CAT 2025 Lesson : Linear Equations - Past Questions
5. Past Questions
Question 1
The total number of integer pairs (x, y) satisfying the equation x + y = xy is ______. [CAT 2004]
0
1
2
None of the above
Answer: (3) 2
Question 2
Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78 paise, 69 paise and Rs 1.01 to three different persons? [CAT 2003R]
19
20
17
18
Answer: (1) 19
Question 3
A small confectioner bought a certain number of pastries flavoured pineapple, mango and black- forest from the bakery, giving for each pastry as many rupees as there were pastry of that kind; altogether he bought 23 pastries and spent Rs.211; find the number of each kind of pastry that he bought, if mango pastry are cheaper than pineapple pastry and dearer than black-forest pastry. [IIFT 2010]
(10, 9, 4)
(11, 9, 3)
(10, 8, 5)
(11, 8, 4)
Answer: (2) (11, 9, 3)
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