Mathematics - Online Test
Q1. 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:
Q2. 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
Q3. 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 .
Q4. 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
Q5. Which of the following is logically equivalent to (p∧q) ?
Answer : Option B
Explaination / Solution:
∼(∼(p∧q)) since∼p∨∼q≡∼(p∧q)
∼(∼p)≡p
Q6. If then
Answer : Option C
Explaination / Solution:
⇒ddx(g(x)+C)=ddx∫f(x)dx=f(x)
Q7. If a vector is multiplied by any scalar then , the result is always a vector.
Answer : Option B
Explaination / Solution:
Addition of two vectors i.e. vector addition is commutative. i.e..
Q8. If P(A) = and P(B) = , find P (A ∩ B) if A and B are independent events.
Answer : Option B
Explaination / Solution:
Since A and B are independent events .
Therefore ,
Therefore ,
Q9. The conditional probability of an event E, given the occurrence of the event F is given by
Answer : Option C
Explaination / Solution:
The conditional probability of an event E, given the occurrence of the event F is given by :
Q10. The value ofis
Answer : Option B
Explaination / Solution:
