Mathematics - Online Test
Q1. For each is divisible by :
Answer : Option B
Explaination / Solution:
When n = 1 we have a + b.And the subsequent substitution of n as 2,3,... will result in the expression whose factor is a + b.
Q2. If f (x) is a polynomial of degree m (⩾1) , then which of the following is not true ?
Answer : Option D
Explaination / Solution:
As all the three remaining statements are true for the given function.
Q3. The eccentricity of the conic is
Answer : Option D
Explaination / Solution:
Given 9x2 - 16y2 = 144
Dividing throughout by 144 we get,
- = 1
This implies a2 = 16 and b2 = 9
e = =
Q4. Particular solution of a given differential equation
Answer : Option C
Explaination / Solution:
Particular solution of a given differential equation does not contain arbitrary constants i.e. a,b ,c etc since the value of those arbitrary can be found out by subsituting the given values.
Q5.
Shortest distance between the lines and is
Answer : Option B
Explaination / Solution:
Shortest distance between the lines and is given by: 
Q6.
If cos A + cos B = 4, then the sides of the triangle ABC are in
Answer : Option B
Explaination / Solution:
Q7. A lady arranges a dinner party for 6 guests .The number of ways in which they may be selected from among 10 friends if 2 of the friends will not attend the party together is
Answer : Option A
Explaination / Solution:
Let the friends be A,B,C,D,E,F,G,H,I , J and assume A and B will not battend together
Case 1 : Both of them will not attend the party : Now we have to select the 6 guests from the remaing 8 members
Then no of ways is 8C6 = 28 ways.
Case 2 : Either of them are selected for the party :Now we have to select the 5 guests from the remaing 8 members and one from A and B
Then the no of ways = 2C1 x 8C5 =112 ways.
Therefore total number of ways is 28+ 112 = 140 ways,
Q8. The line x = 1 , y = 2 is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. If A and B are any two matrices, then
Answer : Option C
Explaination / Solution:
Let matrix A is of order m x n , and matrix B is of order p x q . then , the product AB is defined only when n = p. that’s why, If A and B are any two matrices, thenAB may or may not be defined.
Q10. up to 4n terms is equal to
Answer : Option A
Explaination / Solution:
