Mathematics - Online Test
Q1.
The solution set of the inequation:
Answer : Option C
Explaination / Solution:
[ Multiply the inequality throughout by the L.C.M]
, but given
Hence the solution set will be nullset.
Q2. The fourth term of a G. P. is 2, then product of first 7 terms is
Answer : Option B
Explaination / Solution:
Q3. Which of the following, in case of a discrete data, is not equal to the median?
Answer : Option C
Explaination / Solution:
As lower quartile is the whereas median is or the average of middle most terms
Q4. The maximum value of is
Answer : Option A
Explaination / Solution:
Q5. The range of the function f(x) =|x−1| is
Answer : Option C
Explaination / Solution:
We have , f(x) =|x−1|, which always gives non-negative values of f(x) for all x∈R.Therefore range of the given function is all non-negative real numbers i.e. [0,∞] .
Q6. The inverse of the matrix A = 
Answer : Option C
Explaination / Solution:
Q7. The number of points on X axis which are at a distance of c units ( c < 3 ) from ( 2 , 3 ) is
Answer : Option B
Explaination / Solution:
Let (x,0) be the point.
Then (by distance formula,
(x-2)2 +32 = c2
x2 -4x +4 + 9 - c2 = 0
x2 - 4x +13 - c2 = 0
x will be real if the b2 - 4ac 0
i.e; 16 - 4(13 - c2) 0
i.e; c2 - 9 0
i.e; |c| 3
Hence there is no point.
Q8. Let p and q be two propositions. Then the implication p↔∼q is true ,when
Answer : Option C
Explaination / Solution:
| p | q | ||
| T | T | F | F |
| T | F | T | T |
| F | T | F | T |
| F | F | T | F |
Q9. For any three propositions p , q , and r , the proposition (p∧q)∧(q∧r) is true , when
Answer : Option C
Explaination / Solution:
hence p=T , q=T, r=T
Q10.
The area bounded by the curves and is equal to
Answer : Option D
Explaination / Solution:
Eliminating y, we get:
Required area:
Required area:
