Explore topic-wise MCQs in Arithmetic Ability.

This section includes 80 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.

1.

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

A. 45º
B. 30º
C. 90º
D. 60º
Answer» C. 90º
Discussion
2.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two s

A. 200 m
B. 173 m
C. 300 m
D. 273 m
Answer» E.
Discussion
3.

The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

A. 30º
B. 45º
C. 60º
D. 90º
Answer» B. 45º
Discussion
4.

An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:

A. 21.6 m
B. 23.2 m
C. 24.72 m
D. None of these
Answer» B. 23.2 m
Discussion
5.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A. 173 m
B. 200 m
C. 273 m
D. 300 m
Answer» D. 300 m
Discussion
6.

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

A. 200
B. 200√3
C. 100√3
D. 250
Answer» C. 100√3
Discussion
7.

Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30 ̊ and 45 ̊ respectively. If the height of the tower is 50 m, the distance between the two men is (Take √3 = 1.73)

A. 136.5 m
B. 50 √3 m
C. 100 √3 m
D. 135.5 m
Answer» B. 50 √3 m
Discussion
8.

Two persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30 and 60 deg respectively. The distance between the persons is

A. 173.2m
B. 100m
C. 157.7m
D. 273.2m
Answer» B. 100m
Discussion
9.

Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take √3=1.73)

A. 173m
B. 200m
C. 273m
D. 300m
Answer» D. 300m
Discussion
10.

Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.

A. 11 m
B. 12 m
C. 13 m
D. 14 m
Answer» D. 14 m
Discussion
11.

Two men standing on same side of a pillar 75 metre high, observe the angles of elevation of the top of the pillar to be 30° and 60° respectively the distance between two men is

A. 100 3m
B. 100m
C. 753m
D. 253m
Answer» B. 100m
Discussion
12.

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A. 7.5 km
B. 10.5 km
C. 12.5 km
D. 15 km
Answer» D. 15 km
Discussion
13.

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is

A. 17 m
B. 27 m
C. 25 m
D. 30 m
Answer» D. 30 m
Discussion
14.

The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?

A. 84.14
B. 93.3
C. 98.25
D. 120.24
Answer» C. 98.25
Discussion
15.

The upper part of a tree broke at a certain height makes an angle of 60 ° with the ground at a distance of 10 m. from its feet. The original height of the tree was

A. 20√3 m.
B. 10√3 m.
C. 10(2+√3) m.
D. 10(2-­√3) m.
Answer» D. 10(2-­√3) m.
Discussion
16.

The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?

A. 63
B. 30
C. 25
D. 45
Answer» E.
Discussion
17.

The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

A. 42.2 mts
B. 33.45 mts
C. 66.6 mts
D. 58.78 mts
Answer» D. 58.78 mts
Discussion
18.

The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

A. 88.24
B. 106.71
C. 92.15
D. 112.64
Answer» D. 112.64
Discussion
19.

The shadow of a tower when the angle of elevation of the sun is 45°, is found to be 10 m longer than when it was 60° . The height of the tower is

A. 5(√3 - 1) m
B. 5(√3 + 1) m
C. 10 (√3 - 1) m
D. 10 (√3 + 1) m
Answer» C. 10 (√3 - 1) m
Discussion
20.

The shadow of a tower on ground level is increased by 30 m, when the angle of depression by the sun changes from 60 deg to 30 deg. The height of the tower is_x005F_x000D_

A. 12√3 m
B. 17√3 m
C. 16√3 m
D. 15√3 m
Answer» E.
Discussion
21.

The length of shadow of a tower is √3 times that of its length. The angle of elevation of the sun is

A. 45°
B. 30°
C. 60°
D. none
Answer» C. 60°
Discussion
22.

The height of a light house is 20 mts above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30 deg. What is the distance of the ship from the foot of the light house?

A. 16 m
B. 20√3 m
C. 20 m
D. 30 m
Answer» C. 20 m
Discussion
23.

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is

A. 4 m
B. 7 m
C. 9 m
D. 6 m
Answer» E.
Discussion
24.

The height and the slant height of a right circular cone are 24 cm and 25 cm, respectively. Considering π as 22/7 , find the curved surface area of the said cone.

A. 550 cm2
B. 572 cm2
C. 528 cm2
D. 539 cm2
Answer» B. 572 cm2
Discussion
25.

The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

A. 193.22
B. 144.04
C. 176.12
D. 161.05
Answer» E.
Discussion
26.

The angles of elevation of top and bottom of a flag kept on a flag post from 30 metres distance, are 45 and 30 deg respectively. Height of the flag is [taking √3 = 1.732]

A. 12 √3 m
B. 15 m
C. 14.32 m
D. 12.68 m
Answer» E.
Discussion
27.

The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?

A. 42
B. 20√3
C. 24√3
D. 48
Answer» E.
Discussion
28.

The angle of elevation of the top of a hill at the foot of the tower is 60 deg and the angle of elevation of the top of the tower from the foot of the hill is 30 deg. If the tower is 50 m high, what is the height of the hill?

A. 100 m
B. 120 m
C. 180 m
D. 150 m
Answer» E.
Discussion
29.

The angle of elevation of the top of a tower at a distance of 25 m from its foot is 60 deg. The approximate height of the tower is

A. 20.3 m
B. 15.3 m
C. 36.3 m
D. 43.3 m
Answer» E.
Discussion
30.

The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

A. 50√3
B. 100√3
C. 200√3
D. 300√3
Answer» C. 200√3
Discussion
31.

The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60 deg. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30 deg. How much did she walk from her initial position?_x005F_x000D_

A. 24√3 m
B. 12√3 m
C. 24 m
D. 36√3 m
Answer» E.
Discussion
32.

The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/hr. is

A. 600
B. 600 (√3 + 1)
C. 600 √3
D. 600 (√3 - 1)
Answer» E.
Discussion
33.

The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.2 m away from the wall. The length of the ladder is

A. 9.2 m
B. 11.4 m
C. 8.5 m
D. 13.5 m
Answer» B. 11.4 m
Discussion
34.

The angle of elevation of a bird from a point 60 m above the water in a pond is 30°. The angle of depression of the reflection of the bird under the water from the same point is 60°. Find the height of the bird in metres hovering over the pond._x005F_x000D_

A. 60
B. 150
C. 120
D. 90
Answer» D. 90
Discussion
35.

The angle of elevation of an aeroplane as observed from a point 30 m above the transparent water-surface of a lake is 30° and the angle of depression of the image of the aeroplane in the water of the lake is 60°. The height of the aeroplane from the water-surface of the lake is

A. 60 m
B. 45 m
C. 50 m
D. 75 m
Answer» B. 45 m
Discussion
36.

The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is

A. 2.3 m
B. 4.6 m
C. 9.2 m
D. 7.8 m
Answer» D. 7.8 m
Discussion
37.

The angle of depression of the foot of a building from the top of a tower 30 m away is 30 deg. How high is the tower?

A. 10√3 m
B. 20√3 m
C. 30 m
D. 20 m
Answer» B. 20√3 m
Discussion
38.

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

A. 50(3 + √3)
B. 100(√3 + 1)
C. 150
D. 100√3
Answer» B. 100(√3 + 1)
Discussion
39.

Seema flies a kite on a 16 m string at an inclination of 60 deg. What is the height (h) of the kite above the ground?_x005F_x000D_

A. 4√3 m
B. 8√3 m
C. 6√3 m
D. 16√3 m
Answer» C. 6√3 m
Discussion
40.

On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is

A. 5√3 m
B. 6√3 m
C. 6√2m
D. 6√5 m
Answer» C. 6√2m
Discussion
41.

Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

A. 6
B. 8
C. 9
D. 10
Answer» C. 9
Discussion
42.

If the length of the shadow of a vertical pole on the horizontal ground is √3 times its height, then the angle of elevation

A. 40 deg
B. 50 deg
C. 30 deg
D. 45 deg
Answer» D. 45 deg
Discussion
43.

If the elevation of the Sun changes from 30° to 60° , then the difference between the lengths of shadows of a pole 15 m high, is

A. 7.5 m
B. 15 m
C. 10√3 m
D. 5√3 m
Answer» D. 5√3 m
Discussion
44.

From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is

A. 60(√3­1)
B. 20(√3­1)
C. 20(3­√3)
D. 20(√3+1)
Answer» D. 20(√3+1)
Discussion
45.

From the top of a platform, the angle of elevation of a tower was 30 deg. The tower was 45 mts high and the horizontal distance between the platform and the tower was 40√3 m. What was the height of the platform?

A. 40 m
B. 5 m
C. 45√3 m
D. 20√3 m
Answer» C. 45√3 m
Discussion
46.

If an object travels at five feet per second, how many feet does it travel in one hour?

A. 30
B. 3000
C. 18
D. 1800
Answer» E.
Discussion
47.

From the top of a platform 7 m high, the angle of elevation of a tower was 30 deg. If the platform was positioned 50√3 m away from the tower, how tall was the tower?

A. 57 m
B. 50 m
C. (25√3 + 7) m
D. 25√3 m
Answer» E.
Discussion
48.

From the top of a building, the angles of elevation and depression of top and bottom of a tower are 60 deg and 30 deg respectively. If the height of the building is 5m, then the height of the tower is

A. 20 m
B. 15 m
C. 10√3 m
D. 5√3 m
Answer» B. 15 m
Discussion
49.

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the platform was positioned 40√3 m away from the tower, how tall was the tower?

A. 40 m
B. 20√3 m
C. 30√3 m
D. 45 m
Answer» E.
Discussion
50.

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the tower was 45 m high, how far away from the tower was the platform positioned?

A. 15√3 m
B. 40√3 m
C. 45√3 m
D. 40 m
Answer» C. 45√3 m
Discussion