# Sadisha Maths Talent Test Notifications, Practice papers and Results

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## 2023

1) There are 5 pairs of integers {(0, -1), (-1, 0), (0, 0), (0, 1), (1, 0)} that satisfy the condition: x2 + y2 < 2. How many pairs of integers (x, y) exist such that x2 + y2 < 6?

2) A sequence F1, F2, F3 ... follows the pattern: Fn = Fn-1 + Fn-2. That is, any term after the second one, is the sum of its previous two terms. Example: 1, 2, 3, 5, 8, 13, 21, 34, ... . If F1=4, F7=37, what is F3?

3) If sum of 5 continuous odd numbers is 455, what is the middle number of them?

4) Ratio of three numbers is 1:2:3 and the sum of their cubes is 4500. What is the smallest of them?

5) In an election contested by two parties, Party A secured 56% of the total votes. If party B got 176000 votes and there are no invalid votes, by how many votes did party B lose the election?

6) Let x be a positive integer such that 11x + 96 is divisible by x. How many values of x are possible ?

7) In the game of cricket, using only 1s, 4s and 6s, irrespective of the order of the runs scored, a batter can score 8 runs in 4 ways: {1-1-1-1-1-1-1-1, 1-1-1-1-4, 4-4, 1-1-6}. In how many ways can she score 18 runs the same way?

8) The average age of a five member family is 32 years in 2023. One of the family members got married and the age of the new family member is 26 years. What will be average age of the family after 9 years?

9) If the largest angle in a triangle is 80 degrees, what is the least possible value of the smallest angle of the triangle?

10) a and b are positive integers. a2 + ab + a = 40, and a + b = 9, what is a + 2b?