Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation,
16 * 31 * 18 * 2 * 11 * 494
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ×, +, , -, =.
16 * 31 * 18 * 2 * 11 * 494
Checking the options:
Option (1) -, ×, +, +, =
Equation after putting the signs:
16 - 31 × 18 + 2 ÷ 11 = 494
⇒ 16 - 31 × 18 + 0.1818
⇒ 16 - 558 + 0.1818
⇒ 16.18 - 558 = (-541.82) ≠ 494
The equation is not satisfied.
Option (2) ÷, +, -, ×, =
Equation after putting the signs:
16 ÷ 31 + 18 - 2 × 11 = 494
⇒ 0.516 + 18 - 2 × 11
⇒ 0.516 + 18 - 22
⇒ 18.516 - 22 = 3.48 ≠ 494
The equation is not satisfied.
Option (3) +, -, ÷, x, =
16 + 31 - 18 ÷ 2 × 11 = 494
⇒ 16 + 31 - 9 × 11
⇒ 16 + 31 - 99
⇒ 47 - 99 = (-52) ≠ 494
The equation is not satisfied.
Option (4) ×, +,÷ , -, =
16 × 31 + 18 ÷ 2 - 11 = 494
⇒ 16 × 31 + 9 - 11
⇒ 496 + 9 - 11
⇒ 505 - 11 = 494
The equation is satisfied.
Hence, ×, +,÷ , -, = is the correct answer.