# CAT WORKSHOP [ALGEBRA]

May 29th, 2015
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3. A quadratic function ƒ(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1.What is the value ƒ(x) at x = 10?(1) –119 (2) –159 (3) –110 (4) –180 (5) –1054. How many pairs of positive integers m, n satisfy , where, ‘n’ is

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2.(1) 7 (2) 13 (3) 11 (4) 9 (5) 153. A quadratic function (x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1.What is the value (x) at x = 10?(1) 119 (2) 159 (3) 110 (4) 180 (5) 1054. How many pairs of positive integers m, n satisfy, where, n is an odd integer less than60?(1) 6 (2) 4 (3) 7 (4) 5 (5) 35. A function (x) satisfies (1) = 3600 and (1) + (2) + ... + (n) = n2 f(n), for all positive integersn > 1. What is the value of (9)?(1) 80 (2) 240 (3) 200 (4) 100 (5) 1206. Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and50 Misos. In how many ways can you pay a bill of 107 Misos?(1) 17 (2) 16 (3) 18 (4) 15 (5) 19 8. If a lies between (-9) and 11, then find the greatest value of (11-a)6 (a+9)4?9. Find the sum of the real and

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