Mathematics - Online Test
Q1. The value of is
Answer : Option D
Explaination / Solution:
Q2. If the lines 3x-4y + 4 = 0 and 6x -8y - 7 = 0 are tagents to the circle then the radius of the circle is
Answer : Option D
Explaination / Solution:
The given lines are paralle. Hence the tangents are parallel tangents. Distance between these lines is equal to the diameter
D = = 3/2
Therefore the radius is 3/4
Q3. is equal to
Answer : Option C
Explaination / Solution:
=
Q4. Shaquille O’ Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?
Answer : Option A
Explaination / Solution:
Q5. The general solution of the equation sin x + cos x = 2 is
Answer : Option D
Explaination / Solution:
Q6. If is divisible by 64 for all n N , then the least negative integral value of is
Answer : Option C
Explaination / Solution:
When n = 1 we have the value of the expression as 65 . Given that the expression is divisible be 64. Hence the value is -1.
Q7. The probability of having atleast one head in 5 throws of a coin is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. A , B C and D are four points in spaces such that AB = BC = CD = DA . Then ABCD is a
Answer : Option B
Explaination / Solution:
It can be square or rhombus(all sides are equal).Angle property must be mentioned.
Q9. 
Answer : Option D
Explaination / Solution:
symmetric matrix ,since A’ = A . therefore ,
Q10. Different calendars for the month of February are made so as to serve for all the coming years. The number of such calendars is
Answer : Option C
Explaination / Solution:
The month of February has either 28 days (non-Leap Year) or 29 days(Leap Year).
Thus there are 2 possibility for the number of days in February.
Also the first day of the month of February can be any of the 7 days in a week.
So total number of February calendars = 2 * 7 =14
