List of top Mathematics Questions asked in TG EDCET

If \(3\cos\theta+4\sin\theta=5\), then \(4\sin\theta-3\cos\theta=\)
A bed is sold for Rs. 6400 at a loss of \(20\%\). What is the cost price (in Rupees)?
The value of \[ \frac{1-\tan^2 45^\circ}{1+\tan^2 45^\circ} \] is
The mean of the following data \(21^2,22^2,\ldots,30^2\) is
If a number is chosen from the first 150 natural numbers, then find the probability that the number is either a multiple of \(3\) or \(4\).
Among the following, a value suitable for \(a\) such that the median of \(4,6,a,9,10,19\) will be \(7.5\) is
The population of a city is 131000. If it increases by \(6\%\) in the first year and \(5\%\) in the second year, then the population of the city at the end of two years is
If the point \(P(a,b)\) divides the line joining the points \(A(-3,4)\), \(B(5,2)\) internally in the ratio \(2:3\), then \(b-a=\)
Evaluate \[ \frac{\cot A+\tan B}{\cot B+\tan A}. \]
If \[ x=4+\frac{1}{4}+\frac{2}{4^2}, \] then \(x^3-12x^2+36x=\)
The total surface area of a cube is \(54\text{ cm}^2\), then its side is ___ cm.
If the slope of the straight line joining the points \((2,3)\) and \((5,7)\) is \(m\), then \(9m^2=\)
If \[ \frac{x}{2}+1=\frac{y}{4}+4=\frac{z}{3}+2 \quad \text{and} \quad \frac{x}{16}+\frac{z}{6}=\frac{5}{2}, \] then \(x+y+z=\)
Among the following, the point that does not lie on the circle with centre at origin and radius \(3\) cm is
If angles of a triangle are \((x+10)^\circ\), \((2x+5)^\circ\) and \((3x-15)^\circ\), then the value of \(x\) is
The radii of two concentric circles with centre \(O\) are \(10\) cm and \(6\) cm. If chord \(AB\) of the larger circle is tangent to the smaller circle, then the distance (in cm) of chord \(AB\) from centre \(O\) is
Evaluate \[ 9\left(\log_{27}81+\log_{9}81+\log_{3}243\right). \]
If the G.C.D. of 4850 and 8730 is \(2^a5^b7^c\), then \(3a+2b+5c=\)
If \[ \frac{1}{5}\div\frac{1}{x}=\frac{1}{x}\div\frac{1}{125}, \] then the value of \(x\) is
The ratio of two numbers is \(3:4\). If 8 is added to each number, the ratio becomes \(4:5\). If 10 is subtracted from each of the original numbers, what will be their new ratio?
If \( A(2, 3) \) and \( B(4, 5) \) are the end points of a straight line AB, then the slope of straight line AB is:
Let \( E' \) denote the complementary event of \( E \). If \( P(E) = \frac{1}{13} \), then \( P(E') \) is:
If two six-sided similar dice are rolled, then the probability that the sum of the numbers on the two dice is not equal to 7 is:
Evaluate: \[ \sqrt{\sin^4 x + 4\cos^2 x} - \sqrt{\cos^4 x + 4\sin^2 x} = ? \]
Among the following, the correct picture representation of the number of school teachers in Delhi is:
picture representation of the number of school teachers in Delhi