RRB NTPC 2025 previous year paper practice · PYQ-pattern set

RRB NTPC 2025 PYQ-pattern questions

Showing 10 of the 97 PYQ-pattern questions in this set — freshly worded in that year's pattern, not the original questions. Answers and solutions open under each question.

1. Q1 · Percentage

   The population of a town increased by 15% in the first year and decreased by 20% in the second year. What is the net percentage change?

   • A. 5% decrease
   • B. 8% decrease
   • C. 7% decrease
   • D. 8% increase
   Answer and solution

   Answer: B

   Let initial population = 100. After first year = 115. After second year = 115 × 0.8 = 92. Net change = 92 - 100 = -8, so 8% decrease.

2. Q2 · Decimals and Fractions

   What is the value of 0.8 × 0.8 + 0.6 × 0.6 - 2 × 0.8 × 0.6?

   • A. 0.02
   • B. 0.04
   • C. 0.10
   • D. 0.20
   Answer and solution

   Answer: B

   This is in the form (a - b)² = a² + b² - 2ab. So (0.8 - 0.6)² = (0.2)² = 0.04.

3. Q3 · Number System

   The sum of two numbers is 84 and their difference is 18. What is the smaller number?

   • A. 33
   • B. 42
   • C. 51
   • D. 48
   Answer and solution

   Answer: A

   Let the numbers be x and y where x > y. Then x + y = 84 and x - y = 18. Solving these equations: 2y = 66, so y = 33.

4. Q4 · Simple and Compound Interest

   A sum of money becomes ₹8,640 in 2 years and ₹9,504 in 3 years at compound interest compounded annually. What is the rate of interest per annum?

   • A. 8%
   • B. 10%
   • C. 12%
   • D. 15%
   Answer and solution

   Answer: B

   Interest for 1 year = 9504 - 8640 = ₹864. Rate = (864/8640) × 100 = 10% per annum.

5. Q5 · Number System

   If a number when divided by 7 leaves a remainder of 4, what will be the remainder when the same number is divided by 14?

   • A. 4 or 11
   • B. 3 or 10
   • C. 2 or 9
   • D. 5 or 12
   Answer and solution

   Answer: A

   When N = 7k + 4, dividing by 14 gives remainder 4 (if k is even) or 11 (if k is odd), since 7×1 + 4 = 11.

6. Q6 · Mensuration

   The length of a rectangle is increased by 30% and its breadth is decreased by 20%. What is the percentage change in its area?

   • A. 4% increase
   • B. 4% decrease
   • C. 10% increase
   • D. No change
   Answer and solution

   Answer: A

   New area = 1.30 × 0.80 = 1.04 times the original area, representing a 4% increase.

7. Q7 · Ratio and Proportion

   The ratio of the ages of father and son is 7:3. After 10 years, the ratio will be 9:5. What is the present age of the son?

   • A. 12 years
   • B. 15 years
   • C. 18 years
   • D. 21 years
   Answer and solution

   Answer: B

   Let present ages be 7x and 3x. After 10 years: (7x+10)/(3x+10) = 9/5. Solving: 35x+50 = 27x+90, x=5. Son's age = 3×5 = 15 years.

8. Q8 · Simple and Compound Interest

   A sum of ₹8,000 is invested at 5% per annum simple interest. What will be the total interest earned after 3 years?

   • A. ₹1,000
   • B. ₹1,200
   • C. ₹1,500
   • D. ₹1,800
   Answer and solution

   Answer: B

   Simple Interest = (P × R × T) / 100 = (8000 × 5 × 3) / 100 = ₹1,200.

9. Q9 · Elementary Statistics

   Find the mean of the following numbers: 12, 18, 24, 30, 36.

   • A. 22
   • B. 24
   • C. 26
   • D. 28
   Answer and solution

   Answer: B

   Mean = Sum of observations / Number of observations = (12+18+24+30+36)/5 = 120/5 = 24.

10. Q10 · Completion of Number and Alphabetical Series

    Find the next term in the alphabetical series: B, E, H, K, ?

    • A. L
    • B. M
    • C. N
    • D. O
    Answer and solution

    Answer: C

    Each letter is 3 positions ahead of the previous one. K + 3 = N.