Mathematics - Online Test
Q1. The letters of the word ‘ ORIENTAL ‘ are arranged in all possible ways . The chance that the consonants and vowels occur alternately is
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. There is one and only one sphere through
Answer : Option B
Explaination / Solution:
Yes , it is true because if we assume 2 sphere or more than that they wil coincide
Q3.
If A and B are square matrices of the same order, then implies
Answer : Option C
Explaination / Solution:
If A and B are square matrices of same order , then , product of the matrices is not commutative.Therefore , the given result is true only when AB = BA.
Q4. 20 students can compete for a race. The number of ways in which they can win the first three places is (given that no two students finish in the same place)
Answer : Option D
Explaination / Solution:
for first place we have 20 students, for second we have 19 and for the third we have 18
20P3=20*19*18
Q5. If f(x) be any function which assumes only positive values and f’ (x) exists then f’ (x) is equal to
Answer : Option B
Explaination / Solution:
Q6. Consider the differential equation 
. There exists a
unique solution for this differential equation when t belongs to the interval
. There exists a
unique solution for this differential equation when t belongs to the interval
Answer : Option A
Explaination / Solution:
Q7. In the following case, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them. 4x + 8y + z – 8 = 0 and y + z – 4 = 0
Answer : Option D
Explaination / Solution:
We have, 4x + 8y + z – 8 = 0 and y + z – 4 = 0. Let be the angle between the planes, then
Q8. is equal to
Answer : Option C
Explaination / Solution:
We have for a complex number x+iy the argument or amplitude is a value of satisfying
Q9. Find the equation of a curve passing through the point (0, 0) and whose differential equation is y′ = sin x.
Answer : Option A
Explaination / Solution:
Q10.
Find the number of terms in the expansion of
Answer : Option A
Explaination / Solution:
