Mathematics - Online Test

Q1. Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is
Answer : Option D
Explaination / Solution:


Q2. If  n(A× B) = 6 and A = {1, 3} then n(B) is
Answer : Option C
Explaination / Solution:


Q3. The order and degree of the differential equation  are respectively
Answer : Option A
Explaination / Solution:



Q4. A zero of x3 + 64 is
Answer : Option D
Explaination / Solution:


Q5. If A and B are two sets, then {tex}A \cap (A \cup B)'{/tex} is equal to
Answer : Option C
Explaination / Solution:

{tex}A \cap (A \cup B)' = \phi {/tex} since {tex}(A \cup B)'{/tex} Set represent the element which are not belongs to it,so there is no common element with the set A.So the answer is null set
Q6. The value of 2 + 4 + 6 +…….+ 2n is
Answer : Option D
Explaination / Solution:


Q7. Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r , where r must satisfy.
Answer : Option C
Explaination / Solution:
No Explaination.


Q8. The value of sin1 (cos x), 0 x π is
Answer : Option C
Explaination / Solution:


Q9. The complex numbers z = x + iy which satisfy the equation  lie on
Answer : Option D
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Q10. Let A =  , then Det. A is
Answer : Option B
Explaination / Solution:


   ( since C1 and C2 are identical)