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special equation || Quantitative Aptitude || CAT 2021 || 17 May (App update required to attempt this test)
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Question 1
The total number of integer pairs (x, y) satisfying the equation x + y = xy is
Question 2
The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x ≤ y is:
Question 3
P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?
Question 4
If x and y are integers then the equation 5x + 19y = 64 has
Question 5
If |x| < 100 and |y| < 100, then the number of integer solutions of (x, y) satisfying the equation 4x + 7y = 3 is____
Question 6
Five pencils, four pens and three pizzas cost Rs. 118, while 8 pens, 9 pizzas and 7 pencils cost Rs. 254. If the cost price of a pen is Rs. 1 more than the arithmetic mean of cost price of a pencil and a pizza, then find the total cost price of 7 pencils and 7 pizzas.
Question 7
How many different pairs (a, b) of positive integers are there such that a ≤ b and ?
Question 8
The number of different solutions of the equation x + y + z = 12, where each of x, y and z is a positive integer, is
Question 9
Five pens, Four Chocolates and 8 Books together cost Rs. 100, while ten pens, eleven chocolates and 7 books cost Rs. 165. If a person bought 5 pens, 5 chocolates and 5 books, then how much did he pay?
Question 10
How ordered pairs of integers (x, y) are there such that their product is a positive integer less than 100?
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May 17CAT & MBA