Mathematics - Online Test
Q1. One value of ∫ f′(x) dx is
Answer : Option B
Explaination / Solution:
As therefore,one value of is f(x).
Q2. Magnitude of the vector 
is
is
Answer : Option D
Explaination / Solution:
We have : 
then , ∣∣a→∣∣=12+12+12−−−−−−−−−−√=3–√
then , ∣∣a→∣∣=12+12+12−−−−−−−−−−√=3–√
Q3. Two coins are tossed once ,where E : tail appears on one coin , F : one coin shows head. Find P(E/F).
Answer : Option C
Explaination / Solution:
Q4. is equal to
Answer : Option A
Explaination / Solution:
Q5. If f (x) = (1 – x) tan , then f(x) is equal to
Answer : Option A
Explaination / Solution:
Q6. For each n N , is divisible by :
Answer : Option A
Explaination / Solution:
When n = 1 the value is 7.
Q7. The line y = mx + 1 is a tangent to the parabola if m =
Answer : Option B
Explaination / Solution:
The contion for a line to be a tangent to the parabola is y = mx +
From the given equation of the parabola we infer that a = 1 and from the equation of the line c = 1
Therefore m = a/c = 1
Q8.
Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector.
Answer : Option D
Explaination / Solution:
The equation of the line which passes through the point (1, 2, 3) and is parallel to the vector
, let vector and vector ,
the equation of line is :
.
, let vector and vector ,
the equation of line is :
.
Q9. Angles of triangle are in A.P. If the number of degrees in the smallest to the number of radians in the largest is as 60:π, then the smallest angle is
Answer : Option A
Explaination / Solution:
Q10. Numbers greater than 1000 but not greater than 5000 are to be formed with the digits 0, 1, 2, 3, 5, allowing repetitions, the number of possible numbers is
Answer : Option D
Explaination / Solution:
| th | h | t | o |
| 3 | 5 | 5 | 5 |
One's place can be occupied by any of the 5 numbers, tens place by any of the 5 numbers and hundreds place in 5 ways since repetition is allowed. But thousands place can be occupied by 2,3,1, only since the required number should be greater than 1000 and less than 5000.Hence total number of arrangement=3x5x5x5=375
