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In a class, the total numbers of boys an...

In a class, the total numbers of boys and girls are in the ratio 4 : 3. On one day it was found that 8 boys and 14 girls were absent from the class and that the number of boys was the square of the number of girls. What is the total number of students in the class ?

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42
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RESONANCE-EQUATIONS -EXERCISE-2 (PART-I: PREVIOUS ASKED QUESTION FOR PRE RMO)
  1. Let x(1),x(2) , x(3),..........x(2014) be real numbers different from ...

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  2. If real numbers a, b, c, d, e satisfy a+1=b + 2 = c+ 3 = d + 4 = e + 5...

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  3. The equations x^2 - 4x + k = 0 and x^2 + kx -4 = 0 where k is a real n...

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  4. Let a, b and c be real numbers such that a - 7b + 8c = 4 and 8a + 4b -...

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  5. Let a, b and c be such that a + b + c= 0 and P=a^(2)/(2a^(2)+ bc) + b^...

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  6. Suppose x^(2)-x +1 is factor of 2x^(6) - x^(5) + ax^(4) + x^(3)+bx^(2)...

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  7. Let P(x) = (x - 3)(x - 4)(x - 5). For how many polynomials Q(x). does ...

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  8. Find the sum of all those integers n for which n^2+20n+15 is the squar...

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  9. Let a and p be the roots of equation x^2 + x - 3 = 0. Find the value o...

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  10. Let x^3 + ax + 10 = 0 and x^3 + bx^2 + 50 = 0 have two roots in common...

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  11. For real numbers x and y, let M be the maximum value of expression x^4...

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  12. Between 5pm and 6pm, I looked at my watch mistaking the hour hand for ...

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  13. Suppose a, b are positive real numbers such that asqrt(a) + b sqrt(b) ...

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  14. Let a, b be integers such that all the roots of the equation (x^2 + ax...

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  15. In a class, the total numbers of boys and girls are in the ratio 4 : 3...

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  16. If the real numbers x, y, z are such that x^2 + 4y^2 + 16z^2 = 48 and ...

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  17. Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx = c. Find ...

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  18. Determine the sum of all possible positive integers n, the product of ...

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  19. Suppose a, b are integers and a + b is a root of x^2 + ax + b = 0. Wha...

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  20. Integers a, b, c satisfy a + b - c = 1 and a^2 + b^2 - c^2 = -1. What ...

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