Algebra Miscellaneo...

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# Algebra Miscellaneous

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1. Given the system of equations 3x + ky = 1 and 6x + 3y = 2. For which values of k does this system have infinite solutions?

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In the expansion of (a + b + c)20, find

A.Number of terms?
B. Sum of the coefficients

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If a + b + c = 6, find the maximum value of a3b2c, where all a, b and c are positive real

numbers.

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Both x2 + 16x – q = 0 and x2 – 11qx + 25 = 0 have real roots. The number of positive integral values of q is _____ .

A. 39     B.70      C. 60      D. 64

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The equation 5x + 7y = k has 7 solutions in which both x, y are non-negative integers. What is the minimum value of k?

A. 210 B. 280 C. 223 D. 290

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The sum of the first eight terms of a geometric progression is 510 and the sum of the first four terms of the geometric progression is 30. Find the first term of the geometric progression, given that it is positive.

@raman1729
1st term=2

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Let A = {1, 2, 3, 4, 5, 6, 7} and B = {8, 9}. The number of onto functions defined from A to B is _________

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In how many ways can 144 be divided into two parts, such that one part when divided by 5 leaves a remainder of 4, whereas the other part when divided by 8 leaves a remainder of 2?

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Nice conversation, Algebra used to be my favorite chapter in Maths.

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