SSC JE Mechanical Engineering 24th Jan 2018 Shift-1

For the following questions answer them individually

Showing a photograph to E, Mr X said that, the lady in the photograph was his spouse's mother. E said that the lady was his wife's mother's mother. If the lady in the photograph has only one daughter, then how is E related to X?

Two workmen L and M start at the point. L walks 25 m East, then turns left and walks 15 m. In the meanwhile M walks 18 m South, then turns to his right and walks 17 m , then turns North and walks 33 m. Where is M with respect to L?

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement I:
All cloth is silk
Statement II:
All silk is cotton
Conclusion I:
Some cotton is cloth
Conclusion II:
All cloth is cotton

In the question three statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement I:
All caterpillars are butterflies
Statement II:
Some caterpillars are insects
Statement III:
No butterflies are animals

Conclusion I: Some insects are butterflies
Conclusion II:
All insects are animals
Conclusion III:
Some animals are caterpillars

In the following figure, square represents athletes, triangle represents engineers, circle represents fathers and rectangle represents entrepreneurs. Which set of letters represents athletes who are either entrepreneurs or fathers?

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from S to 9. A letter from these matrices can be represented first by its row and next by its column, for example 'K' can be represented by 32, 01 etc and 'R' can be represented by 79, 99 etc. Similarly, you have to identify the set for the word 'GLUE'.

Which of the following statement(s) is/are CORRECT?
I. Metallic oxides are said to be basic oxides.
II. Non-metallic oxides are basic in nature.
III. All acids have similar chemical properti es.

Which of the following occurs due to refraction?
I. The apparent displacement of a pencil, partly immersed in water.
II. Sun appears before the sunrise.
III. Sky appears blue.

The phenomena of electromagnetic induction is ______.

What is the velocity ratio for creep in the belt drive system for $$\sigma_1$$, being the stress in tight side, $$\sigma_2$$, being the stress on slack side and £ is the young’s modulus of elasticity of the belt material?

Which following equation represents the frictional torque transmitted in a conical pivot bearing with radius R of shaft and $$\alpha$$ as the semi-angle of the cone?

Which ratio defines the height of a watt governor to that of the porter governor for equal arm and link lengths, where m is the massofthe ball and M is the mass of the sleeve?

Asteel rod whose diameteris 2 cm and is 2 m long, experiences heating of temperature $$30^\circ C$$ to $$150^\circ C$$. The coefficient of thermal expansion is $$\alpha = 12 \times 10^{-6}/ ^\circ C$$ and Young's modulus is 200 GPa. If the rod has been restricted to its original position, then the thermal stress (MPa) developed will be ................

The conditions for the thermal stress in a body are given below.
(1) It is the function of coefficient of thermal expansion.
(2) It is the function of temperaturerise.
(3) It is the function of modulus ofelasticity.

What will be the change in length (mm) of a steel bar having a square cross section of dimension 40 mm x 40 mm, whichis subjected to an axial compressive load of 250 kN. If the length of the bar is 4 m and modulus ofelasticity is E = 250 GPa?

Choose the INCORRECT option for the equation of elongation of a uniform rod having length L dueto the self weight W.

Which of the following statement is INCORRECTfor work output of an ideal Otto cycle?

Which relation clearly depicts the absolute thermodynamic temperature scale?

What does the term ‘quality’ indicate?

A gas is compressed frictionless from an initial state of y m$$^3$$ and 1 MPa to a final state of 0.2 m$$^3$$ and 1 MPa. There is a transfer of 40 kJ of heat from the gas and a drop of 20 kJ in internal energy. What is the initial state volume of the gas?

The tool life of a tool is said to be over if

If $$\alpha$$ is the rake angle of the cutting tool, $$\psi$$ is the shear angle and $$v$$ is the cutting velocity, then the velocity of chip sliding along the shear plane is given by
1] $$\frac{v \cos \alpha}{\sin(\psi - \alpha)}$$
2] $$\frac{v \sin \alpha}{\sin(\psi - \alpha)}$$
3] $$\frac{v \sin \alpha}{\cos(\psi - \alpha)}$$
4] $$\frac{v \cos \alpha}{\cos(\psi - \alpha)}$$

Which one of the following is the steady flow energy equationfor a boiler?
(a) $$h_1 + \frac{v_1^2}{2gJ} = h_2 + \frac{v_2^2}{2gJ}$$
(b) $$Q = (h_2 - h_1)$$
(c) $$h_1 + \frac{v_1^2}{2gJ} + Q = h_2 + \frac{v_2^2}{2gJ}$$
(d) $$W_s = (h_2 - h_1) + Q$$

Stream and velocity potential functions for a two dimensional flowfield given by u = 2x and v = - 2y are
(a) $$\psi = 2xy, \phi = x^2 - y^2$$
(b) $$\psi = x^2 - y^2, \phi = 2xy$$
(c) $$\psi = x^2y^2, \phi = x^2 + y^2$$
(d) $$\psi = x^2 + y^2, \phi = x^2y^2$$

Which one of the statementsis correct for a forced vortex?

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