Mathematics - Online Test
Q1. The maximum value of sin in the interval is attained at
Answer : Option D
Explaination / Solution:
Q2. 1 + 2 + 3 + .................. n = , is trure
Answer : Option A
Explaination / Solution:
BY the process of mathematical induction , the given statement is true for all natural numbers n.
Q3. Neelam and Nidhi throw with a dice .The chance that both Neelam and Nidhi throw the same number is
Answer : Option A
Explaination / Solution:
TOTAL NO. OF OUTCOMES=62=36
no. of outcomes in which both throws same no.={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}=6
p(both throws same no.)=6/36=1/6
Q4. The lines
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. If A is any square matrix, then
Answer : Option A
Explaination / Solution:
For every square matrix (A + A’ ) is always symmetric.
Q6. The number of all selections which a student can make for answering one or more questions out of 8 given questions in a paper, when each question has an alternative, is:
Answer : Option C
Explaination / Solution:
Since a student can solve every question in three ways- either he can attempt the first alternative , or the second alternative or he does not attemp that question
Hence the total ways in which a sudent can attempt one or more of 8 questions =
Therefore to find the number of all selections which a student can make for answering one or more questions ou tof 8 given questions = [ we will have to exclude only the case of not answering all the 8 questions]
Q7. Equation of a plane that cuts the coordinates axes at (a, 0, 0), (0, b, 0) and (0, 0, c) is
Answer : Option D
Explaination / Solution:
Equation of a plane that cuts the coordinates axes at (a, 0, 0), (0, b, 0) and (0, 0, c) is called the equation of plane in intercept form having intercepts a , b , and c on coordinate axis i.e. at x- axis , y – axis and z – axis respectively is given by : .
Q8. Solution of is
Answer : Option C
Explaination / Solution:
Q9. The complex numbers sinx + i cos2x and cosx – i sin2x are conjugate to each other, for
Answer : Option B
Explaination / Solution:
which is not possible.
Hence we can say there is no solution for the system of equations
Q10. The coefficient of
Answer : Option C
Explaination / Solution:
