Mathematics - Online Test
Q1. The interval in which the values of f (x) lie where f (x) = 3 sin is
Answer : Option A
Explaination / Solution:
z=π216−x2−−−−−−√∴0≤z≤π4∴0≤sinz≤12√0≤3sinz≤32√
Q2. Three identical dice are rolled. The probability that the same number will appear on each of them is
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. An examination consists of two papers, Paper 1 and Paper 2. The probability of failing in Paper 1 is 0.3 and that in Paper 2 is 0.2. Given that a student has failed in Paper 2, the probability of failing in Paper 1 is 0.6. The probability of a student failing in both the papers is
Answer : Option C
Explaination / Solution:
Q4. If f(x) = log, then is equal to
Answer : Option B
Explaination / Solution:
Q5. Suppose n (≥3) persons are sitting in a row. Two of them are selected at random. The probability that they are not together is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. The solution of the differential equation 
under the boundary
conditions
under the boundary
conditions(i) y = y1 at x = 0 and
(ii) y = y2 at x = ∞, where k, y1 and y2 are constants, is
Answer : Option D
Explaination / Solution:
Q7. If then f (x) – f (- x) is equal to
Answer : Option A
Explaination / Solution:
f(x)=|x|x=xx=1f(−x)=|−x|−x=x−x=−1f(x)−f(−x)=1−(−1)=1+1=2
Q8. One ticket is selected at random from 100 tickets numbered 00, 01, 02…, 99. Suppose S and T are the sum and product of the digits of the number on the ticket, then the probability of getting S = 7 and T = 0 is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. The equation x − x + x − = is to be solved using the Newton - Raphson method. If x = is taken as the initial approximation of the solution, then next approximation using this method will be
Answer : Option B
Explaination / Solution:
Q10. A box contains 100 eggs out of which 4 are rotten. Two eggs are taken out together. If one of them is found to be good, the probability that other is also is
Answer : Option A
Explaination / Solution:
No Explaination.
