Mathematics - Online Test
Q1. There are 10 true-false questions. The number of ways in which they can be answered is
Answer : Option A
Explaination / Solution:
you can either choose true or false, therefore for 10 questions you will have 210 possibilities.
Q2. The angle between the lines x = 1 , y = 2 and y = - 1 , z = 0 is
Answer : Option B
Explaination / Solution:
x = 1 , y = 2 represents XY plane and y = - 1 , z = 0 represents YZ plane.Since XY perpendicular to YZ .hence angle is 90 degrees
Q3. If
Answer : Option C
Explaination / Solution:
If any row or column of a square matrix is 0 , then its product with itself is always a zero matrix.
Q4. Let f (x) = tan x – 4x, then in the interval is
Answer : Option C
Explaination / Solution:
Q5. If k , l, m , n are four consecutive integers , then is equal to :
Answer : Option B
Explaination / Solution:
Q6. If A and B are two sets , then A∪(A∩B) is equal to
Answer : Option B
Explaination / Solution:
LetA={1,2,3,4}andB={1,2,3,4,5,6}HereA∩B={1,2,3,4}NowA∪(A∩B)={1,2,3,4,}=A
Q7. The coefficient of in the expansion of is
Answer : Option C
Explaination / Solution:
Q8. The area bounded by the curve y = 4x - and the x- axis is equal to
Answer : Option C
Explaination / Solution:
For x – axis , y = 0,
Therefore,
Therefore , x = 0 or x = 4.
Required area :
= = = 32 - - 0 =
Therefore,
Therefore , x = 0 or x = 4.
Required area :
= = = 32 - - 0 =
Q9. A function y = 5x2 + 10x is defined over an open interval x = (1,2). Atleast at one
point in this interval, dy/dx is exactly
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. A solution is to be kept between and What is the range of temperature in degree Fahrenheit.What is the range of temperature in degree Fahrenheit if conversion formula is given by where C and F represent temperature in degree Celcius and degree Fahrenheit?
Answer : Option B
Explaination / Solution:
According to the question
Since , we get
Hence the range of temperature in degree Fahrenheit is between and
