Mix Test 11...

What number must be added to each of the numbers 5, 9, 17, 27 to make new numbers in proportion?

\(10^{th}\) term from the end of the AP 4, 9, 14, … … … . , 254 is

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them.

The probability that the drawn card is neither a red card nor a queen is :

If tan \(\theta\) \(=\frac{18}{5}.\) Then the value of \(\frac{(2+2\sin\theta)(1-\sin\theta)}{(1+\cos\theta)(2-2\cos\theta)}\) is

If the sum of the roots of the equation \(\mathrm{3x^2 - (3k - 2)x - (k - 6)}\) is equal to the product of its roots. Then the value of k is

If \(\alpha,\) \(\beta\) are the zeroes of the polynomial \(\mathrm{(x^2 - x - 12)}\). Then quadratic equation whose zeroes are \(2\alpha\) and \(2\beta\) is

The age-wise participation of students in the annual function of a school is shown in the following distribution:

The sum of frequency is 181.

Value of x is :

The age-wise participation of students in the annual function of a school is shown in the following distribution:

The sum of frequency is 181.

Modal class is :

The age-wise participation of students in the annual function of a school is shown in the following distribution:

The sum of frequency is 181.

Mode of the given data is : (in years)

The age-wise participation of students in the annual function of a school is shown in the following distribution:

The sum of frequency is 181.

Mean of the given data is:

Solution of following pair of equations is

\(\frac{35}{\mathrm x+y}+\frac{14}{\mathrm x-y}=19;\) \(\frac{14}{\mathrm x+y}+\frac{35}{\mathrm x-y}=37\)