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Question 1: A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.
M1 likes fishing and smoking, but hates gambling.
M2 likes smoking and drinking, but hates fishing.
M3 likes gambling, but hates smoking,
M4 likes mountaineering, but hates drinking,
M5 likes drinking, but hates smoking and mountaineering.
M6 likes fishing, but hates smoking and mountaineering.
M7 likes gambling and mountaineering, but hates fishing.
M8 likes smoking and gambling, but hates mountaineering.
Who are the four people selected by the king?
a) M1, M2, M5 and M6
b) M3, M4, M5 and M6
c) M4, M5, M6 and M8
d) M1, M2, M4 and M7
Question 2: Eight people carrying food baskets are going for a picnic on motorcycles.Their names are A, B, C, D, E, F, G, and H. They have 4 motorcycles M1, M2, M3 and M4 among them. They also have 4 food baskets O, P, Q and R of different sizes and shapes and each can be carried only on motorcycles M1, M2, M3 and M4 respectively.No more than 2 persons can travel on a motorcycle and no more than one basket can be carried on a motorcycle. There are 2 husband-wife pairs in this group of 8 people and each pair will ride on a motorcycle together.C cannot travel with A or B. E cannot travel with B or F. G cannot travel with F, or H, or D.The husband-wife pairs must carry baskets O and P. Q is with A and P is with D.F travels on M1 and E travels on M2 motorcycles.G is with Q, and B cannot go with R.Who is travelling with H?
a) A
b) B
c) C
d) D
IBPS PO Quant Formulas & Shortcuts
Answers & Solutions:
1) Answer (D)
Looking at each option and the table. Only Option D satisfies the given condition that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate at least one of the likings of any of the other three persons selected.
2) Answer (C)
It is given in the statements, that C cannot travel with A or B. E cannot travel with B or F. G cannot travel with F, or H, or D. By formulating the table we get
Q is with A and G is with Q => G and Q are travelling together on motorcycle M3
F travels on M1 and E travels on M2 motorcycles.
D is travelling with P on M2 => D and E are traveling together on M2
B cannot go with R => F and B go together on M1
Therefore, C and H go together on M4
So, the table can formed as below :
Hence, C would be travelling with H.