Top 50 Mathematical Questions for RRB JE Exam
Preparing for the RRB (Railway Recruitment Board) Junior Engineer (JE) exam requires a solid understanding of various mathematical concepts. To help you excel in this exam, we have compiled a list of the top 50 mathematical questions that commonly appear in the RRB JE exam. These questions cover a wide range of topics, including arithmetic, algebra, geometry, and more. Let's dive in and enhance your mathematical skills.
1. Arithmetic:
Q1. What is the value of 3 + 4 * 2?
a) 7
b) 11
c) 14
d) 9
Q2. If the cost of 4 books is Rs. 320, what is the cost of 8 books?
a) Rs. 640
b) Rs. 480
c) Rs. 320
d) Rs. 560
2. Algebra:
Q3. Solve the equation 2x + 5 = 17.
a) x = 6
b) x = 7
c) x = 8
d) x = 9
Q4. Simplify the expression 3(x + 4) - 2x.
a) x + 12
b) 3x + 12
c) 5x + 12
d) 3x + 8
3. Geometry:
Q5. What is the measure of the interior angles of a triangle?
a) 90 degrees
b) 180 degrees
c) 360 degrees
d) 120 degrees
Q6. Calculate the area of a rectangle with length 6 cm and width 4 cm.
a) 12 cm²
b) 18 cm²
c) 24 cm²
d) 10 cm²
4. Number Systems:
Q7. What is the square root of 144?
a) 10
b) 12
c) 14
d) 16
Q8. Convert the binary number 10110 to decimal.
a) 16
b) 18
c) 20
d) 22
5. Mensuration:
Q9. Find the perimeter of a square with a side length of 5 cm.
a) 15 cm
b) 20 cm
c) 25 cm
d) 30 cm
Q10. Calculate the volume of a sphere with a radius of 3 cm. (Take π = 3.14)
a) 113.04 cm³
b) 84.78 cm³
c) 36.78 cm³
d) 25.12 cm³
6. Percentages:
Q11. If a shirt is initially priced at Rs. 800 and is discounted by 20%, what is the final selling price?
a) Rs. 640
b) Rs. 720
c) Rs. 560
d) Rs. 640
Q12. A shopkeeper sells an article at a profit of 25%. If the cost price is Rs. 400, what is the selling price?
a) Rs. 400
b) Rs. 500
c) Rs. 600
d) Rs. 700
7. Probability and Statistics:
Q13. A dice is rolled. What is the probability of getting an even number?
a) 1/2
b) 1/3
c) 1/4
d) 1/6
Q14. The following data represents the number of goals scored by a soccer team in 10 matches: 2, 1, 3, 4, 2, 1, 2, 0, 1, 3. What is the mode of this data set?
a) 1
b) 2
c) 3
d) 4
8. Time and Work:
Q15. A machine can complete a task in 8 hours. If two machines of the same efficiency work together, how long will it take to complete the task?
a) 2 hours
b) 4 hours
c) 6 hours
d) 16 hours
Q16. A water tank can be filled by Pipe A in 4 hours and by Pipe B in 6 hours. How long will it take to fill the tank if both pipes are open together?
a) 2 hours
b) 2.4 hours
c) 3 hours
d) 4 hours
9. Ratio and Proportion:
Q17. The ratio of boys to girls in a class is 4:3. If there are 28 girls, how many boys are there?
a) 16
b) 20
c) 24
d) 32
Q18. If the cost of 10 notebooks is Rs. 120, what is the cost of 5 notebooks?
a) Rs. 30
b) Rs. 40
c) Rs. 60
d) Rs. 70
10. Trigonometry:
Q19. Find the value of cos(60°).
a) 1/2
b) √3/2
c) 1
d) 2
Q20. Calculate the value of sin(30°) + cos(60°).
a) 1
b) √3/2
c) 3/2
d) 2
11. Arithmetic:
Q21. The sum of two numbers is 35, and their difference is 9. What are the numbers?
a) 13, 22
b) 18, 17
c) 20, 15
d) 16, 19
Q22. Solve the equation: 2/5 * (3x + 4) = 6.
a) x = 8
b) x = 6
c) x = 7
d) x = 10
12. Algebra:
Q23. Factorize the expression: x² - 4.
a) (x - 2)(x + 2)
b) (x - 1)(x + 1)
c) (x + 2)(x - 2)
d) (x + 1)(x - 1)
Q24. Solve the equation: 5(x - 3) = 10x + 4.
a) x = 7
b) x = 4
c) x = 5
d) x = 6
13. Geometry:
Q25. Find the circumference of a circle with a radius of 6 cm. (Take π = 3.14)
a) 12.56 cm
b) 18.84 cm
c) 37.68 cm
d) 39.24 cm
Q26. Calculate the area of a trapezoid with a height of 8 cm, a base of 12 cm, and a top length of 6 cm.
a) 60 cm²
b) 48 cm²
c) 54 cm²
d) 72 cm²
14. Number Systems:
Q27. Convert the octal number 34 to decimal.
a) 22
b) 26
c) 28
d) 30
Q28. Find the LCM (Least Common Multiple) of 15 and 20.
a) 20
b) 30
c) 40
d) 60
15. Mensuration:
Q29. Calculate the surface area of a cone with a radius of 4 cm and a slant height of 5 cm. (Take π = 3.14)
a) 87.92 cm²
b) 78.5 cm²
c) 62.8 cm²
d) 50.24 cm²
Q30. Find the total surface area of a cube with an edge length of 6 cm.
a) 36 cm²
b) 72 cm²
c) 216 cm²
d) 144 cm²
Certainly! Here are the next 10 sample multiple-choice questions with options:
16. Percentages:
Q31. If the price of an item is increased by 20% and then decreased by 10%, what is the overall percentage change?
a) 8%
b) 10%
c) 12%
d) 16%
Q32. If a shop offers a discount of 25% on an item, what percentage of the original price will the customer pay?
a) 75%
b) 80%
c) 85%
d) 90%
17. Probability and Statistics:
Q33. A bag contains 5 red balls and 7 blue balls. If one ball is drawn at random, what is the probability of getting a blue ball?
a) 5/12
b) 7/12
c) 1/2
d) 2/3
Q34. The mean of five numbers is 15. If four of the numbers are 10, 12, 15, and 18, what is the fifth number?
a) 10
b) 12
c) 15
d) 18
18. Time and Work:
Q35. A can complete a task in 10 days and B can complete it in 15 days. How long will it take if both A and B work together?
a) 4 days
b) 5 days
c) 6 days
d) 7 days
Q36. A machine can produce 200 units in 8 hours. How many units can it produce in 5 hours?
a) 100 units
b) 125 units
c) 150 units
d) 160 units
19. Ratio and Proportion:
Q37. The ratio of boys to girls in a class is 5:3. If there are 40 girls, how many boys are there?
a) 20
b) 24
c) 30
d) 36
Q38. If the ratio of the lengths of two sides of a triangle is 3:4 and the perimeter is 28 cm, what is the length of the longer side?
a) 12 cm
b) 16 cm
c) 18 cm
d) 24 cm
20. Trigonometry:
Q39. Find the value of sin(90°).
a) 0
b) 1
c) 1/2
d) √2/2
Q40. Calculate the value of tan(45°) + cos(60°).
a) 1
b) √2
c) √3
d) 2
21. Arithmetic:
Q41. If a car travels at a speed of 60 km/h for 3 hours, how far does it travel?
a) 120 km
b) 180 km
c) 200 km
d) 360 km
Q42. Solve the equation: 5x + 8 = 23.
a) x = 3
b) x = 5
c) x = 6
d) x = 7
22. Algebra:
Q43. Factorize the expression: x² - 9.
a) (x - 3)(x + 3)
b) (x - 1)(x + 1)
c) (x + 3)(x - 3)
d) (x + 1)(x - 1)
Q44. Solve the equation: 2(x - 4) = 3x + 5.
a) x = -13
b) x = -9
c) x = -7
d) x = -5
23. Geometry:
Q45. Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. (Take π = 3.14)
a) 785 cm³
b) 942 cm³
c) 157 cm³
d) 250 cm³
Q46. Calculate the area of a parallelogram with a base of 12 cm and a height of 8 cm.
a) 48 cm²
b) 64 cm²
c) 96 cm²
d) 100 cm²
24. Number Systems:
Q47. Convert the hexadecimal number 2A to decimal.
a) 40
b) 42
c) 44
d) 46
Q48. Find the HCF (Highest Common Factor) of 36 and 48.
a) 6
b) 12
c) 18
d) 24
25. Mensuration:
Q49. Calculate the curved surface area of a cone with a radius of 3 cm and a slant height of 5 cm. (Take π = 3.14)
a) 47.1 cm²
b) 35.7 cm²
c) 30.6 cm²
d) 15.7 cm²
Q50. Find the lateral surface area of a cylinder with a radius of 6 cm and a height of 8 cm. (Take π = 3.14)
a) 301.44 cm²
b) 376.8 cm²
c) 452.16 cm²
d) 564.48 cm²
Good luck with your exam and have a great day!❤️
Here are the answers to the 50 questions:
1. d 2. c 3. b 4. a 5. b 6. a 7. b 8. c 9. a 10. d 11. a 12. d
13. d. 14. b 15. b 16. d 17. b 18. a 19. b 20. c 21. c 22. a 23. a 24. c 25. a26. c 27. b 28. d 29. a 30. c
31. a 32. b 33. b 34. c 35. b 36. b 37. d 38. b 39. b 40. a
41. d 42. c 43. c 44. a 45. b 46. b 47. b 48. b 49. a 50. c
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