Mathematics - Online Test
Q1. Solve the system of inequalities 2x + 5 ≤ 0 , x − 3 ≤ 0
Answer : Option D
Explaination / Solution:
Q2. The ratio of the to the ( n –1)th mean between 1 and 31, when n arithmetic means are inserted between them, is 5 : 9. The value of n is
Answer : Option B
Explaination / Solution:
Q3. If the mean of the first n odd natural numbers be n itself, then n is equal to
Answer : Option C
Explaination / Solution:
here, n can be any natural number
Q4. Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1),(3,2)} be a relations on the set A = {1, 2, 3, 4}. The relation R is
Answer : Option C
Explaination / Solution:
R is said to be symmetric if (a,b)∈R⇒(b,a)∈R ,here (1,3)∈R⇒(3,1)∈R etc.
Q5. 
Answer : Option C
Explaination / Solution:
Q6. A line is drawn through the points ( 3 , 4 ) and ( 5 , 6 ) . If the is extended to a point whose ordinate is – 1, then the abscissa of that point is
Answer : Option D
Explaination / Solution:
The slope of the given line is = = 1
Therefore = 1
That is 4+1 = 3 - x
Therefore x = -2
Q7. Negation of the statement p→(q∧r) is
Answer : Option D
Explaination / Solution:
= since
=
Q8. dx is equal to
Answer : Option D
Explaination / Solution:
Q9. If two vectors have their corresponding direction cosines equal then the two vectors
Answer : Option B
Explaination / Solution:
If the direction cosines of two vectors are same , then the vectors are said to be parallel.
Q10. If P(A) = , P(B) = and P(A ∪ B) = find P(A|B)
Answer : Option B
Explaination / Solution:
