Mathematics - Online Test
Q1. Mean deviation from the mean for the observations – 1 , 0 ,4 is
Answer : Option C
Explaination / Solution:
mean=−1+0+43=3/3=1M.D=1n∣∣∑(Xi−X¯)∣∣=2+1+33=2
Q2. The function f (x) = | x | has
Answer : Option A
Explaination / Solution:
Q3.
The function
Answer : Option C
Explaination / Solution:
Because , here f( - x ) = - f( x).Therefore , the given function is an even function.
Q4. If A and B are invertible matrices of order 3 , then det(adj A) =
Answer : Option C
Explaination / Solution:
Let A be a non singular square matrix of order n then
det(adjA)=|A|n-1
here order is 3 so det(adj A)=|A|3-1=|A|2
Q5. If ( x , y ) are the coordinates of point in the plane , then 
represents
represents
Answer : Option C
Explaination / Solution:
The given determinant can be written as 2 
On expansion we get
2[3(8-y) - 4(5 - x) +1(5y - 8x)]
On simplifying the equation 2( - 4x+2y+4) = 0 represents a striaght line.
Q6. Let p and q be two propositions. Then the implication ∼(p↔q) is :
Answer : Option D
Explaination / Solution:
∼(p↔q)≡(p∧∼q)∨(q∧∼p)
Q7. The area bounded by the parabolas y= is equal to
Answer : Option A
Explaination / Solution:
Q8. 
Answer : Option C
Explaination / Solution:
Q9. is equal to
Answer : Option D
Explaination / Solution:
Q10.
The number of solutions of the equation
Answer : Option C
Explaination / Solution:
As no value of x in ( 0, 1) can satisfy the given equation.Thus, the given equation has only one solution.
