Mathematics - Online Test
Q1. The nth terms of the series 4+14+30+52+80+114+….. is =
Answer : Option B
Explaination / Solution:
When n = 1 we get 3. When n = 2 we get 12+2= 14...
Q2. Three prizes are distributed among three persons at random. The chances that none of the persons gets all the prizes is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. The equation 
represents
represents
Answer : Option B
Explaination / Solution:
The equation 
which represent generally YZ plane i.e. X=0 plane
which represent generally YZ plane i.e. X=0 plane
Q4. The system of linear equations ax+ b y= 0, cx + dy = 0 has a non-trival solution if
Answer : Option A
Explaination / Solution:
The given system of equations has a non – trivial solution if :
Q5. If then is equal to
Answer : Option C
Explaination / Solution:
Q6. The number of ways, in which a student can choose 5 courses out of 8 courses, when 2 courses are compulsory, is
Answer : Option B
Explaination / Solution:
Total number of courses available=8
Number of courses which are not compulsary=8-2=6
Since two courses are compulsory a student can choose them in different ways.
The remaining 3 courses can be chosen from the 6 non-compulsory courses in
Therefore total number of ways=.=
Q7. In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 2x – 2y + 4z + 5 = 0 and 3x – 3y + 6z – 1 = 0
Answer : Option B
Explaination / Solution:
We have,
2x – 2y + 4z + 5 = 0 and 3x – 3y + 6z = 0 . Here ,
Therefore , the given planes are parallel.
2x – 2y + 4z + 5 = 0 and 3x – 3y + 6z = 0 . Here ,
Therefore , the given planes are parallel.
Q8. The complex number z which satisfies lies on
Answer : Option C
Explaination / Solution:
which is the X-axis.
Q9. Differential equation of the family of parabolas having vertex at origin and axis along positive y-axis is
Answer : Option B
Explaination / Solution:
Q10. The 1st three terms in the expansion of are
Answer : Option A
Explaination / Solution:
