Robocon 2017 - Aptitude Test

1. 2, 6, 12, 20, 30, 42, 56, (...)

61

72

64

70

2. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

48 paise

54 paise

56 paise

72 paise

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

30°

60°

45°

54°

4. What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?

9800

9600

9400

9200

5. How many terms are there in the G.P. 4, 8, 16, 32, ... , 1024?

9

8

7

6

6. Find the odd man out. 2, 5, 10, 17, 26, 38, 50, 65

50

38

26

65

7. The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre.

16500

18000

12000

19500

8. Find the odd man out. 1, 3, 9, 12, 19, 29

12

3

29

19

9. A train has a length of 150 meters . it is passing a man who is moving at 2 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.

182 km/hr

180 km/hr

185km/hr

172 km/hr

1

Explanation

1

10. The angle of elevation of 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:

2.3 m

4.6 m

7.8 m

9.2 m

11. (132)7 × (132)? = (132)11.5.

3

3.5

4

4.5

12. (log₃4) (log₄5) (log₅6) (log₆7) (log₇8) (log₈9) (log₉9) = ?

4

2

1

13. The difference between the length and breadth of a rectangle is 23m. If its perimeter is 206m, then its area is:

1520 m^2

2420m^2

2480 m^2

2520 m^2

14. The average weight of A,B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is :

17 kg

20kg

26kg

31kg

15. The price of commodity P increases by 40 paise every year, while the price of commodity Q increases by 15 paise every year. If in 2001, the price of commodity P was Rs. 4.20 and that of Q was Rs. 6.30, in which year commodity P will cost 40 paise more than the commodity Q ?

2008

2009

2010

2011

16. If 20% of a = b, then b% of 20 is the same as:

10% of a

4% of a

20% of a

25% of a

17. The sum of ages of 5 children born at the intervals of 3 years each is 50 years. Find out the age of the youngest child?

6 years

5 years

4 years

3 years

18. The sum of age of 5 children born at interval of 3 years each is 50 years. What is the age of the youngest child?

4 years

8 years

10 years

None of these

19. A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wall (√3=1.73)

4.32 m

17.3 m

5 m

8.65 m

20. A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?

12

5

7

9

21. A can run 224 metre in 28 seconds and B in 32 seconds. By what distance A beat B?

36 metre

24 metre

32 metre

28 metre

22. What decimal of an hour is a second ?

0.0025

0.0256

0.00027

0.000126

23. Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?

28

40

64

42

24. 0.024*0.0162 is equal to :

6.48*10^(-3)

6.48*10^(-4)

6.48*10^(-5)

6.48*10^(-6)

25. . Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?

88

70

62

50

26. If log₁₀5 + log₁₀(5x+1) = log₁₀(x+5) + 1, then x is equal to:

4

3

2

1

b% of 20=20×b100

Explanation

b% of 20=20×b100

27. A die is rolled twice. What is the probability of getting a sum equal to 9?

2 / 3

2 / 9

1 / 3

1 / 9

28. (0.04)-2.5 = ?

125

25

625

3125

29. Two pipes A and B can fill a tank in 15 minutes and 40 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

10 min 10 sec

25 min 20 sec

29 min 20 sec

20 min 10 sec

30. A man's speed with the current is 15 km/hr and the speed of the current is 2.5km/hr. The man's speed against the current is :

8.5 km/hr

9 km/hr

10 km/hr

12.5 km/hr

31. Which one do you like?

Option 1

Option 2

Option 3

Option 4