arithmetical reasoning - One Line Questions

1. What is the smallest number by which 72 must be multiplied to get a perfect square? — 2
2. 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? — 1:1
3. 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? — 1% loss
4. A number is increased by 10% and then decreased by 10%. The net result is: — 1% decrease
5. A boat travels downstream at 20 km/hr and upstream at 10 km/hr. What is the speed of the boat in still water? — 15 km/hr
6. 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? — 15 years
7. 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? — 20 years
8. A person buys 10 articles for Rs. 100 and sells them for Rs. 120. What is the profit percentage? — 20%
9. A man buys a watch for Rs. 500 and sells it for Rs. 600. What is his profit percentage? — 20%
10. The cost price of 10 articles is equal to the selling price of 8 articles. The gain percentage is: — 25%
11. The sum of the first 10 even numbers is: — 110
12. The perimeter of a square is 48 cm. What is its area? — 144 sq cm
13. 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? — 20
14. 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? — 15 years
15. Three numbers are in the ratio 2:3:4. The sum of their squares is 116. What are the numbers? — 4, 6, 8
16. The average of 5 numbers is 20. If one number is excluded, the average becomes 15. What is the excluded number? — 40
17. A rectangle has a length of 12 cm and a width of 8 cm. What is its area? — 96 sq cm
18. The length of a rectangle is twice its width. If its area is 72 sq cm, what is its perimeter? — 36 cm
19. If the diagonal of a square is 10 cm, what is its area? — 50 sq cm
20. If 30% of a number is 150, what is 60% of that number? — 300
21. A man walks 5 km North, then 4 km East, then 3 km South. How far is he from his starting point? — 5 km
22. The ratio of two numbers is 3:5. If the sum of the numbers is 80, what is the larger number? — 50
23. A train passes a platform 100 meters long in 10 seconds and a pole in 2 seconds. What is the speed of the train? — 50 m/s
24. 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? — 32 years
25. The area of a circle is 154 sq cm. What is its circumference? (Use pi = 22/7) — 44 cm
26. If 60% of a number is 300, then what is 80% of that number? — 400
27. 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? — 36
28. A train travels 150 meters in 15 seconds. What is its speed in km/hr? — 36 km/hr
29. 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? — 5 hours
30. A sum of money invested at compound interest becomes 8 times in 3 years. In how many years will it become 16 times? — 4 years
31. 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? — 4:20 PM
32. A number is increased by 20% and then decreased by 20%. The net percentage change is: — 4% decrease
33. 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? — 44.44 km/hr
34. 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? — 48 km/hr
35. If a number is multiplied by 3 and 5 is subtracted from it, the result is 16. What is the number? — 7
36. The product of three consecutive integers is 210. What is the largest integer? — 7
37. If 5 men can do a piece of work in 10 days, in how many days can 10 men do the same work? — 5 days
38. 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? — 6 days
39. A clock shows 3:30 PM. Through what angle (in degrees) will the hour hand move in the next 30 minutes? — 15 degrees
40. A sum of money doubles itself in 10 years at simple interest. What is the rate of interest per annum? — 10%
41. What is the smallest number that must be added to 3000 to make it a perfect square? — 58
42. 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? — 8 cm
43. The sum of two numbers is 120 and their difference is 30. What are the numbers? — 75 and 45
44. If 12 men can build a wall in 10 days, how many days will it take 15 men to build the same wall? — 8 days
45. If the price of 5 kg of sugar is Rs. 150, how many kg of sugar can be bought for Rs. 300? — 10 kg
46. A shopkeeper marks the price of an article 20% above its cost price and then offers a 10% discount. What is his gain percentage? — 8%
47. If 15% of a number is 75, then what is 20% of that number? — 100
48. A sum of Rs. 1200 is invested for 2 years at 10% per annum simple interest. What is the interest earned? — Rs. 240
49. 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? — Rs. 5600
50. The price of 10 pens is Rs. 50. What is the price of 15 pens? — Rs. 75
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