If 2x - 2(3 + 4x) < -1 - 2x > -$\frac{5}{3}$- $\frac{x}{3}$; then x can take which of the following values?1). 12). 23). -24). -1
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1. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. x2 - 12x - 160 = 0 II. y2 - 10y - 144 = 0
2. The value of x for which the expressions 7x + 13 and 13x - 7 become equal is _____ .
3. A and B solved a quadratic equation. In solving it, A made a mistake in the constant term and obtained the roots as 6 and 2, while B made a mistake in the coefficient of x only and obtained the roots as -7 and -1. Find the correct roots of the equation?
4. The bowling average of a cricketer was 13. He improves his bowling average by 2 points when he takes 6 wickets for 30 runs in his last match. The number of wickets taken by him before the last match was
5. Given f(x) = 5x3 + 14x2 – 10x + 9. Given the divisor is (x + 1), what should be added or subtracted from f(x) so as to make it exactly divisible by the divisor?
6. If x2 + 5x + 6 = 0, then the value of \(\frac{{2{\rm{x}}}}{{{{\rm{x}}^2} - 7{\rm{x}} + 6}}\) is
7. In a $\triangle ABC$, AB = BC,$\angle B$ = $x^{0}$ and $\angle A$ = $(2x-20)^{0}$. Then $\angle B$ is
8. If $p^{3}-q^{3}$ = (p - q) ( $(p-q)^{2}$ + x p q ) then value of x is
9. Two companies offer their product at different prices while trying to be competitive. If a customer buys 10 units each of both companies he spends Rs. 100 less than if buys all the products of the first company. If instead he buys 5 units of first company product and 10 products of second he pays Rs. 2000 in total. What is unit price of product of each company?
10. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I.√841 x + 522 = 1305 II.√1156 y + 272 = 1428
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