Instructions

For the following questions answer them individually

Question 21

Find the sum of following series:

$$\frac{3}{7}+\frac{4}{7^{2}}+\frac{5}{7^{3}}+\frac{3}{7^{4}}+\frac{4}{7^{5}}+\frac{5}{7^{6}}+...$$

Question 22

There is a shooting event organised by the SBT youth Club to select the best candidate who will qualify to participate in Eklavya championship. The shooting board is designed by using 4 concentric circles of radii 2 inch, 3 inch, 5 inch and 9 inch. What is the probability that the participant will shoot only in the second ring [from the outside] to qualify for Eklavya championship.

Question 23

One can use three different modes of transportation to reach from Dwarka to Ghaziabad. These mode of transportation have varying speeds 20 km/hour, 30km/hour, and 50 km/hour respectively. To reach Ghaziabad from Dwarka, Samiksha took each mode of transportation 1/5th, 2/5th and 2/5th times of her total journey time, while Shrestha took each mode of transportation 1/6th, 1/6th, and 4/6th of the total distance. The percentage by which Samiksha's travel time exceeds Shrestha travel time is nearest to:

Question 24

Find the value of following expression $$\log\sin 40^\circ \log \sin 41^\circ --- \log \sin 99^\circ \log \sin 100^\circ$$

Question 25

A mining work can be undertaken only between 9 AM to 6 PM. If A and B work entirely during these hours, they can complete the work alone in 18 days and 22 days respectively. If A and B both start together on 25th Nov at 12 noon, when should B stop doing the work so that the work will be completed exactly on 09th Dec at 12 noon?

Question 26

For each of the sentences given below, identify which of the two underlined words/phrases is correct:

Question 27

From the options given below, identify correct antonym for the word given in CAPS:

ARMISTICE

Question 28

Question 30

There are four sentences A, B, C, D where the underlined word is used either correctly or incorrectly. Choose the option which lists all the sentences where the underlined word is used correctly in a sentence.

A. A woman could not ** forbear** declaring openly that her faith had saved her.

B.

C.

D. He was a delicate child, in direct contrast to a strong race of