Mathematics - Online Test
Q1. Square roots of − i, where i = √-1, are
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. The marks scored by Rohit in two tests were 65 and 70. Find the minimum marks he should score in the third test to have an average of atleast 65 marks.
Answer : Option D
Explaination / Solution:
Let x be the mark obtained by Rohit in the third test.
Then
Hence Rohit should get a minimum of 60 marks to get an average of atleast 65 marks.
Q3. If(x)=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪sin[x][x]0,,[x]≠0,thenLtx→0f(x)[x]=0
Answer : Option A
Explaination / Solution:
Q4. In Corner point method for solving a linear programming problem one finds the feasible region of the linear programming problem ,determines its corner points and evaluates the objective function Z = ax + by at each corner point. Let M and m respectively be the largest and smallest values at corner points. In case feasible region is unbounded, m is the minimum value of the objective function
Answer : Option D
Explaination / Solution:
In Corner point method for solving a linear programming problem one finds the feasible region of the linear programming problem ,determines its corner points and evaluates the objective function Z = ax + by at each corner point. Let M and m respectively be the largest and smallest values at corner points. In case feasible region is unbounded, m is the minimum value of the objective function if the open half plane determined by ax + by < m has no point in common with the feasible region . Otherwise Z has no minimum point.
Q5. If the numbers a, b, c are in A.P., b, c, d are in G.P. and c, d , e are in H.P., then a, c, e are in
Answer : Option D
Explaination / Solution:
Q6. The statistical method which helps us to estimate or predict the unknown value of one variable from the known value of the related variable is called
Answer : Option B
Explaination / Solution:
It follows from the definition of regression
Q7. Number of relations that can be defined on the set A = {a, b, c, d} is
Answer : Option A
Explaination / Solution:
No. of elements in the set A = 4 .Therefore , the no. of elements in As, the no. of relations in = no. of subsets of .
Q8. The equation of the line which passes through the point ( 2 , - 3 ) and cuts off equal intercepts from the axis is
Answer : Option C
Explaination / Solution:
The equation of the line which cuts equal intercepts is
x+y=a
Since it passes through (2,-3),
2 - 3 =a
Hence a = -1
Hence the equation of the required line is x + y +1 = 0
Q9. Which of the following is logically equivalent to (p∧q) ?
Answer : Option B
Explaination / Solution:
∼(∼(p∧q)) since∼p∨∼q≡∼(p∧q)
∼(∼p)≡p
Q10. If then
Answer : Option C
Explaination / Solution:
⇒ddx(g(x)+C)=ddx∫f(x)dx=f(x)
