The ratio of the pitch circle diameter in millimeters to the number of teeth, is called circular pitch.

The ratio of the number of teeth to the pitch circle diameter in millimeters, is called

A

circular pitch

B

diametral pitch

C

module

D

none of the mentioned

The ratio of pitch circle diameter in millimeters to the number of teeth, is called

A

Circular pitch

B

Diametral pitch

C

Module

D

None of these

Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.

A

Only A

B

Only B

C

Only C

D

None

Circle A is 4 cm in diameter; circle B is 5 cm in diameter, Circle C has its circumference equal to the sum of the circumferences of both A and B together, What will be the ratio of the area of circle C, with respect to the area of circle A and circle B respectively?

A

5.0625 and 1.84

B

3.875 and 1.84

C

5.0625 and 3.24

D

3.875 and 3.24

Which of the following statements is/are true? A: In a circle, PQ is a chord and OP and OQ are the radii of the circle. If ∠POQ = 90°, then ratio of the area of triangle POQ and that of circle will be 7: 22. B: Area of a circle is one-fourth of the product of ‘π’ and square of diameter of circle. C: Diameter of a semi-circle is 38(8/9)% of its perimeter.

A

Only A and B

B

Only B and C

C

Only A and C

D

All A, B and C

A certain dentist specializes in implanting gold and silver teeth in his patients mouths .He charges $ 650 for a gold tooth an $ 325. for a silver tooth. If his told fees for implanting gold and silver teeth last week were $ 15, 925 in total and he implanted five more gold teeth that silver teeth, how many teeth in total did he implant over the week?

A

33

B

32

C

31

D

34

Match List-I with List-II and select the correct answer using the codes given below: List-I (Animal) List-II (Teeth) (a) Cow (i) sharp curved teeth (b) Cat (ii) short front teeth (c) Snake (iii) continuously growing front teeth (d) Squirrel (iv) sharp teeth

A

(a) - (iii), (b) - (iv), (c) -(i), (d) - (ii)

B

(a) - (i), (b) - (ii), (c) -(iv), (d) - (iii)

C

(a) - (ii), (b) - (iii), (c) -(iv), (d) - (i)

D

(a) - (ii), (b) - (iv), (c) -(i), (d) - (iii)

The interference between a given pinion tooth and a gear tooth can be avoided by using 1. smaller pressure angle 2. larger pressure angle 3. Less number of teeth on the gear for a pinion with predefined number of teeth 4. More number of teeth on the gear for a pinion with predefined number of teeth Which of the above statements are correct?

A

1 and 4

B

1 and 3

C

2 and 4

D

2 and 3

Consider the following statements: In case of helical gears, teeth are cut at an angle to the axis of rotation of the gears. 1) Helix angle introduces another ratio called axial contact ratio. 2) Transverse contact ratio is equal to axial contact ratio in helical gears. 3) Large transverse contact ratio does not allow multiple teeth to share the load. 4) Large axial contact ratio will cause larger axial force component Which of the above statements are correct?

A

1 and 2

B

2 and 3

C

1 and 4

D

3 and 4

The relation between the pitch of the chain (p) and pitch circle diameter of the sprocket (D) is given by (where T = Number of teeth on the sprocket)

A

$${\text{p}} = {\text{D}}\sin \frac{{{{90}^ \circ }}}{{\text{T}}}$$

B

$${\text{p}} = {\text{D}}\sin \frac{{{{120}^ \circ }}}{{\text{T}}}$$

C

$${\text{p}} = {\text{D}}\sin \frac{{{{180}^ \circ }}}{{\text{T}}}$$

D

$${\text{p}} = {\text{D}}\sin \frac{{{{360}^ \circ }}}{{\text{T}}}$$

The ratio of the pitch circle diameter in millimeters to the number of teeth, is called circular pitch.

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