The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by
1/5 of the current wages and the working hours decrease by 1/24 of the current period, then
the new cost of erection in Rs. is

**A. ** 16,500

**B. ** 15,180

**C. ** 11,000

**D. ** 10,120

**Answer : ****Option B**

**Explaination / Solution: **

Let ‘W’ be the labour wages, and ‘T’ be the working hours.

Let ‘W’ be the labour wages, and ‘T’ be the working hours.

Now, total cost is a function of W × T

Increase in wages = 20%

∴ Revised wages = 1.2 W

Decrease in labour time = (100/24)%

∴ Re vised time = (1-(1/24))T = (23/24)T

Re vised Total cost = 1.2 × (23/24)WT = 1.15WT

= 1.15 × 13200 = 15180

Workspace

Report

Consider the binary relation R = {(x, y), (x, z), (z, x), (z, y)} on the set {x, y, z}. Which one the following is TRUE?

**A. ** R is symmetric but NOT antisymmetric.

**B. ** R is NOT symmetric but antisymmetric

**C. ** R is both symmetric and antisymmetric

**D. ** R is neither symmetric nor antisymmetric

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

A square matrix B is skew-symmetric if

**A. ** B^{T }= -B
**B. ** BT = B

**C. ** B-T = B

**D. ** B-1 = BT

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

The Laplace Transform of f(t) = e^{2t} sin(5t) u(t) is

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option A**

**Explaination / Solution: **

Workspace

Report

The standard normal probability function can be approximated as

**A. ** 66.7 %

**B. ** 20.0 %

**C. ** 33.3 %

**D. ** 16.7 %

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

where x_{N} = standard normal deviate. If mean and standard deviation of annual
precipitation are 102 cm and 27 cm respectively, the probability that the annual
precipitation will be between 90 cm and 102 cm is

No Explaination.

Workspace

Report

If three coins are tossed simultaneously, the probability of getting at least one head is

**A. ** 1/8

**B. ** 3/8

**C. ** 1/2

**D. ** 7/8

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

Probability density function of a random variable X is given below

**A. ** 3/4

**B. ** 1/2

**C. ** 1/4

**D. ** 1/8

**Answer : ****Option A**

**Explaination / Solution: **

Workspace

Report

An input to a 6-level quantizer has the probability density function f(x) as shown
in the figure. Decision boundaries of the quantizer are chosen so as to maximize the
entropy of the quantizer output. It is given that 3 consecutive decision boundaries
are' −1'. '0 ' and '1'.

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option A**

**Explaination / Solution: **

Area under the pdf curve must be unity 2a + 4a + 4b = 1 2a + 8b = 1.................................................(1) For maximum entropy three region must by equivaprobable thus 2a = 4b = 4b...............................................(2) From (1) and (2) we get b = 1/12 and a = 1/6

The values of a and b are

Area under the pdf curve must be unity 2a + 4a + 4b = 1 2a + 8b = 1.................................................(1) For maximum entropy three region must by equivaprobable thus 2a = 4b = 4b...............................................(2) From (1) and (2) we get b = 1/12 and a = 1/6

Workspace

Report

The area enclosed between the curves y^{2} =4x and x^{2} = 4y is

**A. ** 16/3

**B. ** 8

**C. ** 32/3

**D. ** 16

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

What is the possible number of reflexive relations on a set of 5 elements?

**A. ** 2^{10}

**B. ** 215

**C. ** 220

**D. ** 225

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

**Preparation Study Material**- Circuit Theory (Study/Preparation)
- Electromagnetic Theory (Study/Preparation)
- Digital Logic Circuits (Study/Preparation)
- Signals and Systems (Study/Preparation)
- Electrical Machines I (Study/Preparation)
- Electrical Machines II (Study/Preparation)
- Transmission and Distribution (Study/Preparation)
- Power System (Study/Preparation)
- Control Systems (Study/Preparation)
- Digital Logic Circuits (Study/Preparation)
- Electronic Devices and Circuits (Study/Preparation)
- Microprocessors and Microcontrollers (Study/Preparation)
- Power Electronics (Study/Preparation)

- Engineering Mathematics (Practise Test)
- Electric Circuits (Practise Test)
- Electromagnetic Fields (Practise Test)
- Signals and Systems (Practise Test)
- Electrical Machines (Practise Test)
- Power Systems (Practise Test)
- Control Systems (Practise Test)
- Electrical and Electronic Measurements (Practise Test)
- Analog and Digital Electronics (Practise Test)
- Power Electronics (Practise Test)