Mathematics - Online Test
Q1. Negation of the statement (p∧r)→(r∨q) is
Answer : Option A
Explaination / Solution:
(p∧r)∧(∼r∧∼q) since ∼(p→q)≡p∧∼q
Q2.
dx is equal to
Answer : Option B
Explaination / Solution:
∫1xdx=loge|x|+C
Q3. We have a set of 3 linear equations in 3 unknowns.
means X and Y are
equivalent statements and 
means X and Y are not equivalent statements.
means X and Y are
equivalent statements and means X and Y are not equivalent statements. P: There is a unique solution.
Q: The equations are linearly independent.
R: All eigenvalues of the coefficient matrix are nonzero.
S: The determinant of the coefficient matrix is nonzero.
Which one of the following is TRUE?
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. In triangle ABC, which of the following is not true?
Answer : Option B
Explaination / Solution:
(triangle law of vector addition) but
Q5. If 
are two collinear vectors, then which of the following are incorrect
are two collinear vectors, then which of the following are incorrect
Answer : Option A
Explaination / Solution:
If 
are two collinear vectors, then, they are parallel to the same line irrespective of their magnitudes and directions.
are two collinear vectors, then, they are parallel to the same line irrespective of their magnitudes and directions.
Q6. Two coins R and S are tossed. The 4 joint events HRHS,
TR TS,HR TS,TR HS have
probabilities 0.28, 0.18, 0.30, 0.24, respectively, where H represents head and T
represents tail. Which one of the following is TRUE?
Answer : Option D
Explaination / Solution:
Q7. is equal to
Answer : Option B
Explaination / Solution:
=.because ,
Q8.
If x sin (a + y) = sin y, then is equal to
Answer : Option C
Explaination / Solution:
Q9. The equation of the normal to the parabola having slope 1 is
Answer : Option C
Explaination / Solution:
slope form of normal is y=mx-2am-am3
for the given parabola a = 2 and m = 1
therefore y = x -4 -2
i.e; x - y - 6 = 0
Q10. Let the angles A, B, C of be in A.P. and let b: c:: then the angle A is
Answer : Option D
Explaination / Solution:
