IBPS SO Prelims Exam Model Paper 8

1) E is sitting third to the left of G and they are facing different directions and the total of their jersey number is 46.
(As it is given in the question that the highest prime number that a person is wearing is 29 and there are ten different prime numbers, implies, the possibilities of numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Out of these numbers, only the combination of 17 and 29 forms 46.)
2) The jersey number of E is smaller than that of I.
(Implies, the jersey number of E must be 17 and the jersey number of G must be 29 according to the previous statement.)
3) Both the immediate neighbours of E are sitting on corner seats facing the inward direction.
(Implies, E must be facing the outward direction and accordingly, G must be facing the inward direction. Also, as both the immediate neighbours of E are sitting on the corner seats, implies, E must be sitting on the shorter edge.)4) Only one person is sitting between G and J.
5) H is sitting second to the left of J and H is facing a different direction than G.
(If we place J to the second to the left of G then H would be sitting to the immediate right of E facing the same direction as G which is not possible. Hence, J is sitting second to the right of G and H would be sitting second to the left of J which is only possible if J is facing the outward direction. Also, H is facing the outward direction because G is facing the inward direction.
Now, the person sitting to the immediate left of G would be facing outward direction because no three consecutive people are facing the same direction. Also, the person sitting between H and J must be facing the inward direction because both J and H are facing the outward direction.)6) The jersey number of H is 6 less than that of the person who is sitting third to his left.
(Clearly, E is sitting third to the left of H and his jersey number is 17, implies, the jersey number of H is 11.)
7) One of the immediate neighbours of J is facing the same direction as H and his jersey number is 8 more than that of H.
(The person sitting to the immediate left of J is facing the inward direction, implies, the person sitting to the immediate right of J must be sitting the outward direction which is the same direction as H is facing. Also, he must be wearing jersey number 19. Also, now that we have identified the five people who are facing the outward direction, implies, the person sitting to the immediate left of H is facing the inward direction.)8) The jersey number of C is 17 more than that of D who is sitting second to the left of E.
(The difference between two prime numbers can be odd only in the case when one of the prime numbers is 2. Hence, the jersey number of D is 2. It further implies that the jersey number of C is 19.)9) Only two people are sitting between F and D.
(It is only possible if F is sitting third to the right of D.)
10) Only one person is sitting between A and F and the sum of their jersey numbers is 18.
(Clearly, H is sitting second to the left of F, implies, A is sitting second to the right of F. Also, there are two pairs of prime numbers i.e. (5, 13) and (7, 11). Neither F nor A is wearing 11 number jersey (because H is wearing 11 number). Hence, F and A are wearing 5 and 13 jersey numbers but not necessarily in the same order.)11) The jersey number of A is 10 more than that of B.
(Implies, the jersey number of A cannot be 5 as it is 10 more than that of B. Hence, the jersey number of A is 13, the jersey number of F is 5 and the jersey number of B is 3.)
12) The jersey number of the person sitting to the immediate left of F is more than that of F.
(Implies, B is not sitting to the immediate left of F as the jersey number of B is 3. Hence, I is sitting to the immediate left of F as it is the only person left to be placed. Also, B is sitting between H and J as it is the only seat left.)(Now, there are only two jersey numbers left to be mapped i.e. 23 and 7. As the jersey number of E is less than that of I (According to statement 2), implies, the jersey number of I is 23 and the jersey number of J is 7 as it is the only possibility.)Clearly, E and J are sitting on the shorter edge of the rectangle and their jersey numbers are 17 and 7 respectively.
Hence, the sum of the jersey numbers of the people sitting on the shorter edges of the rectangle is 24.