IIFT 5th Dec 2021 Slot 1


For the following questions answer them individually

Question 21

Find the sum of following series:

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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.

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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:

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Question 24

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

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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?

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Question 26

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

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Question 27

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

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Question 28

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

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Question 29

Identify the options with all correct spellings:

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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. Forbear to say more on a subject which is forbidden.
C. Forbear to judge, for we are sinners all.
D. He was a delicate child, in direct contrast to a strong race of forbears, and inherited from his mother a refined, retiring disposition and a love for books.

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