Mathematics - Online Test
Q1. 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,
Q2. The line x = 1 , y = 2 is
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. 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.
Q4. up to 4n terms is equal to
Answer : Option A
Explaination / Solution:
Q5. If A = { 2,3,4,8,10 } ,B = { 3,4,5,10,12 } and C = { 4,5,6,12,14 } , then (A∩B)∪(A∩C) then
Answer : Option C
Explaination / Solution:
Q6. The coefficient of y in the expansion of is
Answer : Option C
Explaination / Solution:
Q7. The area bounded by y = log x , the x – axis and the ordinates x = 1 and x = 2 is
Answer : Option C
Explaination / Solution:
Required area :
= = == = = =
= = == = = =
Q8. Which of the following is correct ?
Answer : Option A
Explaination / Solution:
Given 0 -7
Multiplying throughout by -1,we get0 7 [ When both sides of an inequality are multiplied by a negative number ,then the sign of inequality is reversed]
Q9. is equal to
Answer : Option B
Explaination / Solution:
Q10. The optimal value of the objective function Z = ax + by may or may not exist, if the feasible region for a LPP is
Answer : Option A
Explaination / Solution:
The optimal value of the objective function Z = ax + by may or may not exist, if the feasible region for a LPP is unbounded. This is because the maximum or minimum value of the objective function may not exist.Even if it exists it must occur in a corner pointof the feasible region.
