A tea taster was assigned to rate teas from six different locations — Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal. These teas were placed in six cups, numbered 1 to 6, not necessarily in the same order.

The tea taster was asked to rate these teas on the strength of their flavour on a scale of 1 to 10. He gave a unique integer rating to each tea.

Some other information is given below:

Question 1

What was the number of the cup that contained tea from Ooty?

(Answer to be entered)

Question 2

If the tea from Munnar did not get the minimum rating, what was the rating of the tea from Wayanad?

A. 3
B. 5
C. 1
D. 6

Question 3

If cups containing teas from Wayanad and Ooty had consecutive numbers, which of the following statements may be true?

A. Cup 5 contains tea from Assam
B. Cup 1 contains tea from Darjeeling
C. Tea from Wayanad has got a rating of 6
D. Tea from Darjeeling got the minimum rating

Question 4

What was the second highest rating given?

(Answer to be entered in the blank.)

In an 8 × 8 chess board, a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column, or in any diagonal position in any of the four possible directions, provided there is no other piece in between in the path from the queen to that piece.

The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top).

The position of a piece is given by the combination of column and row labels.

For example, position c5 means that the piece is in the cᵗʰ column and 5ᵗʰ row.

Question 5

If the queen is at c5, and the other pieces are at positions c2, g1, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.

A. 2
B. 3
C. 4
D. 5

Question 6

If the other pieces are only at positions a1, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack?

A. f8
B. a7
C. c1
D. d3

Question 7

If the other pieces are only at positions a1, a3, b4, d7, h7 and h8, then from how many positions the queen cannot attack any of the pieces?

A. 0
B. 3
C. 4
D. 6

Question 8

Suppose the queen is the only piece on the board and it is at position d5. In how many positions can another piece be placed on the board such that it is safe from attack by the queen?

A. 32
B. 35
C. 36
D. 37

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Set 1

Let's take cases:

1. The lowest rating is 4.
If the lowest rating is 4, then the other ratings will be in the range 5–10.

From this, we need 4 odd and 1 even numbers.

This is not possible as there are only 3 odd numbers from 5–10.

Thus, the lowest rating is not 4.

2. The lowest rating is 2.
If the lowest rating is 2, then the other ratings will be in the range 3–10.

From this, we need 4 odd and 1 even numbers.

This is possible when the odd ratings are 3, 5, 7 and 9.

We are given that the highest rating is not even. Thus, rating 10 is not possible.

We are also given that the rating of tea in Cup 3 was double the rating of the tea in Cup 5.

Thus, the rating of the tea in Cup 3 must be an even number.

Thus, the tea in Cup 5 must be an odd number.

Only one such pair is possible: 3 and 6.

Thus, the tea in Cup 2 got the rating of 2.

The tea in Cup 3 got a rating of 6 and the tea in Cup 5 got a rating of 3.

We are given that:

Tea in Cup 3 got a higher rating than that in Cup 1.

Thus, the tea in Cup 1 got a rating of 5.

Cup 6 contained tea from Himachal and the tea from Ooty got the highest rating.

Thus, Cup 6 got a rating of 7 and Cup 4 got a rating of 9.

Check the below image for the table

Question 1

Second highest rating = 7

✅ Answer: 7

Question 2

Ooty received the highest rating (9) and was not in Cup 3.

From the complete arrangement, Ooty is in Cup 4.

✅ Answer: 4

Question 3

Munnar < Wayanad < Assam

and Munnar is not the minimum-rated tea, the only feasible assignment is:

Therefore,

✅ Answer: B (5)

Question 4

It is given that the rating of Assam > Wayanad > Munnar.

Hence, since Wayanad and Ooty are in consecutive cups, Wayanad can be either in Cup 3 or Cup 5.

So, Wayanad can only be in Cup 5; then Munnar will be in Cup 2. Therefore, Darjeeling and Assam can be in Cups 1 and 3 in any order.

Hence, B is a possibility.

Set 2

Question 5

Queen at c5 attacks:

It does not attack g3.

✅ Answer: 4

Question 6

From d3, queen attacks:

Total = 3, which is maximum among the options.

✅ Answer: D

Question 7

There are 4 positions from which the queen cannot attack any of the given pieces.

✅ Answer: 4

Question 8

Queen at d5 attacks:

Total attacked = 27

Safe positions = 64 - 1 queen square - 27 attacked squares = 36

✅ Answer: 36