RRB ALP 2023 previous year paper practice · PYQ-pattern set

RRB ALP 2023 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 · Decimals and Fractions

   Convert 0.625 to a fraction in its simplest form.

   • A. 5/8
   • B. 3/5
   • C. 2/3
   • D. 7/10
   Answer and solution

   Answer: A

   0.625 = 625/1000, which simplifies to 5/8 after dividing by 125.

2. Q2 · Time and Work

   A can complete a work in 20 days and B can complete the same work in 30 days. If they work together, how many days will it take to complete the work?

   • A. 10 days
   • B. 12 days
   • C. 14 days
   • D. 15 days
   Answer and solution

   Answer: B

   Combined rate = 1/20 + 1/30 = 5/60 = 1/12. Time taken = 12 days.

3. Q3 · Ratio and Proportion

   In a mixture of 60 liters, the ratio of milk to water is 4:1. How much water should be added to make the ratio 2:1?

   • A. 10 liters
   • B. 12 liters
   • C. 15 liters
   • D. 18 liters
   Answer and solution

   Answer: B

   Milk:Water = 4:1 in 60L gives milk=48, water=12. For ratio 2:1, water needed = 48/2 = 24. Water to add = 24 - 12 = 12 liters.

4. Q4 · Profit and Loss

   A shopkeeper marks the price of an article 40% above the cost price and allows a discount of 10%. What is his gain percent?

   • A. 26%
   • B. 28%
   • C. 30%
   • D. 32%
   Answer and solution

   Answer: A

   Let CP = ₹100. Marked price = 140% of 100 = ₹140. Selling price after 10% discount = 90% of 140 = ₹126. Gain = 126 - 100 = 26%.

5. Q5 · Algebra

   The sum of two numbers is 48 and their difference is 12. What is the larger number?

   • A. 28
   • B. 30
   • C. 32
   • D. 34
   Answer and solution

   Answer: B

   Let the numbers be x and y with x + y = 48 and x - y = 12. Adding both equations: 2x = 60, hence x = 30.

6. Q6 · Data Interpretation

   In a class of 50 students, 30 passed in Mathematics and 25 passed in Science. If 10 students failed in both subjects, how many students passed in both subjects?

   • A. 10
   • B. 15
   • C. 20
   • D. 25
   Answer and solution

   Answer: B

   Students who passed in at least one subject = 50 - 10 = 40. Using n(M ∪ S) = n(M) + n(S) - n(M ∩ S), we get 40 = 30 + 25 - n(M ∩ S). Hence n(M ∩ S) = 15.

7. Q7 · Age Calculations

   The sum of the present ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of his son. What is the present age of the son?

   • A. 12 years
   • B. 14 years
   • C. 15 years
   • D. 18 years
   Answer and solution

   Answer: B

   Let father=F, son=S, F+S=60. Six years ago: F-6=5(S-6). So F=5S-30+6=5S-24. Substitute: 5S-24+S=60, 6S=84, S=14.

8. Q8 · Square Root

   If √(x + 12) = 8, what is the value of x?

   • A. 48
   • B. 52
   • C. 56
   • D. 64
   Answer and solution

   Answer: B

   Squaring both sides: x + 12 = 64, therefore x = 64 - 12 = 52.

9. Q9 · Syllogism

   Statements: All pencils are pens. Some pens are erasers. Conclusions: I. Some pencils are erasers. II. Some erasers are pens.

   • A. Only conclusion I follows
   • B. Only conclusion II follows
   • C. Both I and II follow
   • D. Neither I nor II follows
   Answer and solution

   Answer: B

   From the statements, we can deduce that some erasers are pens (II follows). However, we cannot conclude that some pencils are erasers (I does not follow).

10. Q10 · Similarities and Differences

    Choose the odd one out from the following group: Car, Bus, Train, Bicycle, Aeroplane

    • A. Car
    • B. Bicycle
    • C. Train
    • D. Aeroplane
    Answer and solution

    Answer: B

    Bicycle is the odd one out because it does not require fuel or an engine, whereas all others are motorized vehicles.