Mathematics - Online Test
Q1. If the standard deviation
of x, y, z is p then the standard deviation of 3x + 5 , 3y
+ 5 , 3z + 5 is
Answer : Option B
Explaination / Solution:
Q2. A property of the variables which remains unchanged by the execution of the loop body. This unchanging property is called
Answer : Option A
Explaination / Solution:
No Explaination.
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. If 
is a matrix satisfying the
equation AAT = 9I, where I is
3 × 3 identity matrix, then the ordered pair (a, b) is equal to
is a matrix satisfying the
equation AAT = 9I, where I is
3 × 3 identity matrix, then the ordered pair (a, b) is equal to
Answer : Option D
Explaination / Solution:
Q5. 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
Q6. 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∧
Q7. is equal to
Answer : Option A
Explaination / Solution:
Note that is an odd function, therefore,
Q8. The vectors 
are
are
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. Unit Vector is
Answer : Option D
Explaination / Solution:
The vector whose magnitude is always 1 or unity is called a Unit Vector.
Q10. 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
