Mathematics (Ba...

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square like 4,9….is 

In a circle of diameter 42cm ,if an arc subtends an angle of \(60^{\circ}\) at the centre where \(\pi\) =22/7,then the length of the arc is

If sin \(\theta\) = x and sec \(\theta\) = y , then tan \(\theta\) is

The pair of linear equations y = 0 and y =-5 has

A fair die is thrown once. The probability of even composite number is

8 chairs and 5 tables cost Rs.10500, while 5 chairs and 3 tables cost Rs.6450. The cost of each chair will be

If \(cos\,\theta\) + \(cos^2\theta  \) =1,the value of \(sin^2\theta+sin^4\theta\) is

The decimal representation of \(\frac{23}{2^3\times5^2}\) will be

The LCM of \(2^3\times3^2\) and \(2^2\times3^2\) is

The HCF of two numbers is 18 and their product is 12960. Their LCM will be

The co-ordinates of the point P dividing the line segment joining the points A (1,3) and B (4,6) internally in the ratio 2:1 are

The prime factorisation of 3825 is

In an isosceles triangle ABC, if AC = BC and \(AB^2=2AC^2\), then the measure of angle C will be

If -1 is a zero of the polynomial p(x)=\(\text x^2\) -7x-8 , then the other zero is

In a throw of a pair of dice, the probability of the same number on each die is

The mid-point of (3p,4) and (-2,2q) is (2,6) . Find the value of p+q

The decimal expansion of \(\frac{147}{120}\) will terminate after how many places of decimals?

The perimeter of a semicircular protractor whose radius is ‘r’ is

If P (E) denotes the probability of an event E, then

In \(\triangle\)ABC, \(\angle\)B = \(90^{\circ}\) and BD \(\perp\) AC. If AC = 9cm and AD = 3 cm then BD is equal to

The pair of linear equations 3x + 5y = 3 and 6x + ky = 8 do not have a solution if

If the circumference of a circle increases from 2\(\pi\) to 4\(\pi\) then its area _____ the original area.