Electrical Engineering - Online Test
Q1. Given i = √-1 the value of the definite integral 
Answer : Option B
Explaination / Solution:
Q2. Let A = [ αij ], 1≤ i, j ≤ n with n ≥ 3 and aij = i.j . The rank of A is
Answer : Option B
Explaination / Solution:
Q3. 
is equal to
is equal to
Answer : Option D
Explaination / Solution:
Q4. The two Eigen values of the matrix 
have a ratio of 3 : 1 for p = 2. What is another value
of p for which the Eigen values have the same ratio of 3 : 1?
have a ratio of 3 : 1 for p = 2. What is another value
of p for which the Eigen values have the same ratio of 3 : 1?
Answer : Option D
Explaination / Solution:
Let A = 
Given that two eigen values of A are in 3:1
Ratio for p = 2
⇒ Characteristic equation λ2 -4λ+3 = 0 (by substituting p=2)
⇒ λ=1,3
Eigen values 5, 5/3 are in ratio 3:1
P = 14/3
Q5. A fair (unbiased) coin was tossed four times in succession and resulted in the following
outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a 'Tail' when
the coin is tossed again is
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. 
can be expressed as
can be expressed as
Answer : Option C
Explaination / Solution:
Q7. The integrating factor for the differential equation 
Answer : Option D
Explaination / Solution:
The standard form of Linear differential equations is
Q8. If {x} is a continuous, real valued random variable defined over the interval (−∞,+∞) and its occurrence is defined by the density function given as: 
where ‘a’ and
‘b’ are the statistical attributes of the random variable {x}. The value of the integral 
dx is
where ‘a’ and
‘b’ are the statistical attributes of the random variable {x}. The value of the integral dx is
Answer : Option B
Explaination / Solution:
Q9. The expression 
is equal to
is equal to
Answer : Option A
Explaination / Solution:
By L’ Hospital rule,
Q10. If |4x − 7| = 5 then the value of 2 |x| − |−x| is
Answer : Option B
Explaination / Solution:
|4x − 7| = 5; 4x − 7 = 5 or 4x − 7 = −5 ⇒ x = 3 or 0.5
2 |x| − |−x| = 2×3-3= 3 or 2 |x| − |−x| = 2×1/2-1/2 = 1/2
