If $\frac{5}{2} - \left(\frac{6}{5}\right)\left(x - \frac{15}{2}\right)$ = $-\frac{x}{5}$, then what is the value of x?1). $-\frac{23}{2}$2). $\frac{13}{2}$3). $-\frac{13}{2}$4). $\frac{23}{2}$
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1. $If\ (a+\frac{1}{a})^{2}=3,\ then\ the\ value\ of\ a^{3}+ \frac{1}{a^{3}}\ will\ be\ $
2. The ratio of the angles $\angle A$ and $\angle B$ of a non-square rhombus ABCD is 4:5,then the value of $\angle C$ is:
3. The L.C.M. of (2x2 - 3x - 2) and (x3 - 4x2 + 4x) is ________
4. In the following question two equations are given. You have to solve these equations and determine relation between x and y. I. 3x2 – 10x – 77 = 0 II. 3y2 – 26y – 9 = 0
5. What approximate value will come in the place of question mark (?) in the following questions ? (You are not expected to find exact value.)
6. \(\sqrt {\rm{a}} - \frac{1}{{\sqrt {\rm{a}} }} = 1\) then the value of \({\rm{a}} + {\rm{\;}}\frac{1}{{\rm{a}}}\) is:
7. In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer. I. 15x2 – 58x + 48 = 0 II. y2 – 30y + 161 = 0
8. If \({\rm{x}} + \frac{1}{{\rm{x}}} = - 2,\) then find the value of \({{\rm{x}}^{531}} + \frac{1}{{{{\rm{x}}^{532}}}}\)
9. If $\frac{(5x - y)}{(5x + y)}$ =$\frac{3}{7}$, then what is the value of $\frac{(4x^{2} + y^{2} - 4xy)}{(9x^{2} + 16y^{2}+ 24xy)}$?
10. The sides of a triangle are in the ratio of 7:9:12. The difference between the lengths of largest and smallest sides is 15 cm. The length of the largest side would be:
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