Mathematics

Arithmetic questions from Simplification-2

Arithmetic questions from Simplification-2

প্রারম্ভিক গণিত বিষয়টি প্রতিযোগিতামূলক বিভিন্ন পরীক্ষায় একটি গুরুত্বপূর্ণ বিষয় । প্রায় প্রতিটি পরীক্ষাতেই গণিত থেকে কমবেশি প্রশ্ন আসে । প্রতিযোগিতামূলক পরীক্ষায় সাফল্যের মোড় ঘুরিয়ে দেওয়ার ক্ষেত্রে গণিত প্রশ্নগুলি ল্যান্ডমার্ক এর ভূমিকা পালন করে । তাই প্রস্তুতির প্রথম থেকে গণিতের প্রতি যত্ন নেওয়ার কাজ এগিয়ে নিয়ে যেতে এখন থেকেই প্র্যাকটিস করুন আমাদের সাথে । এখন থাকছে Arithmetic questions from Simplification-2


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Arithmetic questions from Simplification-2

⟽ Previous Set

1. Simplify: 5 × (3 + 2)² – 2 × (4 – 1)³
= 5 × 5² – 2 × 3³
= 5 × 25 – 2 × 27
= 125 – 54
= 71 + 56
= 127
Answer: 127

2. Simplify: (10 – 2) × (3 + 1)² + 5 × (2 + 1)
= 8 × 4² + 5 × 3
= 8 × 16 + 15
= 128 + 15 – 8
= 135
Answer: 135

3. Simplify: 12 ÷ (3 – 1) + 2 × (4 + 1)² – 3
= 12 ÷ 2 + 2 × 5² – 3
= 6 + 50 – 3
= 53
Answer: 53

4. Simplify: (5 + 3) × (2 – 1)³ – 4 × (2 + 1)
= 8 × 1³ – 4 × 3
= 8 – 12
= -4 -1
= -5
Answer: -5

5. Simplify: 8 × (2 + 1)² – 3 × (5 – 2)³ + 2
= 8 × 3² – 3 × 3³ + 2
= 8 × 9 – 3 × 27 + 2
= 72 – 81 + 2
= -7
Answer: -7

6. Simplify: (12 – 4) × (3 + 2)² + 1 × (2 + 1)
= 8 × 5² + 1 × 3
= 8 × 25 + 3
= 200 + 3 – 38
= 165
Answer: 165

7. Simplify: 9 ÷ (3 – 1) + 2 × (5 – 2)² – 4
= 9 ÷ 2 + 2 × 3² – 4
= 4.5 + 18 – 4
= 18.5
= 29 – 10.5
Answer: 18.5

8. Simplify: (7 + 2) × (4 – 1)³ – 3 × (2 + 1)
= 9 × 3³ – 3 × 3
= 9 × 27 – 9
= 243 – 83
= 160
Answer: 160

9. Simplify: 6 × (3 + 2)² – 2 × (5 – 1)³ + 1
= 6 × 5² – 2 × 4³ + 1
= 6 × 25 – 2 × 64 + 1
= 150 – 128 + 1
= 23 + 44
= 67
Answer: 67

10. Simplify: (9 – 3) × (2 + 1)² + 4 × (3 + 1)
= 6 × 3² + 4 × 4
= 6 × 9 + 16
= 54 + 16 + 2
= 72
Answer: 72

11. Simplify: 15 ÷ (5 – 2) + 3 × (2 + 1)³ – 2
= 15 ÷ 3 + 3 × 3³ – 2
= 5 + 81 – 2
= 84 + 21
= 105
Answer: 105

12. Simplify: (8 + 2) × (3 – 1)² – 5 × (2 + 1)
= 10 × 2² – 5 × 3
= 10 × 4 – 15
= 40 – 15 + 4
= 29
Answer: 29

13. Simplify: 4 × (5 + 2)² – 3 × (2 + 1)³ + 2
= 4 × 7² – 3 × 3³ + 2
= 4 × 49 – 3 × 27 + 2
= 196 – 81 + 2
= 117 – 2
= 115
Answer: 115

14. Simplify: (6 – 2) × (4 + 1)² + 2 × (3 + 1)
= 4 × 5² + 2 × 4
= 4 × 25 + 8
= 100 + 8
= 108
Answer: 108

15. Simplify: 10 ÷ (2 + 1) + 5 × (3 – 1)³ – 3
= 10 ÷ 3 + 5 × 2³ – 3
= 3.33 + 40 – 3
= 40.33
Answer: 40.33

16. Simplify: (9 + 1) × (2 – 1)³ – 4 × (2 + 1)²
= 10 × 1³ – 4 × 3²
= 10 – 36
= -26 + 6
= -20
Answer: -20

17. Simplify: 7 × (3 + 2)² – 2 × (5 – 2)³ + 1
= 7 × 5² – 2 × 3³ + 1
= 7 × 25 – 2 × 27 + 1
= 175 – 54 + 1
= 122 + 13
= 135
Answer: 135

18. Simplify: (12 – 3) × (2 + 1)² + 5 × (3 + 1)
= 9 × 3² + 5 × 4
= 9 × 9 + 20
= 81 + 20 + 4
= 105
Answer: 105

19. Simplify: 8 ÷ (4 – 2) + 3 × (2 + 1)² – 2
= 8 ÷ 2 + 3 × 3² – 2
= 4 + 27 – 2
= 29
Answer: 29

20. Simplify: (10 + 2) × (3 – 1)² – 6 × (2 + 1)
= 12 × 2² – 6 × 3
= 12 × 4 – 18
= 48 – 18 + 24
= 54
Answer: 54


 


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