Mathematics - Online Test
Q1. 1/cos 80̊ - √3/sin 80̊ =
Answer : Option D
Explaination / Solution:
Q2. The area of ellipse is
Answer : Option D
Explaination / Solution:
Area of standard ellipse is given by :πab.
Q3. The distance of the point ( 3, 4, 5) from X- axis is
Answer : Option B
Explaination / Solution:
The distance of the point ( 3, 4, 5) from X- axis is
let L be the foot of perpendicular from the point ( 3, 4, 5) to X axis ,then coordinate of L will be (3,0,0) [ because on X axis y and z coordinate are zero]
then distance of the point ( 3, 4, 5) from X- axis i.e. from L (3,0,0) is given by =
Q4. If A and B are symmetric matrices of the same order, then
Answer : Option C
Explaination / Solution:
If A and B are symmetric matrices of the same order, then AB + BA is always a symmetric matrix.
Q5. If ∫ f
(x)dx = g(x) + c, then ∫ f (x)g′(x)dx
Answer : Option A
Explaination / Solution:
Q6. in + in+1 + in+2 + in+3 is
Answer : Option A
Explaination / Solution:
Q7. The value of 
is
is
Answer : Option A
Explaination / Solution:
Q8. The sum of the digits at the 10th
place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is
Answer : Option B
Explaination / Solution:
Q9. The instantaneous rate of change at t = 1 for the function f (t) = is
Answer : Option C
Explaination / Solution:
⇒f′(1)=−e−1+e−1=0
Q10. Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is
Answer : Option D
Explaination / Solution:
