Aptitude Archives

1. 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 30° and 45° 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

✅ The correct answer is option .

2. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

[A]. 43 units

[B]. 8 units

[C]. 12 units

[D]. Data inadequate

✅ The correct answer is option .

3. The angle of elevation of a ladder leaning against a wall is 60° 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]. 7.8 m

[D]. 9.2 m

✅ The correct answer is option .

4. From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is:

[A]. 149 m

[B]. 156 m

[C]. 173 m

[D]. 200 m

✅ The correct answer is option .

5. 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]. 30°

[B]. 45°

[C]. 60°

[D]. 90°

✅ The correct answer is option .

6. 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 30°. The height of the tower is:

[A]. 21.6 m

[B]. 23.2 m

[C].24.72 m

[D]. None of these

✅ The correct answer is option .

7. Find the odd man out.: 6, 9, 15, 21, 24, 28, 30

[A]. 28

[B]. 21

[C]. 24

[D]. 30

✅ The correct answer is option A.
Each of the numbers except 28, is a multiple of 3.

8. Insert the missing number.: 1, 8, 27, 64, 125, 216, (….)

[A]. 354

[B]. 343

[C]. 392

[D]. 245

✅ The correct answer is option B.
Numbers are 13, 23, 33, 43, 53, 63.
So, the missing number is 73 = 343.

9. Find out the wrong number in the series.: 190, 166, 145, 128, 112, 100, 91

[A]. 100

[B]. 166

[C]. 145

[D]. 128

✅ The correct answer is option D.
Go on subtracting 24, 21, 18, 15, 12, 9 from the numbers to get the next number.
190 – 24 = 166
166 – 21 = 145
145 – 18 = 127 [Here, 128 is placed instead of 127]
127 – 15 = 112
112 – 12 = 100 … and so on.

Therefore, 128 is wrong.

10. Find out the wrong number in the given sequence of numbers.: 52, 51, 48, 43, 34, 27, 16

[A]. 27

[B]. 34

[C]. 43

[D]. 48

✅ The correct answer is option B.
Subtract 1, 3, 5, 7, 9, 11 from successive numbers.
So, 34 is wrong.