CAT Model Paper 3 Questions and Answers with Explanation Part 11

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Directions for questions 57 - 59: answer the questions based on the following data.

Two bikers from Rowdy Circus, Ramesh & Ravi, have become famous since last few years for their extraordinary talents. Last winter, they had pulled huge crowd in Park Circus area in Kolkata to see their daring performance in a game called Well of Death. The hemispherical well was made of 33 wooden horizontal rings ( and so on, as shown in the diagram) , with a base at the centre

The Hemispherical Well Wooden Horizontal Rings

To come closer to the base, one has to travel to the rings closer to the base. Some gifts were located at each of the rings at 2 pairs of opposite corners such that to consecutive gifts (e. g. , ) were located apart.

Ramesh picked up the gifts , and so on in that order; while Ravi picked up the gifts , and so on in that order. If the gift that both targets coincide, then neither of them pick up that gift.

Q: 57. From which of the following rings did Ramesh pick up no gift at all?

(A)

(B)

(C)

(D) None of these.

Ans: C

Solution:

Both the persons are picking gifts such that the gift numbers are in AP with common difference of in case of Ramesh & in case of Ravi. Total number of gifts 2. Thus, we can find the pattern as follows:

Q_57_1_Both the Persons Are Picking Gifts
Q_57_2_Both the Persons Are Picking Gifts
Q_57_3_Both the Persons Are Picking Gifts
Q_57_4_Both the Persons Are Picking Gifts

The blue coloured cells (written as 1) on the left of a gift denotes the gifts which were common.

Q: 58. Which are the last gifts Ramesh & Ravi picked up before coming to the base and what is the shortest angle between the locations where those were placed?

(A)

(B)

(C)

(D)

Ans: D

Solution:

Both the persons are picking gifts such that the gift numbers are in AP with common difference of 5 in case of Ramesh & 6 in case of Ravi. Total number of . Thus we can find the pattern as follows:

Q_58_1_Both the Persons Are Picking Gifts
Q_58_2_Both the Persons Are Picking Gifts
Q_58_3_Both the Persons Are Picking Gifts
Q_58_4_Both the Persons Are Picking Gifts

The blue coloured cells (written as 1) on the left of a gift denotes the gifts which were common.

Q: 59. What is the total number of gifts collected by both of them together when they arrived at the base?

(A) 35

(B) 41

(C) 47

(D) None of these

Ans: B

Solution:

Both the persons are picking gifts such that the gift numbers are in AP with common difference of 5 in case of Ramesh in case of Ravi. Total number of gifts . Thus we can find the pattern as follows:

Q_59_1_Both the Persons Are Picking Gifts
Q_59_2_Both the Persons Are Picking Gifts
Q_59_3_Both the Persons Are Picking Gifts
Q_59_4_Both the Persons Are Picking Gifts

The blue coloured cells (written as 1) on the left of a gift denotes the gifts which were common.

We can find no of terms in the respective series, since we know the first term, common difference and last term should not be more than 132. Then we have to subtract the common terms from both the series since they did not pick up those gifts. Option (B) .

Q: 60. The sentence below has two blanks followed by four pairs of words as choices. From the choices, select the pair of words that can best complete the given sentence.

Most keenly awaited is ________ that the government is serious about its promise to stop trying to boost consumption and instead ________ investment, currently just 18.4 % of GDP.

(A) Policy, assist

(B) Evidence, encourage

(C) Proof, regulate

(D) Signal, raise

Ans: B

Solution

For the first blank, the government has already made promises. Now people are looking for proof or evidence whether the government will fulfil those promises. So “proof” or “evidence” will work. Policy doesn՚t fit. Signal doesn՚t fit grammatically as an article “a” would be required. For the second blank, we know that investment is currently low and hence raise or encourage would fit.