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

RRB ALP 2025 PYQ-pattern questions

Showing 10 of the 18 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 · Number System

   What is the sum of the first 15 natural numbers?

   • A. 105
   • B. 120
   • C. 125
   • D. 135
   Answer and solution

   Answer: B

   Using the formula n(n+1)/2, where n=15: 15×16/2 = 120.

2. Q2 · Percentage

   A man's salary is increased by 20% and then decreased by 15%. What is the net percentage change in his salary?

   • A. 2% increase
   • B. 5% decrease
   • C. 2% decrease
   • D. 5% increase
   Answer and solution

   Answer: A

   After 20% increase: 120. After 15% decrease on 120: 120×0.85=102, giving a net 2% increase.

3. Q3 · Decimals and Fractions

   What is the value of (3/5) + (2/7)?

   • A. 31/35
   • B. 29/35
   • C. 27/35
   • D. 33/35
   Answer and solution

   Answer: A

   Converting to common denominator 35: (21+10)/35 = 31/35.

4. Q4 · Time and Distance

   A train covers a distance of 450 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the journey. What is the original speed of the train?

   • A. 45 km/h
   • B. 50 km/h
   • C. 60 km/h
   • D. 75 km/h
   Answer and solution

   Answer: A

   Let original speed be x km/h. Time taken = 450/x. With increased speed: 450/x - 450/(x+5) = 1. Solving: 450(x+5) - 450x = x(x+5), hence x² + 5x - 2250 = 0. Using quadratic formula, x = 45 km/h.

5. Q5 · Simple and Compound Interest

   The compound interest on a certain sum at 10% per annum for 2 years is ₹1,050. What is the simple interest on the same sum at the same rate for the same period?

   • A. ₹1,000
   • B. ₹950
   • C. ₹900
   • D. ₹850
   Answer and solution

   Answer: A

   For CI: Amount = P(1 + r/100)² = P × 1.21. CI = P × 0.21 = 1050, so P = 5000. SI = (5000 × 10 × 2)/100 = ₹1,000.

6. Q6 · Trigonometry

   If tan A = 12/5, then what is the value of (sin A + cos A)?

   • A. 17/13
   • B. 13/17
   • C. 12/13
   • D. 5/13
   Answer and solution

   Answer: A

   If tan A = 12/5, then opposite = 12k, adjacent = 5k, hypotenuse = 13k. sin A = 12/13, cos A = 5/13. Hence sin A + cos A = 17/13.

7. Q7 · Analogies

   Select the option that is related to the third term in the same way as the second term is related to the first term: Book : Pages :: Tree : ?

   • A. Forest
   • B. Leaves
   • C. Branches
   • D. Root
   Answer and solution

   Answer: B

   A book is made up of pages; similarly, a tree has leaves as its numerous components.

8. Q8 · Age Calculations

   A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of the son?

   • A. 20 years
   • B. 22 years
   • C. 24 years
   • D. 26 years
   Answer and solution

   Answer: B

   Let son's age be x. Father's age = x+24. After 2 years: x+26 = 2(x+2), solving gives x+26 = 2x+4, so x = 22.

9. Q9 · Mathematical Operations

   If '+' means '÷', '−' means '+', '×' means '−', and '÷' means '×', then what is the value of 18 ÷ 3 − 12 + 4 × 5?

   • A. 54
   • B. 52
   • C. 50
   • D. 48
   Answer and solution

   Answer: B

   Replace symbols: 18 × 3 + 12 ÷ 4 − 5 = 54 + 3 − 5 = 52.

10. Q10 · Data Interpretation and Sufficiency

    Is the age of Prakash greater than that of Suresh? Statement I: Prakash is 3 years older than Manoj. Statement II: Suresh is 2 years younger than Manoj.

    • A. Statement I alone is sufficient
    • B. Statement II alone is sufficient
    • C. Both statements together are sufficient
    • D. Both statements together are not sufficient
    Answer and solution

    Answer: C

    From both statements: Prakash = Manoj + 3 and Suresh = Manoj − 2, so Prakash is 5 years older than Suresh. Both statements together are sufficient.