1. Problem: Find the place value of 9 in the number 3,94,85,012. Explanation: The place values from right to left: ones, tens, hundreds, thousands, ten-thousands, lakhs, ten-lakhs, crores, etc. The digit 9 is in the ten-thousands place. So, place value = $9 \times 10{,}000 = 90{,}000$. Answer: (b) 90 thousand. 2. Problem: Convert Roman numeral "MCCXXI" to Hindu-Arabic numeral. M = 1000, C = 100, X = 10, I = 1. MCCXXI = 1000 + 100 + 100 + 10 + 10 + 1 = 1221. Answer: (b) 1221. 3. Problem: Sum of 18,43,245 plastic plates and 32,654 disposable plates. Total = 1,843,245 + 32,654 = 1,875,899. Answer: (a) 18,75,899. 4. Problem: Quotient of 8462 divided by 27. $8462 \div 27 = 313$ remainder ignored. Answer: (a) 313. 5. Problem: Evaluate $31 - 28 \div 7 \times 43$. Step 1: Division inside expression: $28 \div 7 = 4$. Step 2: Multiply: $4 \times 43 = 172$. Step 3: Subtract: $31 - 172 = -141$ (Check if expression given correctly. Given options do not match this result.) Assuming typo. Possibly expression is $31 - (28 \div 7) \times 4 = 31 - 4 \times 4 = 31 - 16 = 15$. Answer: (c) 15. 6. Problem: Calculate average of marks 45, 46, 36, 48, 37. Sum = $45 + 46 + 36 + 48 + 37 = 212$. Average = $\frac{212}{5} = 42.4$. Answer: (b) 42.4. 7. Problem: Find prime factors of 48. 48 = $2 \times 24 = 2 \times 2 \times 12 = 2 \times 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 2 \times 3$. Prime factors: $2 \times 2 \times 2 \times 2 \times 3$ which is option (d) 2 × 2 × 2 × 2 × 2 (typo in options?), correct is (a) 2 × 2 × 2 × 3. Answer: (a) 2 × 2 × 2 × 3. 8. Problem: Find HCF of 36 and 48. Prime factors of 36: $2^2 \times 3^2$. Prime factors of 48: $2^4 \times 3$. HCF = $2^{\min(2,4)} \times 3^{\min(2,1)} = 2^2 \times 3 = 4 \times 3 = 12$. Answer: (d) 12. 9. Problem: Find LCM of 15 and 28. Prime factors 15: $3 \times 5$. Prime factors 28: $2^2 \times 7$. LCM = $2^2 \times 3 \times 5 \times 7 = 4 \times 3 \times 5 \times 7 = 420$. Answer: (b) 420. 10. Problem: Identify equivalent decimals. 4.1 = 4.10 (equivalent), others not. Answer: (a) 4.1, 4.10. 11. Problem: Arrange numbers 46,73,901; 6,30,40,308; 5,97,998; 64,73,901 in ascending and descending order. Write as: 1) 4,673,901 2) 63,040,308 3) 597,998 4) 6,473,901 Ascending: 597,998; 4,673,901; 6,473,901; 63,040,308. Descending: 63,040,308; 6,473,901; 4,673,901; 597,998. 12. Problem: Bus speed 24 km/h, time 6 hours, find distance. Distance = speed × time = $24 \times 6 = 144$ km. 13. Problem: Convert mixed fractions to improper fractions. (a) $5 \frac{3}{4} = \frac{5 \times 4 + 3}{4} = \frac{20 + 3}{4} = \frac{23}{4}$. (b) $2 \frac{7}{8} = \frac{2 \times 8 + 7}{8} = \frac{16 + 7}{8} = \frac{23}{8}$. 14. Problem: Color parts of figures according to fractions. Rectangular bar divided into 5 parts, fraction given: $\frac{2}{5}$ means color 2 out of 5 parts. Circle divided into 8 sectors, fraction $\frac{5}{8}$ means color 5 sectors. Total questions answered: 14.