# CAT LRDI Questions [Difficult] SET

Each of eight students – Akash, Balu, Chakri, Diren, Ehsaan, Fatima, Giri and Hari – is of a different height. All of them are standing in a row, facing in the same direction, from left to right, in the increasing order of their heights, such that the shortest person is at the extreme left. Three of them are from 1st standard, three from 2nd standard and two from 3rd standard.

1. Akash, the second tallest, is not from 1st standard and Balu, who is the fourth tallest, is from 2nd standard.
2. Ehsaan is from 2nd standard but Chakri is not from 3rd standard.
3. Hari is taller than Giri but shorter than Balu, while Diren is shorter than Akash.
4. Chakri is shorter than Giri but taller than Fatima.
5. Neither the shortest nor the second shortest student is from 1st standard.

Q1. Which two students from the same standard are adjacent to each other?

1. Hari and Balu
2. Balu and Giri
3. Giri and Hari
4. None of the above

Q2. Which of the following statements is definitely true?

1. Each 2nd standard student is next to at least one 3rd standard student.
2. Each 3rd standard student is next to at least one 2nd standard student.
3. No two students of the same standard are adjacent to each other.
4. All of the above

Q3. How many students belonging to either 1st standard or 2nd standard have an odd number of students standing on their left?

1. 0
2. 2
3. 4
4. None of the above

Q4. How many students are taller than Hari but are not from the same standard as him?

1. 4
2. 3
3. 2
4. 1

Let the order of the persons based on their heights is as follows. Here, 1 represents the shortest and 8 represents the tallest. From (i), we get From (iii), H is taller than G but shorter than 8. Also from (iv), C is shorter than G but taller than F. Hence, we get Also, D is shorter than A. Hence, E must be the tallest. The f‌inal order must be as follows. Given. B and E are from 2nd standard Also C is not from 3rd standard and neither the shortest nor the 2nd shortest (is, F and C) is from 1st standard.

$\rightarrow$ C is also from 2nd standard. As three are from 1st standard and two are from 3rd standard F and A are from 3rd standard (as they are not from 1st standard) and D, G and H are from 1st standard.

Q1. Only G and H are adjacent as well as from the same standard is 1st standard. Choice (3)

Q2. B, a 2nd standard student, is not adjacent to a 3rd standard student. Therefore, (1) is false.

Both A and F (i.e.. 3rd standard students) are adjacent to 2nd standard students. Therefore, (2) is true

G and H are from the same standard and are adjacent to each other. (3) is false. Choice (2)

Q3. By observation. C. H, D and E satisfy the required condition. i.e., four students. Choice (3)

Q4. Four students are taller than Hari. Of these four students three belong to a different standard. Choice (2)