From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:<br>P. The engineering stress-strain curves in tension and compression are identical.<br>Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.<br>R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.<br>S. The true stress-true strain curve in tension and compression are identical.

Indifference curves relating to supply of labour have a number of properties some of which are mentioned below
1. Indifference curves are downward slopping
2. Indifference curves are upward slopping
3. Higher indifference curves indicate lower levels of utility
4. Higher indifference curves indicate higher levels of utility
5. Indifference curves do not intersect
6. Indifference curves intersect
7. Indifference curves are concave to the origin
8. Indifference curves are convex to the origin
Which among the following properties are not true?

A

1, 2, 3, 4

B

2, 6, 7, 8

C

1, 3, 5, 7

D

2, 3, 6, 7

n an alloy, lead and tin are in the ratio of 2 : 3. In the second alloy, the ratio of same elements is 3 : 4. If equal quantities of these two alloy are mixed to forma new alloy, then what will be the ratio of these two elements in the new alloy?

A

1 : 3

B

29 : 41

C

25 : 37

D

31 : 43

Assertion (A): If the monopolist faces identical demand curves for his commodity in two separate markets, by practising third degree price discrimination, he cannot increase his TR and total profits.
Reason (R): As the marginal revenue curves are identical when the demand curves in the two markets are the same, the monopolist will not charge different prices in each market to maximise profits.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true, but R is NOT a correct explanation of A

C

A is true, but R is false

D

A is false, but R is true

In the context of tensile test of a ductile alloy, the following observations were made. Choose the correct ones from the following observations:
P. Per cent elongation is independent of the dimensions of the test specimens.
Q. The number of necking instabilities are different in cylindrical and sheet specimens.
R. The range of strain rates to be used for 'static tensile test' is 10^-1 to 10^-5 s^-1.
R. The yield stress is independent of the temperature of the test.

A

Q, R, S

B

P, Q, R

C

Q, R

D

R, S

Two identical engineering components are made from alloys X and Y. The K_IC of alloy X is greater than that of alloy Y. If these components are subjected to the same stress during operation under mode-I loading, which one of the following statements is true?

A

Component made from alloy X can tolerate a larger flaw size compared to that made from Y

B

Component made from alloy Y can tolerate a larger flaw size compared to that made from X

C

Both can tolerate same flaw size

D

None of the above

60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, the amount of tin in the new alloy is -

A

44 kg

B

53 kg

C

80 kg

D

24 kg

Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?

A

6-Green

B

6-Red

C

5-Purple

D

7-Blue

There are two classes of three figures each. Class 'A' figures differ in certain way from figures in Class 'B'. Which two of the four Answer Figures belong to Class 'A'?

A

1 and 3

B

1 and 2

C

2 and 4

D

2 and 3

In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of same elements is 4 : 7. If equal quantities of these two alloys be mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?

A

2 : 3

B

16 : 35

C

4 : 5

D

40 : 59

A bunker-conveyor system as shown in the figure works under the following scheme:
i. Bunker and two conveyors running
ii. Bunker and either of the two conveyors running
If the bunker and the two conveyors have identical reliability of 0.9. the system reliability is

A

0.729

B

0.810

C

0.999

D

0.891