Mathematics - Online Test
Q1. If cos 28̊ + sin 28̊ = k3, then cos 17̊ is equal to
Answer : Option A
Explaination / Solution:
Q2. The area of the loop between the curve y = a sin x and the x – axis and x= 0 , x=π. is
Answer : Option D
Explaination / Solution:
Required area =
∫0πasinxdx=a[−cosx]π0=a(−cosπ+cos0)=a(1+1)=2a
Q3. The direction cosines of X -axis are
Answer : Option B
Explaination / Solution:
As we know that if a lines makes angles a , b and c with X-axis , Y-axis and Z-axis respectively then direction cosines are given by < cos a , cos b ,cos c >
In our case line is X-axis itself which we know makes angle of 0 , 90 , 90 with X-axis , Y-axis and Z-axis respectively then direction cosine will be
<cos 0 , cos 90, cos 90>
= < 1 0 0 >
Q4. The number of all possible matrices of order 3×3 with each entry 0 or 1 is
Answer : Option C
Explaination / Solution:
The number of elements in a 3 X 3 matrix is the product 3 X 3=9.
Each element can either be a 0 or a 1.
Given this, the total possible matrices that can be selected is 29=512
Q5. If 
, then the value of k is
, then the value of k is
Answer : Option C
Explaination / Solution:
Q6. The value of ∑(in + in−1 ) is
Answer : Option A
Explaination / Solution:
Q7. The value of 
is
is
Answer : Option C
Explaination / Solution:
Q8. In an examination there are three multiple choice questions and each question has 5 choices .
Number of ways in which a student can fail to get all answer correct is
Answer : Option B
Explaination / Solution:
Q9. If the graph of a differentiable function y = f (x) meets the lines y = – 1 and y = 1, then the graph
Answer : Option C
Explaination / Solution:
Since the graph cuts the lines y = -1 and y = 1 , therefore ,it must cut y = 0 atleast once as the graph is a continuous curve in this case.
Q10. A number is selected from the set { 1, 2, 3,..., 20 }. The probability that the selected number is divisible by 3 or 4 is
Answer : Option C
Explaination / Solution:
