RRB NTPC UG Practice SET-1 with Detailed Answer Key and Solutions

General Awareness
1. Which article of the Indian Constitution is invoked when President's Rule is imposed in a state due to failure of constitutional machinery?
Mathematics
2. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 360 m long?
Reasoning
3. In a certain code, PRODUCTIVE is written as QSPEVDUJWF. Which word is coded as HPWFSONFOU?
General Awareness
4. The PM Gati Shakti National Master Plan was launched to integrate infrastructure planning across how many central ministries?
Mathematics
5. If compound interest on a sum for 2 years at 12.5% per annum is Rs. 5,100, what is the simple interest on the same sum at the same rate for the same period?
Reasoning
6. Find the missing number in the series: 3, 7, 23, 71, 219, ___
General Awareness
7. Which entity became the first in the world to enforce a comprehensive dedicated Artificial Intelligence regulation through the 'EU AI Act' in 2024?
Mathematics
8. A merchant marks his goods at 40% above cost price and allows two successive discounts of 10% and 15%. His net result is:
Reasoning
9. Six people A, B, C, D, E, F sit in a row. D sits at the rightmost end. B sits to the immediate right of E. F is not at either end. C sits to the immediate left of A. E is exactly between F and D. Who sits at the leftmost end?
General Awareness
10. India's Chandrayaan-3 mission made a historic soft landing near which region of the Moon on 23 August 2023?
Mathematics
11. If x + 1/x = 5, find the value of x^4 + 1/x^4.
Reasoning
12. Pointing to a photograph, Ramesh says, "She is the daughter of the only son of my grandfather." How is the woman related to Ramesh?
General Awareness
13. The Doctrine of Lapse was introduced by Lord Dalhousie. Which was the LAST princely state annexed under this doctrine?
Mathematics
14. Pipe A fills a tank in 12 hours. Pipe B empties it in 18 hours. Pipe C fills it in 9 hours. All three are opened when tank is half full. How many hours to fill completely?
Reasoning
15. A cube is painted red on all faces and cut into 64 equal smaller cubes. How many small cubes have exactly 2 faces painted?
General Awareness
16. Under India's Wholesale Price Index (WPI) with base year 2011-12, what is the approximate weight assigned to Manufactured Products?
Mathematics
17. The average of 11 numbers is 35. The average of the first 6 is 31 and of the last 6 is 39. What is the 6th number?
Reasoning
18. Statements: All trees are plants. No plant is a flower. Some flowers are birds.
Conclusions: I. No tree is a flower. II. Some birds are not plants. III. Some trees are birds.
Which conclusions logically follow?
General Awareness
19. 'Operation Sindoor' launched by India in May 2025 targeted terrorist infrastructure primarily located in:
Mathematics
20. Two men start from points A and B (300 km apart), walking towards each other. Man from A walks at 7.5 km/h and man from B at 12.5 km/h. After how many hours do they meet, and how far from A?
Reasoning
21. Sum of all letter positions: CLOCK = 3+12+15+3+11 = 44, but coded as 33 (44-11=33, subtract last letter). FLOWER = 6+12+15+23+5+18 = 79, coded as 56 (79-23=56, subtract largest letter). Using same rule, what is the code for MOTHER?
General Awareness
22. Which Indian state was the first to pass the 'Right to Health Act', guaranteeing free emergency treatment at public and empanelled private facilities?
Mathematics
23. A cone and a cylinder have equal base radii and equal heights. If the volume of the cylinder is 462 cm^3, what is the volume of the cone?
Reasoning
24. In a row of 40 students, Riya is 16th from the left. Kavya is 17th from the right. How many students are between them?
General Awareness
25. Which article of the Indian Constitution prohibits employment of children below 14 years in any factory, mine, or hazardous employment?
Mathematics
26. A shopkeeper sells two articles each at Rs. 1,980. On one he gains 10% and on the other he loses 10%. What is his overall net result?
Reasoning
27. Statements: All dogs are cats. All cats are rats. No rat is a horse. Conclusions: I. No dog is a horse. II. All dogs are rats. III. Some rats are dogs. Which conclusions follow?
General Awareness
28. The 'Digital Personal Data Protection Act' was passed by India's Parliament in which year?
Mathematics
29. Rationalise: (root5 + root3) / (root5 - root3). If the result equals a + b*root15, find the values of a and b.
Reasoning
30. A man travels 12 km South, then 9 km East, then 12 km North, then 3 km West. What is his final displacement from the starting point?
General Awareness
31. The Kunming-Montreal Global Biodiversity Framework adopted at COP15 in December 2022 set a target (30x30) to protect what percentage of land and ocean by 2030?
Mathematics
32. A sum of money becomes Rs. 6,500 in 3 years and Rs. 7,500 in 5 years at Simple Interest. What is the principal amount?
Reasoning
33. Arrange in logical developmental order: 1. Seed   2. Fruit   3. Plant   4. Flower   5. Seedling
General Awareness
34. Under the GST constitutional framework, which article constitutes the GST Council?
Mathematics
35. 2 men and 3 boys can do a work in 10 days; 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy complete it?
Reasoning
36. A cube is painted red on all faces and then cut into 125 equal smaller cubes. How many small cubes have NO face painted?
General Awareness
37. Which vitamin deficiency causes Pellagra, and what is its classical triad of symptoms?
Mathematics
38. The diagonal of a square is 14*root2 cm. What is the area of the square?
Reasoning
39. Find the odd one out: 121, 169, 196, 225, 289
General Awareness
40. Which of the following countries is NOT a member of the QUAD (Quadrilateral Security Dialogue)?
Mathematics
41. A and B together can finish a job in 12 days. B and C together in 15 days. C and A together in 20 days. In how many days can all three finish the job together?
Reasoning
42. Five books P, Q, R, S, T are kept on a shelf. P is to the right of Q. S is to the left of T but to the right of P. R is to the right of T. What is the correct order from left to right?
General Awareness
43. Who authored the 'Arthashastra', the ancient Indian treatise on statecraft, economic policy, and military strategy?
Mathematics
44. In an examination, 40% of students failed in Maths, 30% failed in English, and 10% failed in both. What percentage of students passed in BOTH subjects?
Reasoning
45. In a class, 45 students play Cricket, 30 play Football, 20 play both. Every student plays at least one game. How many total students are there?
General Awareness
46. India's first indigenously developed mRNA-based vaccine (GEMCOVAC) was developed to combat which disease?
Mathematics
47. The LCM of two numbers is 2310 and their HCF is 30. If one number is 210, what is the other number?
Reasoning
48. What is the value of: sin^2(30) + cos^2(60) + tan^2(45) - cosec^2(30)?
General Awareness
49. Which was the first Indian state to implement the Uniform Civil Code (UCC)?
Mathematics
50. A sphere of radius 6 cm is melted and recast into a cone of height 48 cm. What is the radius of the cone's base?
Reasoning
51. In a code language, if 'CLOCK' is coded as 33 (sum of letter positions minus the value of the largest letter: 44-11=33) and 'FLOWER' is coded as 56 (79-23=56), what is the code for 'MOTHER'?
General Awareness
52. The Jallianwala Bagh massacre occurred on which date in 1919?
Mathematics
53. The ratio of ages of father and son 5 years ago was 7:2. The sum of their present ages is 75 years. What is the present age of the father?
Reasoning
54. If the code: A+B means A is the father of B; A-B means A is the wife of B; AxB means A is the brother of B; then what does P+Q-R signify?
General Awareness
55. The 'Saffron Revolution' of 2007 was a pro-democracy uprising associated with which country?
Mathematics
56. A data set: 8, 15, 21, 3, 7, 51, 4, 18. What is the MEDIAN of this data set?
Reasoning
57. There are 5 persons: A, B, C, D, E sitting in a row. B is between A and C. A is to the left of B. D is to the immediate right of C. E is at the extreme left. What is the correct order?
General Awareness
58. Which Article of the Indian Constitution empowers Parliament and state legislatures to make laws with respect to Goods and Services Tax?
Mathematics
59. A sum of money doubles itself at compound interest in 3 years. In how many years will it become 8 times?
Reasoning
60. A clock shows 3:15. What is the angle between the hour hand and the minute hand?

Detailed Answer Key and Solutions

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