Question
Download Solution PDFSelect the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
16 * 31 * 18 * 2 * 11 * 494
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHere, we use the BODMAS table given below:
Given:
⇒ 16 * 31 * 18 * 2 * 11 * 494
(1) −, ×, +, ÷, =
⇒ 16 * 31 * 18 * 2 * 11 * 494
After putting the signs:
⇒ 16 - 31 × 18 + 2 ÷ 11 = 494
Apply BODMAS rule:
⇒ 16 - 31 × 18 + 0.1818
⇒ 16 - 558 + 0.1818
⇒ 16.18 - 558 = (-541.82)
Here, the equation is not satisfied.
(2) ÷, +, −, ×, =
⇒ 16 * 31 * 18 * 2 * 11 * 494
After putting the signs:
⇒ 16 ÷ 31 + 18 - 2 × 11 = 494
Apply BODMAS rule:
⇒ 0.516 + 18 - 2 × 11
⇒ 0.516 + 18 - 22
⇒ 18.516 - 22 = 3.48
Here, the equation is not satisfied.
(3) +, −, ÷, ×, =
⇒ 16 * 31 * 18 * 2 * 11 * 494
After putting the signs:
⇒ 16 + 31 - 18 ÷ 2 × 11 = 494
Apply BODMAS rule:
⇒ 16 + 31 - 9 × 11
⇒ 16 + 31 - 99
⇒ 47 - 99 = (-52)
Here, the equation is not satisfied.
(4) ×, +, ÷, −, =
⇒ 16 * 31 * 18 * 2 * 11 * 494
After putting the signs:
⇒ 16 × 31 + 18 ÷ 2 - 11 = 494
Apply BODMAS rule:
⇒ 16 × 31 + 9 - 11
⇒ 496 + 9 - 11
⇒ 505 - 11 = 494
⇒ '16 × 31 + 18 ÷ 2 - 11 = 494'
Here, the equation is satisfied.
Hence, the correct answer is "Option (4)".
Last updated on Jul 21, 2025
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