RRB Group D · Previous year papers · 2022
RRB Group D 2022 previous year paper practice · PYQ-pattern set
18 PYQ-pattern questions modelled on the 2022 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 and LCM of two numbers are 18 and 1260 respectively. If one number is 126, find the other number.
- A. 162
- B. 180
- C. 198
- D. 216
Answer and solution
Answer: B
Using the formula: Product of two numbers = HCF × LCM. So, 126 × other number = 18 × 1260. Other number = (18 × 1260) / 126 = 180.
Q2 · Number System
The sum of two numbers is 45 and their HCF is 5. How many such pairs of numbers are possible?
- A. 2
- B. 3
- C. 4
- D. 5
Answer and solution
Answer: B
Let numbers be 5a, 5b with a,b coprime. Sum 5(a+b)=45 gives a+b=9. Coprime pairs summing to 9: (1,8),(2,7),(4,5). Check gcds: gcd(1,8)=1, gcd(2,7)=1, gcd(4,5)=1, gcd(3,6)=3 excluded. So 3 pairs.
Q3 · Mensuration
Find the area of a circle whose radius is 14 cm. (Use π = 22/7)
- A. 484 cm²
- B. 528 cm²
- C. 616 cm²
- D. 704 cm²
Answer and solution
Answer: C
Area = πr² = (22/7) × 14 × 14 = 22 × 2 × 14 = 616 cm².
Q4 · Elementary Statistics
The average of five numbers is 42. If one number is excluded, the average becomes 40. What is the excluded number?
- A. 45
- B. 48
- C. 50
- D. 52
Answer and solution
Answer: C
Sum of 5 numbers = 42 × 5 = 210. Sum of 4 numbers = 40 × 4 = 160. Excluded number = 210 - 160 = 50.
Q5 · Square Root
What is the square root of 256?
- A. 14
- B. 15
- C. 16
- D. 17
Answer and solution
Answer: C
√256 = 16, since 16 × 16 = 256.
Q6 · Algebra
If 3x + 7 = 22, then what is the value of x?
- A. 4
- B. 5
- C. 6
- D. 7
Answer and solution
Answer: B
3x = 22 - 7 = 15, so x = 15 ÷ 3 = 5.
Q7 · LCM and HCF
Find the LCM of 12, 18, and 24.
- A. 48
- B. 72
- C. 96
- D. 144
Answer and solution
Answer: B
Prime factorization: 12 = 2² × 3, 18 = 2 × 3², 24 = 2³ × 3. LCM = 2³ × 3² = 8 × 9 = 72.
Q8 · Number System
How many natural numbers less than 100 are divisible by both 3 and 4?
- A. 6
- B. 7
- C. 8
- D. 9
Answer and solution
Answer: C
Numbers divisible by both 3 and 4 must be divisible by LCM(3,4) = 12. Numbers less than 100 divisible by 12: 12, 24, 36, 48, 60, 72, 84, 96. Total = 8 numbers.
Q9 · Percentage
A number is increased by 20% and then decreased by 20%. What is the net percentage change?
- A. No change
- B. 2% increase
- C. 4% decrease
- D. 4% increase
Answer and solution
Answer: C
Net change = -[(20 × 20)/100] = -4%. Hence, there is a 4% decrease.
Q10 · 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
Squaring both sides: (x + 1/x)² = 25, so x² + 2 + 1/x² = 25. Therefore x² + 1/x² = 23.
Breakdown by subject
Mathematics
16 questions
General Intelligence and Reasoning
2 questions