Mathematics - Online Test

Q1.
Answer : Option B
Explaination / Solution:



Q2. The number of ways of dividing 52 cards equally into 4 sets is
Answer : Option C
Explaination / Solution:

 If 4n things are to form 4 equal groups then the numbers of ways are  
 Hence number of ways to divide 52 cards to form 4 groups of 13 cards each = 

 


Q3. is equal to
Answer : Option A
Explaination / Solution:



Q4. A function f(x) is defined as  . Which one of the following statements is TRUE?
Answer : Option A
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Q5. Find the distance of the point (3, – 2, 1) from the plane 2x – y + 2z + 3 = 0
Answer : Option B
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Q6.

If  then  is equal to


Answer : Option D
Explaination / Solution:



Q7. Find the equation of a curve passing through the point (0, –2) given that at any point (x, y) on the curve, the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
Answer : Option B
Explaination / Solution:



Q8. The index of the power of x that occurs in the  term from the end in the expansion of  is
Answer : Option C
Explaination / Solution:



Q9. Given the sets A = { 1, 2, 3 } , B = { 3 , 4 } , C = { 4 , 5, 6 } , then A ∪( B ∩ C ) is
Answer : Option C
Explaination / Solution:



Q10. If f (x) = is equal to
Answer : Option B
Explaination / Solution: