The Kutzbach criterion for determining the number of degrees of freedom (n) is (where $$l$$ = number of links, j = number of joints and h = number of higher pairs)

The Grubler's criterion for determining the degrees of freedom (n) of a mechanism having plane motion is (where $$l$$ = Number of links and j = Number of binary joints)

A

n = ($$l$$ - 1) - j

B

n = 2($$l$$ - 1) - 2j

C

n = 3($$l$$ - 1) - 2j

D

n = 4($$l$$ - 1) - 3j

Melinda's lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color

A

3

B

5

C

7

D

9

In a certain sock drawer, there are 4 pairs black socks, 3 pairs of back socks, 3 pairs of gray of gray socks and 2 pairs of corage socks. It socks removed at random without replaced, what is the minimum number of socks that must removes in order to ensure that two socks of the the same color have been removed?

A

11

B

4

C

3

D

7

stand next to the lamppost and face west ,walk 20 yards and then turn 90 degrees clockwise. Walk another 10 yards and then turn 45 degrees anticlockwise. Walk another 15 yards, reverse you direction and walk 5 yards back. Turn 135 degrees clockwise and walk another 10 yards . In which direction are you now facing?

A

West

B

East

C

South

D

North

If the opposite links of a four bar linkage are equal, the links will always form a

A

Triangle

B

Rectangle

C

Parallelogram

D

Pentagon

The relation between number of links ($$l$$) and number of joints (j) in a kinematic chain is

A

$$l = \frac{1}{2}\left( {{\text{j}} + 2} \right)$$

B

$$l = \frac{2}{3}\left( {{\text{j}} + 2} \right)$$

C

$$l = \frac{3}{4}\left( {{\text{j}} + 3} \right)$$

D

$$l = {\text{j}} + 4$$

Number of vertical joints in a stretcher course is x times the number of joints in the header course, where x is equal to

A

$$\frac{1}{2}$$

B

1

C

2

D

$$\frac{1}{4}$$

These types of pipes are generally connected with bell and spigot joints or flanged joints:

A

Soil and waste

B

Water and gas

C

Water and steam

D

Gas and soil

The drive-shafts are connected to the differential and wheel hubs through universal joints because the universal joints

A

Absorb the vibrations transferred from the surface of the road

B

Compensate for variations in the relative positions of the differential and the wheels which result from bumpy road surfaces or other similar driving conditions.

C

Absorb any difference in speed between the left and right wheels when the vehicle is turning

D

None of the above

The relation between number of pairs (p) forming a kinematic chain and the number of links ($$l$$) is

A

$$l$$ = 2p - 2

B

$$l$$ = 2p - 3

C

$$l$$ = 2p - 4

D

$$l$$ = 2p - 5

The Kutzbach criterion for determining the number of degrees of freedom (n) is (where $$l$$ = number of links, j = number of joints and h = number of higher pairs)

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