Mathematics - Online Test
Q1. Differential coefficient of a function f (g (x)) w.r.t. the function g (x) is
Answer : Option C
Explaination / Solution:
dd(g(x))(f(g(x))=f′(g(x))
Q2. he general solution of tan 3x = 1 is (n ∈ I)
Answer : Option A
Explaination / Solution:
Q3. If is divisible by c , when n is odd but not when n is even , then the value of c is :
Answer : Option C
Explaination / Solution:
Since a+b will be a factor of an +bn.
Q4. A dice has 3 faces each bearing ‘ 2 ‘ and three faces each bearing ‘ 6 ‘. It is rolled once. The probability of showing up ‘a six ‘ is
Answer : Option D
Explaination / Solution:
Total no. of outcomes = 6={2,2,2,6,6,6}
p(getting a six)=3/6=1/2
Q5. The plane x + y = 0 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. Adj.(KA) = ….
Answer : Option B
Explaination / Solution:
Adj.A , where K is a scalar and A is a n x n matrix.
Q7. On a railway track, there are 20 stations. The number of tickets required in order that it may be possible to book a passenger from every station to every other is
Answer : Option C
Explaination / Solution:
Given that there are 20 stations in the network .
Hence from each station 19 different tickets are possible
Therefore from 20 stations the number of different tickets possible=19 X 20=380
Q8. Equation of a plane passing through three non collinear points (x1, y1, z1),(x2, y2, z2) and (x3, y3, z3) is
Answer : Option D
Explaination / Solution:
In cartesian co – ordinate system : Equation of a plane passing through three non collinear points (x1, y1, z1),(x2, y2, z2) and (x3, y3, z3) is given by : 
Q9. In a bank, principal increases continuously at the rate of r% per year. Find the value of r if Rs 100 double itself in 10 years (loge2 = 0.6931).
Answer : Option B
Explaination / Solution:
Let P be the principal at any time t. then,
When P = 100 and t = 0., then, c = 100, therefore, we have:
Now, let t = T, when P = 100., then;
When P = 100 and t = 0., then, c = 100, therefore, we have:
Now, let t = T, when P = 100., then;
Q10. Amp. then locus of z is
Answer : Option B
Explaination / Solution:
