SSC Stenographers - arithmetical reasoning Online Test (MCQ Quiz)

1. A train travels 150 meters in 15 seconds. What is its speed in km/hr?

A) 36 km/hr B) 54 km/hr C) 72 km/hr D) 90 km/hr

2. The sum of two numbers is 120 and their difference is 30. What are the numbers?

A) 75 and 45 B) 80 and 40 C) 70 and 50 D) 90 and 30

3. A person buys 10 articles for Rs. 100 and sells them for Rs. 120. What is the profit percentage?

A) 10% B) 15% C) 20% D) 25%

4. If 5 men can do a piece of work in 10 days, in how many days can 10 men do the same work?

A) 5 days B) 10 days C) 15 days D) 20 days

5. A clock shows 3:30 PM. Through what angle (in degrees) will the hour hand move in the next 30 minutes?

A) 5 degrees B) 10 degrees C) 15 degrees D) 30 degrees

6. The average of 5 numbers is 20. If one number is excluded, the average becomes 15. What is the excluded number?

A) 20 B) 25 C) 35 D) 40

7. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum?

A) 5% B) 10% C) 15% D) 20%

8. In a class, the number of boys is twice the number of girls. If there are 60 students in total, how many girls are there?

A) 15 B) 20 C) 30 D) 40

9. A shopkeeper marks the price of an article 20% above its cost price and then offers a 10% discount. What is his gain percentage?

A) 8% B) 10% C) 12% D) 18%

10. The perimeter of a square is 48 cm. What is its area?

A) 100 sq cm B) 121 sq cm C) 144 sq cm D) 169 sq cm

11. Two trains start at the same time from two stations, A and B, towards each other. The speed of the first train is 60 km/hr and the second is 40 km/hr. If the distance between stations A and B is 500 km, after how much time will they meet?

A) 4 hours B) 4.5 hours C) 5 hours D) 5.5 hours

12. A number is increased by 20% and then decreased by 20%. The net percentage change is:

A) 4% increase B) 4% decrease C) No change D) 20% decrease

13. The ratio of two numbers is 3:5. If the sum of the numbers is 80, what is the larger number?

A) 30 B) 40 C) 50 D) 60

14. A can complete a work in 10 days and B can complete it in 15 days. In how many days can they complete the work together?

A) 5 days B) 6 days C) 7 days D) 8 days

15. What is the smallest number that must be added to 3000 to make it a perfect square?

A) 58 B) 64 C) 72 D) 81

16. The difference between the ages of two brothers is 5 years. If the sum of their ages is 25 years, what is the age of the elder brother?

A) 10 years B) 15 years C) 20 years D) 25 years

17. A man walks 5 km North, then 4 km East, then 3 km South. How far is he from his starting point?

A) 3 km B) 4 km C) 5 km D) 6 km

18. If 15% of a number is 75, then what is 20% of that number?

A) 90 B) 100 C) 110 D) 120

19. The price of 10 pens is Rs. 50. What is the price of 15 pens?

A) Rs. 60 B) Rs. 70 C) Rs. 75 D) Rs. 80

20. A car travels the first 100 km at a speed of 50 km/hr and the next 100 km at a speed of 40 km/hr. What is the average speed for the entire journey?

A) 44.44 km/hr B) 45 km/hr C) 48.5 km/hr D) 50 km/hr

21. The sum of the ages of a father and son is 60 years. If the father's age is 3 times the son's age, what is the son's age?

A) 15 years B) 20 years C) 25 years D) 30 years

22. If a number is multiplied by 3 and 5 is subtracted from it, the result is 16. What is the number?

A) 5 B) 6 C) 7 D) 8

23. A rectangle has a length of 12 cm and a width of 8 cm. What is its area?

A) 20 sq cm B) 40 sq cm C) 96 sq cm D) 192 sq cm

24. In what ratio must rice at Rs. 50/kg be mixed with rice at Rs. 60/kg so that the mixture is worth Rs. 55/kg?

A) 1:1 B) 2:1 C) 1:2 D) 3:1

25. A man buys a watch for Rs. 500 and sells it for Rs. 600. What is his profit percentage?

A) 10% B) 20% C) 25% D) 30%

26. The sum of the first 10 even numbers is:

A) 100 B) 110 C) 120 D) 130

27. If the diagonal of a square is 10 cm, what is its area?

A) 25 sq cm B) 50 sq cm C) 75 sq cm D) 100 sq cm

28. A person travels from point A to B at 40 km/hr and returns from B to A at 60 km/hr. What is the average speed for the entire journey?

A) 48 km/hr B) 50 km/hr C) 52 km/hr D) 55 km/hr

29. The cost price of 10 articles is equal to the selling price of 8 articles. The gain percentage is:

A) 10% B) 15% C) 20% D) 25%

30. Three numbers are in the ratio 2:3:4. The sum of their squares is 116. What are the numbers?

A) 2, 3, 4 B) 4, 6, 8 C) 6, 9, 12 D) 8, 12, 16

31. A sum of money invested at compound interest becomes 8 times in 3 years. In how many years will it become 16 times?

A) 4 years B) 5 years C) 6 years D) 8 years

32. If 60% of a number is 300, then what is 80% of that number?

A) 350 B) 400 C) 450 D) 500

33. The length of a rectangle is twice its width. If its area is 72 sq cm, what is its perimeter?

A) 24 cm B) 30 cm C) 36 cm D) 48 cm

34. A sum of money is divided among A, B, and C in the ratio 2:3:7. If C's share is Rs. 2800, what is the total sum?

A) Rs. 4800 B) Rs. 5600 C) Rs. 6400 D) Rs. 7200

35. The average age of 10 students is 15 years. If the age of their teacher is included, the average age increases by 2 years. What is the age of the teacher?

A) 30 years B) 32 years C) 35 years D) 37 years

36. A shopkeeper sells two articles for Rs. 1000 each. On one, he gains 10% and on the other, he loses 10%. What is his overall gain or loss percentage?

A) 1% gain B) 1% loss C) 2% gain D) 2% loss

37. The product of three consecutive integers is 210. What is the largest integer?

A) 5 B) 6 C) 7 D) 8

38. A train passes a platform 100 meters long in 10 seconds and a pole in 2 seconds. What is the speed of the train?

A) 30 m/s B) 40 m/s C) 50 m/s D) 60 m/s

39. If 12 men can build a wall in 10 days, how many days will it take 15 men to build the same wall?

A) 8 days B) 9 days C) 10 days D) 12 days

40. What is the smallest number by which 72 must be multiplied to get a perfect square?

A) 1 B) 2 C) 3 D) 4

41. The ratio of the ages of A and B is 5:7. After 4 years, the ratio of their ages will be 3:4. What is the present age of A?

A) 10 years B) 15 years C) 20 years D) 25 years

42. A sum of Rs. 1200 is invested for 2 years at 10% per annum simple interest. What is the interest earned?

A) Rs. 200 B) Rs. 240 C) Rs. 250 D) Rs. 260

43. If 30% of a number is 150, what is 60% of that number?

A) 250 B) 300 C) 350 D) 400

44. The perimeter of a triangle is 30 cm. If two sides are 10 cm and 12 cm, what is the length of the third side?

A) 6 cm B) 8 cm C) 10 cm D) 12 cm

45. A boat travels downstream at 20 km/hr and upstream at 10 km/hr. What is the speed of the boat in still water?

A) 10 km/hr B) 12.5 km/hr C) 15 km/hr D) 17.5 km/hr

46. If the price of 5 kg of sugar is Rs. 150, how many kg of sugar can be bought for Rs. 300?

A) 8 kg B) 10 kg C) 12 kg D) 15 kg

47. A number is increased by 10% and then decreased by 10%. The net result is:

A) 1% increase B) 1% decrease C) No change D) 10% increase

48. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 greater than the original number. What is the original number?

A) 36 B) 45 C) 54 D) 63

49. A clock gains 5 minutes every hour. If it is set correctly at noon, what time will it show at 4 PM on the same day?

A) 4:15 PM B) 4:20 PM C) 4:25 PM D) 4:30 PM

50. The area of a circle is 154 sq cm. What is its circumference? (Use pi = 22/7)

A) 32 cm B) 38 cm C) 44 cm D) 50 cm

arithmetical reasoning - Online Test

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