angles of depressions of the banks on opposite sides of the river are 30° and 60°, respectively. If the height of the bridge from the banks is h metre and the width of the river is k metre, then h: k is equal to:

The expression $$\frac{(1+\tan\theta)\cos\theta}{\sin\theta \tan\theta(1-\tan\theta)+\sin\theta \sec^{2}\theta }$$ is equal to:

$$\frac{\sec ^{6}\theta-\tan^{6}\theta-3\sec^{2}\theta\tan^{2}\theta}{1+2\sin^{2}\theta-\sin^{4}\theta + \cos^{4}\theta} $$ =

The value of $$\frac{\sin^{2}\theta (2+\cot^{2}\theta)-\sin^{2}\theta+2}{\tan^{2}\theta+\cot^{2}\theta-\sec^{2}\theta \cosec^{2}\theta}$$ is:

$$\text{If }\sec\theta+\tan\theta = p, \text{ then}\frac{\sin\theta - 1}{\sin\theta + 1}\text{  is equal to:}$$