Logical Reasoning Capsules  Edwin Jose, CAT DILR 100 Percentiler  Set 9

Directions: Answer the following questions on the basis of information given below:
The following table shows the marks obtained by four students in three Mock CAT tests. The four students Abhishek, Akshay, Amitabh and Aamir are disguised as A, B, C and D in no particular order.
Additional information: The maximum possible marks in each Mock CAT were 75.
 In each Mock CAT, a correct answer carried +3 marks and an incorrect answer carried 1 mark.
 Abhishek scored the lowest marks in Mock 1 and Aamir scored the highest marks in Mock 2 among the four students.
 Abhishek's total score is more than Amitabh's total score.
 Akshay's total score is less than Amitabh's total score.
 A’s total score is a multiple of 6.
(1) How many different total scores are possible for Akshay?
(a) 101
(b) 97
(c) 98
(d) 100(2) What is the name of the person disguised as B?
(a) Aamir
(b) Abhishek
(c) Akshay
(d) Either (a) or (b)(3) How many different values are possible for ‘a’?
(a) 7
(b) 8
(c) 9
(d) 15Solutions:
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.
(1) Option 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(2) Option A
(3) Option 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.Directions: Answer the following questions on the basis of information given below:
Four people M1, M2, M3 and M4 own four different brands of bikes B1, B2, B3 and B4 and four different brands of cars C1, C2, C3 and C4 respectively. Each person likes exactly one of the four bikes and one of the four cars mentioned. Each bike and each car is liked by exactly one of the four persons. Further it is known that:I. M1 likes the bike of the person who likes C1 and B4.
II. The person who likes B3 is the only person who likes his own car and he is not M3.(1) Which bike is liked by M2?
(a) B1
(b) B2
(c) B3
(d) B4(2) Which car is liked by M3?
(a) C1
(b) C2
(c) C3
(d) C4(3) Which of the following statements is correct?
(a) M1 likes M2’s bike and M4’s car.
(b) B4‘s owner likes C1.
(c) The person who likes C3 also likes B2.
(d) C4 is liked by the owner of B3.Solutions:
(1) Option D
(2) Option B
(3) Option C