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Discussion

If × stand for −, ÷ stands for +, + stands for ÷ and − stands for ×, then arrange the following in increasing order :

1. 15 − 5 ÷ 5 × 20 + 10
2. 8 ÷ 10 − 3 + 5 × 6
3. 6 × 2 + 3 ÷ 12 − 3
4. 3 ÷ 7 − 5 × 10 + 3

Choose the correct answer from the code given below :

  • A.4, 1, 3, 2
  • B.2, 4, 3, 1
  • C.4, 3, 2, 1
  • D.2, 4, 1, 3

Answer: B

The increasing order is 2, 4, 3, 1.

Replace the signs (× becomes −, ÷ becomes +, + becomes ÷, − becomes ×) and evaluate with division and multiplication first:

  1. 15 × 5 + 5 − 20 ÷ 10 = 75 + 5 − 2 = 78
  2. 8 + 10 × 3 ÷ 5 − 6 = 8 + 6 − 6 = 8
  3. 6 − 2 ÷ 3 + 12 × 3 = 6 − 0.67 + 36 = 41.33
  4. 3 + 7 × 5 − 10 ÷ 3 = 3 + 35 − 3.33 = 34.67

From smallest to largest: 8 (2), 34.67 (4), 41.33 (3), 78 (1). Codes that put 1 or 4 first, or place 1 before 3, do not match these values.

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