For questions 8 to 10:
Let the player who has played the maximum number of
matches be Player 1 and the second highest number of
matches be Player 2 and so on for each team.
Total runs scored by each of the players are:
Team 1:
Player 1 = 350 × 42 = 14700
Player 2 = 170 × 43 = 7310
Player 3 = 140 × 52 = 7280
Total score by the three players = 14700 + 7310 + 7280
= 29290
Team 2:
Player 1 = 300 × 46 = 13800
Player 2 = 290 × 29 = 8410
Player 3 = 160 × 40 = 6400
Total score by the three players = 13800 + 8410 + 6400
= 28610
Team 3:
Player 1 = 320 ×33 = 10560
Player 2 = 270 × 37 = 9990
Player 3 = 240 × 32 = 7680
Total score by the three players = 10560 + 9990 + 7680
= 28230
Team 4:
Player 1 = 340 × 40 = 13600
Player 2 = 240 × 45 = 10800
Player 3 = 230 × 34 = 7820
Total score by the three players = 13600 + 10800 + 7820
= 32220.
8. d Team 4 has scored the maximum runs through the
mentioned players.
9. b Only 3 players have scored less than 9,000 runs even
after playing more than 200 matches.
10. c Player 1 and Player 2 of Team 4 have better averages
than Player 2 of Team 3.
Runs scored by Player 1 and Player 2 of Team 4
= 13600 + 10800 = 24400
Matches played by them = 340 + 240 = 580
Average score =
24400/580
=
42.07
For questions 24 to 26:
Aamir is either A or B. Accordingly, Abhishek would be either
B or A. Therefore, Amitabh and Akshay are disguised as C and
D. As the maximum possible marks in each Mock Cat were 75,
the total marks obtained by C are definitely more than the total
marks obtained by D. Therefore, C is Amitabh and D is Akshay.
Let us assume that Abhishek is disguised as B and the marks
scored by Abhishek in Mock 1 are x.
∴x + 87 > 138 or x > 51 which would mean that Abhishek
could not score the lowest in Mock 1. Hence, the assumption
is incorrect and so Abhishek must be disguised as A and
Akshay as B.
24. b Let's assume that Akshay, who is disguised as D,
score p marks in Mock 3.
So his total score d = 63 + p
As we know that d < c
63 + p < 138
or p < 75
All the scores from –25 to +75 are possible in any of
the tests, except 70, 73 and 74.
Therefore, different scores possible for Akshay
= 101 – 3 – 1 = 97
25. a
26. a Abhishek is disguised as A. Let's assume that Abhishek
scores q marks in Mock 2. As Aamir scored the highest
in Mock 2, q < 62 and 47 + 72 + q > 51 + 59 + 28.
∴19 < q < 62
Abhishek's score is a multiple of 6.
∴ 119 + q needs to be a multiple of 6.
∴ q = 6K + 1, where K is a whole number.
19 < 6K + 1 < 62
∴4 ≤ K ≤ 10
Therefore, 7 different values are possible for a.
For questions 27 to 29:
Let the fee (in Rs. lakhs) demanded by Careena, Carishma,
Cashmira and Catrina be a, b, c and d (not necessarily in that
order).
Let the fee (in Rs. lakhs) demanded by Coena be e.
Also, either Z or Y must have demanded Rs. 1123 lakhs as the
prices demanded by X, U and V are already given.
Let e = 1123.
a + b = c + d.
It can be seen that 2397 – 2379 = 18
and 18 + 1213 = 1231.
So, 1231 + 2379 = 2397 + 1213.
Also, 1201 < 1231 < 2288.
So, 1231 is one such acceptable value.
Coena must have demanded the fee of Rs. 1123 lakhs and so
she must be either Z or Y (as concluded above).
56. a Irrespective of whether a person is from Jupiter or
Earth, he would always say that he is not from Jupiter.
Hence, Sharad has spoken the truth about Lallu. But
Budha says that Sharad is from Jupiter (and hence a
lier). So Budha has definitely lied and Budha himself
must be from Jupiter.
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