# Zoho Geometry and Mensuration Quiz 1

Question 1

Time: 00:00:00
Interior angles of a triangle are in the ratio of 17: 3:10, then find the smallest angle.

$15^{\circ}$

$15^{\circ}$

$12^{\circ}$

$12^{\circ}$

$18^{\circ}$

$18^{\circ}$

$25^{\circ}$

$25^{\circ}$

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Question 2

Time: 00:00:00
If the circumference of one circle is $\frac{7}{5}$ times that of the other, how many times the area of the smaller one is the larger one?

$\frac{7}{5}$

$\frac{7}{5}$

$\frac{49}{25}$

$\frac{49}{25}$

$\frac{22}{7}$

$\frac{22}{7}$

$\frac{59}{25}$

$\frac{59}{25}$

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Question 3

Time: 00:00:00
A circular garden with a radius of 13 m is surrounded by a circular path of width of 7 m. If the path is to be covered with tiles at the rate of Rs 161 per Sq.m, then find the total cost of the work.

93837 Rs

93837 Rs

47183 Rs

47183 Rs

177606 Rs

177606 Rs

382985 Rs

382985 Rs

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Question 4

Time: 00:00:00
The triangle PQR is right-angled at Q. the sides containing the right angle are 11 m and 60 m. Find the length of the altitude QD drawn from Q to the hypotenuse PR.

5.45

5.45

10.82

10.82

15.25

15.25

6.05

6.05

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Question 5

Time: 00:00:00
Triangles ABC and DEF are similar, If $\angle$  C = $\angle$  F,and $\angle$  B = $\angle$  E,  AB = 3.6 cm, DE = 1.8 cm, BC = 4.2 cm and DF = 1.7 cm then find EF and AC.

1.2 , 2.8

1.2 , 2.8

2.1, 3.4

2.1, 3.4

0.6, 2.1

0.6, 2.1

1.5, 3.2

1.5, 3.2

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Question 6

Time: 00:00:00
Ariana Grande and Billie Eilish leave at the same time. Ariana travels south at a speed of 18 km/hr and Bellie towards the east at a speed of 14 km/hr. What is the distance between Ariana and Bellie after 6 hours?

17$\sqrt{110}$

17$\sqrt{110}$

12$\sqrt{130}$

12$\sqrt{130}$

10$\sqrt{390}$

10$\sqrt{390}$

15$\sqrt{101}$

15$\sqrt{101}$

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Question 7

Time: 00:00:00
Kapil bought a new toy car which makes 125 revolutions in moving 143 m. Find the diameter of the wheel.

2cm

2cm

0.364 cm

0.364 cm

5.24 cm

5.24 cm

3.45 cm

3.45 cm

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Question 8

Time: 00:00:00
In a circle of radius 35 cm find the length of the major arc AB, If it is given that minor arc AB subtends 90 degree angle at the center O.

153 cm

153 cm

165 cm

165 cm

212 cm

212 cm

142 cm

142 cm

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Question 9

Time: 00:00:00
Two circles of radii 4cm and 5 cm touch externally, Find the length of their direct common tangent.

8

8

9

9

$2\sqrt{3}$

$2\sqrt{3}$

$4\sqrt{5}$

$4\sqrt{5}$

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Question 10

Time: 00:00:00
A platinum wire is bent in the shape of a square, enclosing an area of 237.16 sq.cm. If the same wire is bent in the form of a circle, find the radius of the circle.

16.4

16.4

9.8

9.8

7.6

7.6

13.6

13.6

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