The following sequence of numbers is arranged in increasing order: 1, x, x, x, y, y,9,16,18.
Given that the mean and median are equal, and are also equal to twice the mode, the value of
y is

**A. ** 5

**B. ** 6

**C. ** 7

**D. ** 8

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

**Explaination / Solution: **

Given, Mean = Median = 2Mode

Given, Mean = Median = 2Mode

Mean = Median = 2x [Mode = x].............. (1)

Mean of the data = (3x + 2y + 44)/9

2x = (3x + 2y + 44)/9

15x - 2y = 44.............(2)

Median of the data = y.........(3)

y = 2x ..........(4)

From (2); 11x = 44

x = 4

y = 8

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(1217)_{8} is equivalent to
**A. ** (1217)_{16}

**B. ** (028F)16

**C. ** (2297)10

**D. ** (0B17)_{16}

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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For a scalar function f(x,y,z) = x^{2} + 3y^{2} + 2z^{2}, the gradient at the point P(1,2, -1) is

**A. **

**B. **

**C. **

**D. ** √56

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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The type of partial differential equation

**A. ** elliptic

**B. ** parabolic

**C. ** hyperbolic

**D. ** none of these

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

**Explaination / Solution: **

Comparing the given equation with the general form of second order partial differential equation, we have A=1, B=3, C=1

Comparing the given equation with the general form of second order partial differential equation, we have A=1, B=3, C=1

B^{2}- 4AC = 5 > 0

P.D.E
is Hyperbola.

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For a matrix the transpose of the matrix is equal to the inverse of the matrix [M]^{T} = [M]^{-1}. The value of x is given by

**A. ** -(4/5)

**B. ** -(3/5)

**C. ** 3/5

**D. ** 4/5

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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evaluates to

**A. ** 0

**B. ** 1

**C. ** In 2

**D. ** 1/2 In 2

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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The value of

**A. ** π/2

**B. ** π

**C. ** 3π/2

**D. ** 1

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

**Explaination / Solution: **

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Which one of the following graphs describes the function

**A. **

**B. **

**C. **

**D. **

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

**Explaination / Solution: **

This condition is satisfied by the graph shown in option (B).

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The system of linear equations
4x + 2y = 7
2x + y = 6 has

**A. ** a unique solution

**B. ** no solution

**C. ** an infinite number of solutions

**D. ** exactly two distinct solutions

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

**Explaination / Solution: **

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C is a closed path in the z -plane by |z| = 3 The value of the integral is

**A. ** -4π(1 + j2)

**B. ** 4π(3 - j2)

**C. ** -4π(3 + j2)

**D. ** 4π(1 - j2)

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

**Explaination / Solution: **

Integral,

Integral,

So, we have the singularity

z j + 2 = 0

z =- 2j

Since, z = -2j lies inside |z| = 3. Therefore, using cauchy’s integral, we get

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**Preparation Study Material**- Engineering Mechanics (Study/Preparation)
- Structural Analysis I (Study/Preparation)
- Structural Analysis II (Study/Preparation)
- Engineering Geology (Study/Preparation)
- Mechanics of Solids (Study/Preparation)
- Mechanics of Fluids (Study/Preparation)
- Surveying I (Study/Preparation)
- Surveying II (Study/Preparation)
- Construction Materials (Study/Preparation)
- Strength of Materials (Study/Preparation)
- Applied Hydraulic Engineering (Study/Preparation)
- Soil Mechanics (Study/Preparation)
- Foundation Engineering (Study/Preparation)
- Environmental Science and Engineering (Study/Preparation)
- Environmental Engineering I (Study/Preparation)
- Environmental Engineering II (Study/Preparation)
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- Water Resources and Irrigation Engineering (Study/Preparation)