Average Rate of Change

Q.

The value of $(127{)}^{1/3}$ to four decimal places is

1. 5.0267

2. 5.4267

3. 5.5267

4. 5.001

Q.

Mowgli, while trying to escape from Shere Khan, ran 500 metres in 10 seconds to reach near the river and swam 200 metres in 20 seconds before climbing the trees. Then he climbed 100 metres in 10 seconds before finding peace on top of a tree.

Statement: Mowgli’s average speed in this journey is $(\frac{500}{10}+\frac{200}{20})+\frac{100}{10})\times \frac{1}{3}=\frac{70}{3}$ metres per second , which is the averages of speeds.

1. True

2. False

Q.

Which of the following is the average rate of change of f(x) with respect to x over the interval
[a, a+h]?

1. $\frac{f\left(a\right)-f(a+h)}{h}$

2. $\frac{f\left(a\right)-f(a+h)}{t}$

3. $\frac{f(a+h)-f\left(a\right)}{h}$

4. $\frac{f(a+h)-f\left(a\right)}{t}$

Q.

The approximate value of square root of 25.2 is

1. 5.01

2. 5.02

3. 5.03

4. 5.04

Q. Q.10. The sum of three prime numbers is 100. If one of them exceeds the other by 36, then largest number is
(1) 73
(2) 91
(3) 67
(4) 57