Question : Directions: Which of the following equations will become correct by replacing the * signs from left to right as per the given sequence of mathematical signs?
The given sequence:
+, ÷, –, ×, =
Option 1: 45 * 15 * 5 * 7 * 5 * 13
Option 2: 45 * 24 * 8 * 7 * 5 * 23
Option 3: 60 * 15 * 5 * 7 * 5 * 25
Option 4: 45 * 15 * 5 * 5 * 5 * 18

Question

Question : Directions: Which of the following equations will become correct by replacing the * signs from left to right as per the given sequence of mathematical signs?
The given sequence:
+, ÷, –, ×, =

Option 1: 45 * 15 * 5 * 7 * 5 * 13

Option 2: 45 * 24 * 8 * 7 * 5 * 23

Option 3: 60 * 15 * 5 * 7 * 5 * 25

Option 4: 45 * 15 * 5 * 5 * 5 * 18

Team Careers360 · Accepted Answer

Correct Answer: 45 * 15 * 5 * 7 * 5 * 13

Solution : Given:
+, ÷, –, ×, =

Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option: 45 * 15 * 5 * 7 * 5 * 13
⇒ 45 + 15 ÷ 5 – 7 × 5 = 13
Solving the L.H.S of the equation –
= 45 + 3 – 7 × 5
= 45 + 3 – 35
= 10 + 3
= 13
Second option: 45 * 24 * 8 * 7 * 5 * 23
⇒ 45 + 24 ÷ 8 – 7 × 5 = 23
Solving the L.H.S of the equation –
= 45 + 3 – 7 × 5
= 45 + 3 – 35
= 10 + 3
= 13 ≠ 23
Third option: 60 * 15 * 5 * 7 * 5 * 25
⇒ 60 + 15 ÷ 5 – 7 × 5 = 25
Solving the L.H.S of the equation –
= 60 + 3 – 7 × 5
= 60 + 3 – 35
= 25 + 3
= 28 ≠ 25
Fourth option: 45 * 15 * 5 * 5 * 5 * 18
⇒ 45 + 15 ÷ 5 – 5 × 5 = 18
Solving the L.H.S of the equation –
= 45 + 3 – 5 × 5
= 45 + 3 – 25
= 20 + 3
= 23 ≠ 18

So, only the first option satisfies the given condition. Hence, the first option is correct.

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