Question
Download Solution PDFWhich of the following sets of signs should be used to replace '' in the following? 13 * 2 * 4 = 9 * 4 * 6
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: 13 * 2 * 4 = 9 * 4 * 6
According to the question, after interchanging the signs:
Option 1) + - = + -
13 * 2 * 4 = 9 * 4 * 6 ⇒ 13 + 2 - 4 = 9 + 4 - 6
⇒ 13 + 2 - 4 = 9 + 4 - 6
⇒ 15 - 4 = 13 - 6
⇒ 11 ≠ 7 (LHS ≠ RHS)
Option 2) + × = + +
13 * 2 * 4 = 9 * 4 * 6 ⇒ 13 + 2 × 4 = 9 + 4 + 6
⇒ 13 + 2 × 4 = 9 + 4 + 6
⇒ 13 + 8 = 19
⇒ 21 ≠ 19 (LHS ≠ RHS)
Option 3) × + = × +
13 * 2 * 4 = 9 * 4 * 6 ⇒ 13 × 2 + 4 = 9 × 4 + 6
⇒ 13 × 2 + 4 = 9 × 4 + 6
⇒ 26 + 4 = 36 + 6
⇒ 30 ≠ 42 (LHS ≠ RHS)
Option 4) × + = × -
13 * 2 * 4 = 9 * 4 * 6 ⇒ 13 × 2 + 4 = 9 × 4 - 6
⇒ 13 × 2 + 4 = 9 × 4 - 6
⇒ 26 + 4 = 36 - 6
⇒ 30 = 30 (LHS = RHS)
Hence, "Option 4" is the correct answer.
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