RRB NTPC · Previous year papers · 2024
RRB NTPC 2024 previous year paper practice · PYQ-pattern set
18 PYQ-pattern questions modelled on the 2024 paper (which had 100) · 90 min
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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.
Q1 · LCM and HCF
The HCF of two numbers is 15 and their LCM is 300. If one of the numbers is 60, what is the other number?
- A. 60
- B. 75
- C. 90
- D. 100
Answer and solution
Answer: B
Using the formula: Product of two numbers = HCF × LCM. So 60 × other number = 15 × 300 = 4500. Therefore, other number = 4500 ÷ 60 = 75.
Q2 · Ratio and Proportion
The ratio of the ages of A and B is 5:7. After 6 years, their ages will be in the ratio 3:4. What is the present age of B?
- A. 28 years
- B. 35 years
- C. 42 years
- D. 49 years
Answer and solution
Answer: C
Let ages be 5x and 7x. After 6 years: (5x + 6)/(7x + 6) = 3/4. Cross-multiplying: 20x + 24 = 21x + 18, so x = 6. B's present age = 7 × 6 = 42 years.
Q3 · Mensuration
The area of a square is 2304 sq. cm. What is the length of its diagonal?
- A. 48√2 cm
- B. 52 cm
- C. 64 cm
- D. 72 cm
Answer and solution
Answer: A
Side of square = √2304 = 48 cm. Diagonal = side × √2 = 48√2 cm.
Q4 · 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 : READ :: MUSIC : ?
- A. WRITE
- B. LISTEN
- C. SING
- D. PLAY
Answer and solution
Answer: B
Just as a BOOK is READ, MUSIC is LISTENED to. Both represent the action performed with the respective medium.
Q5 · Decimals and Fractions
What is the value of (0.8 × 0.8 + 0.6 × 0.6 + 2 × 0.8 × 0.6)?
- A. 1.96
- B. 1.00
- C. 2.00
- D. 1.44
Answer and solution
Answer: A
Using (a + b)² = a² + b² + 2ab, this becomes (0.8 + 0.6)² = (1.4)² = 1.96.
Q6 · Time and Work
A can complete a work in 15 days and B can complete the same work in 20 days. If they work together, in how many days will they complete the work?
- A. 8.57 days
- B. 10 days
- C. 12 days
- D. 17.5 days
Answer and solution
Answer: A
Combined work per day = 1/15 + 1/20 = 7/60. Total days = 60/7 ≈ 8.57 days.
Q7 · Percentage
If 40% of a number is 120, then what is 75% of that number?
- A. 200
- B. 225
- C. 240
- D. 250
Answer and solution
Answer: B
The number = 120 × 100/40 = 300. Therefore, 75% of 300 = 225.
Q8 · Profit and Loss
A shopkeeper marks an article 25% above the cost price and allows a discount of 10%. If the cost price is ₹400, what is his profit percentage?
- A. 12.5%
- B. 15%
- C. 10%
- D. 18%
Answer and solution
Answer: A
Marked Price = 400 × 1.25 = ₹500. Selling Price = 500 × 0.90 = ₹450. Profit = 450 - 400 = ₹50. Profit % = (50/400) × 100 = 12.5%.
Q9 · Analogies
Choose the correct pair that completes the analogy: Doctor : Hospital :: Teacher : ?
- A. Book
- B. School
- C. Student
- D. Classroom
Answer and solution
Answer: B
A doctor works in a hospital, similarly a teacher works in a school.
Q10 · Elementary Algebra
If (x + 1/x) = 5, then what is the value of (x² + 1/x²)?
- A. 21
- B. 23
- C. 25
- D. 27
Answer and solution
Answer: B
(x + 1/x)² = x² + 1/x² + 2. So 25 = x² + 1/x² + 2. Therefore x² + 1/x² = 23.
Breakdown by subject
Mathematics
14 questions
General Intelligence and Reasoning
4 questions