Maths - Online Test
Q1. If 
and 
are parallel vectors,
then [ , 
, ] is equal to
and are parallel vectors,
then [ , , ] is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. A balloon rises straight up at 10 m/s. An
observer is 40 m away from the spot
where the balloon left the ground. The rate of change of the balloon’s angle of
elevation in radian per second when the balloon is 30 metres above the ground.
Answer : Option B
Explaination / Solution:
Q3. If A is a 3× 3 non-singular matrix such that AAT = AT A and B = A−1 AT , then BBT =
Answer : Option C
Explaination / Solution:
Q4. The percentage error of fifth root of 31 is
approximately how many times the percentage error in 31?
Answer : Option B
Explaination / Solution:
Q5. The value of ∑(in + in−1 ) is
Answer : Option A
Explaination / Solution:
Q6. The value of 
is
is
Answer : Option C
Explaination / Solution:
Q7. The differential equation representing the
family of curves y = A cos(x + B),
where A and B are parameters, is
Answer : Option B
Explaination / Solution:
Q8. If f and g are
polynomials of degrees m and n respectively, and if h(x)
= ( f o g )(x) , then the degree of h is
Answer : Option A
Explaination / Solution:
Q9. If sin−1 x + sin−1 y (2π/3) ; then cos−1 x + cos−1 y is equal to
Answer : Option B
Explaination / Solution:
Q10.
A rod of length 2l
is broken into two pieces at random. The probability density function of the
shorter of the two pieces is
The mean and variance of the shorter of the two pieces are respectively
Answer : Option D
Explaination / Solution:
