Mathematics - Online Test
Q1. Find the distance of the point (– 6, 0, 0) from the plane 2x – 3y + 6z – 2 = 0
Answer : Option B
Explaination / Solution:
Q2. can be expressed as
Answer : Option D
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Q3. Solution of is
Answer : Option C
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Q4. If in the expansion of, the coefficients of (2r+1)th and (r+2)th terms are equal , then r is equal to
Answer : Option B
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Q5. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are
Answer : Option B
Explaination / Solution:
Let A and B be two sets having m and n elements respectively.Then,
Number of subsets of A=2m,Number of subsets of B=2n
It is given that 2m-2n=56
so,2n(2m-n-1)=23(23-1)
n=3 and m-n=3n=3 and m=6
Q6. 
is equal to
is equal to
Answer : Option D
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Q7. If a, b ,c are real numbers such that a > b , c > 0, then
Answer : Option A
Explaination / Solution:
The inequality remains same if both sides of an inequality are multiplied by the same positive real number.
Q8. Sum of an infinitely many terms of a G.P. is 3 times the sum of even terms. The common ratio of the G.P. is
Answer : Option D
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Q9. For a bivariate frequency distribution then is
Answer : Option D
Explaination / Solution:
if then
Q10. Rolle’s Theorem is not applicable to the function f(x) = | x | for −2⩽x⩽2 because
Answer : Option C
Explaination / Solution:
