Puzzles (Set- 64) | Maths & Reasoning

Q1. There are four stacks P, Q, R and S. In each of the stacks, there are three boxes. Each of the stacks is such that P is to the west of Q, Q is to the west of R and R is to the west of S. Each box contains certain number of bottles. Number of bottles in each box from west to east in each stack is given as follows:
Box 1: 36, 96, 21, 9
Box 2: 25, 27, 33, 20
Box 3: 34, 54, 16, 5
Two persons played a game. They have one dice each, which is thrown by each of them simultaneously. According to the outcomes of their respective dices, they change the number of bottles in the given boxes. The dices are thrown and the following conditions are to be followed:
i. If both the persons get an even number, then the number of bottles of box 2 of stack Q is equally divided and shifted into three boxes of stack S.
ii. If both the persons get an odd number, then the number of bottles of box 3 of stack Q is equally divided and shifted in box 1 and box 3 of stack R.
iii. If the first persons get an odd number and the second person gets an even number, then the average of number of bottles of box 1 of both stack P and Q, is added to box 2 of stack P while the number of bottles in box 1 of both stacks P and Q remains same.
iv. If the first person gets an even number and the second person gets an odd number, then the number of bottles of box 3 of stack P is shifted to box 1 of stack S.

i)If both the persons get an even number on the dices then what is the sum of number of bottles of box 1 of stack S and box 3 of stack Q?
a) 78 b) 72 c) 68 d) 70 e) None of these

ii)If they throw the respective dices twice such that in first throw, both get an odd number while in 2nd throw, first person gets an even number and second person gets an odd number then what is the average of number of bottles of box 1 of stack R and box 3 of stack P?
a) 25 b) 22 c) 24 d) 20 e) one of these

iii)If they throw the dice once and the number of bottles in box 2 of stack P is changed to 91 then what kind of digits does the first and second person get on the dices?
a) Both odd b) First even, second odd c) First odd, second even d) Both even
e) None of these

iv)If 5 bottles are added to the box 3 of all stacks then dices are thrown and first person gets an even number while the second person gets an odd number then what is the number of bottles in box 1 of stack S?
a) 48 b) 43 c) 35 d) 39 e) None of these

Q 2. There are 8 persons in the three generation of family. Certain persons of the family sit on a square table such that the persons are facing towards the centre. Persons are only sitting at the corners or the edges. Not more than one person sit at one edge. The following information is known about them,
S sits opposite to Q’s brother such that both sit at the corner and at least two persons sit between them.
R is the mother-in-law of T.
Q is the mother of two children and S is one of them.
There are two persons sitting between S and his father.
T ‘s wife sits opposite to T but not at the corner.
Q sits immediate right of S but not at any corner.
One person sits on the edge opposite to S’s sister but not Q.
S’s sister is not married.
P sits on the table but not at any edge and not adjacent to S’s sister or S’s father.
S and P are married but not each other.