XAT 2024 QADI Set 1 (2 Questions with Solutions)

Aman has come to the market with Rs. 100. If he buys 5 kilograms of cabbage and…

XAT 2024 · Quantitative Ability and Data Interpretation · 2 questions

Aman has come to the market with Rs. 100. If he buys 5 kilograms of cabbage and 4 kilograms of potato, he will have Rs. 20 left; or else, if he buys 4 kilograms of cabbage and 5 kilograms of onion, he will have Rs. 7 left. The per kilogram prices of cabbage, onion and potato are positive integers (in rupees), and any type of these vegetables can only be purchased in positive integer kilogram, or none at all.

Question 1

Aman decides to buy only onion, in whatever maximum quantity possible (in positive integer kilogram), with the money he has come to the market with. How much money will he be left with after the purchase?

A. Rs. 12
B. Rs. 9
C. Rs. 7
D. Rs. 5
E. Re. 1

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Question 2

Aman decides to buy only onion and potato, both in positive integer kilogram, in such a way that the money left with him after the purchase will be insufficient to buy a full kilogram of either of the two vegetables. If all such permissible combinations of purchases are equally likely, what is the probability that Aman buys more onion than potato?

A. 3/10
B. 5/6
C. 2/9
D. 7/20
E. 4/10

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