Mathematics - Online Test
Q1. The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ….. is
Answer : Option C
Explaination / Solution:
here,
Q2. If x and y are related as y – 4x = 3, then the nature of correlation between x and y is
Answer : Option C
Explaination / Solution:
comparinf the given equation with ax + by + c= 0
a = -4, b =1 and c= -3
so ab < 0
hence,
so a perfect positive correlation.
Q3. R = {(1, 1), (2, 2), (1, 2), (2, 1), (2, 3)} be a relation on A, then R is
Answer : Option B
Explaination / Solution:
A relation R on a non empty set A is said to be reflexive if xRx for all x R , Therefore , R is not reflexive.
A relation R on a non empty set A is said to be symmetric if xRyyRx, for all x , y R Therefore, R is not symmetric.
A relation R on a non empty set A is said to be antisymmetric if xRy and yRxx = y , for all x , y R.Therefore, R is not antisymmetric.
A relation R on a non empty set A is said to be symmetric if xRyyRx, for all x , y R Therefore, R is not symmetric.
A relation R on a non empty set A is said to be antisymmetric if xRy and yRxx = y , for all x , y R.Therefore, R is not antisymmetric.
Q4. Slope of any line parallel to X axis is
Answer : Option B
Explaination / Solution:
Since the angle made with x axis is zero, since tanθ is the slope. Then tan0 = 0
Hence the slpoe of the line parallel to X-axis is zero
Q5. Let p and q be two prepositions given by p : To become an airforce officer one should be graduate. q : To become an airforce officer one should have good health. The compound proposition “ To become an airforce officer one should be a graduate and should have good health “ is represented by
Answer : Option A
Explaination / Solution:
the statement before and is p .The statement after and is q.and is replaced by∧
Q6. is equal to
Answer : Option A
Explaination / Solution:
Note that is an odd function, therefore,
Q7. Unit Vector is
Answer : Option D
Explaination / Solution:
The vector whose magnitude is always 1 or unity is called a Unit Vector.
Q8. If P(A) = , P(B) = 0, then P(A|B) is
Answer : Option D
Explaination / Solution:
We know that :
which is not defined
which is not defined
Q9. When x=,x/2,then tan x, is
Answer : Option B
Explaination / Solution:
tan(π2)=sin(π2)cos(π2)=10=notdefined
Q10. is equal to
Answer : Option A
Explaination / Solution:
