11.

Find the value of K for which equation x - Ky =2, 3x + 2y = -5 , has unique solution.

• K$\ne \frac{-2}{3}$

• K=$\frac{2}{3}$

• K $\ne \frac{2}{3}$

• K=$\frac{-2}{3}$

A can do a work in 6 days. B takes 8 days to complete it. C takes as long as A and B would take working together. How long will it take B and C to complete the work together?

• $1\frac{1}{2}$days

• 4 days

• 5 days

• $2\frac{2}{5}$ days 

In an examination, the mean of marks scored by a class of 30 students was calculated as 58.5. Later on, it was detected that the marks of one student was strongly copied as 57 instead of 75. Find the correct mean.

• 51.9
  
  

• 59.1
  
  

• 20.9
  
  

• 28.9

If centroid of the points(3, 5), (6, y)and (-3, 4) is (x, y), then find the value of x and y.

• x=2,y=$\frac{9}{2}$

• x=$\frac{9}{2}$,y=3

• x=2,y= 3
  
  

• x=3,y=2

The polynomial ax³ + bx² + x - 6 has (x+ 2) as a factor and leaves remainder 4 when divided by (x-2) Find the value of a and b.

• a=2,b=0
  
  

• a=1,b=1
  
  

• a=0,b=2
  
  

• a=7,b=5

A non-terminating but recurring decimal is

• an integer
  
  

• a natural number
  
  

• a rational number
  
  

• an irrational number

In the following figure, PAB is a secant and PT is a tangent to the circle. If PT = 5 cm. and PA= 3, then find the measurement of AB.

• $\frac{5}{3}$cm

• $\frac{16}{3}$cm

• 15 cm

• $\frac{11}{3}$cm

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If $\angle$DAC = 32° and $\angle$AOB = 70°, then $\angle$DBC is equal to

• 88°
  
  

• 38°
  
  

• 24°
  
  

• 32°

If $a^{m^n}= {\left(a^m\right)}^n$, then the value of m is

• $\frac{1}{n-1}$

• $n^n$

• $n-1$

• $n^{\frac{1}{n-1}}$

The value of  $\left(1-\frac{1}{5}\right)\left(1-\frac{1}{6}\right)\left(1-\frac{1}{7}\right)....\left(1-\frac{1}{100}\right)$ is 

• $\frac{1}{25}$

• $\frac{1}{50}$

• $0$

• $\frac{1}{100}$