Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
23 * 2 * 2 * 5 * 18
Option 1: –, ÷, ×, =
Option 2: –, ÷, +, =
Option 3: –, ÷, =, +
Option 4: –, ×, ÷, =
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Correct Answer: –, ÷, ×, =
Solution :
Given:
23 * 2 * 2 * 5 * 18
Replace * with the mathematical signs and solve the equations one by one.
Let's check the given options –
First option:
–, ÷, ×, =
23 – 2 ÷ 2 × 5 = 18
Solving the L.H.S of the equation –
= 23 – 2 ÷ 2 × 5
= 23 – 1 × 5
= 23 – 5
= 18
L.H.S. = R.H.S.
Second option:
–, ÷, +, =
23 – 2 ÷ 2 + 5 = 18
Solving the L.H.S of the equation –
=
23 – 2 ÷ 2 + 5
= 23 – 1 + 5
= 28 – 1
= 27
LHS ≠ RHS
Third option:
–, ÷, =, +
23 – 2 ÷ 2 = 5 + 18
Solving the L.H.S of the equation –
= 23 – 2 ÷ 2
=
23 – 1
= 22
Solving the R.H.S of the equation –
=
5 + 18
= 23
LHS ≠ RHS
Fourth option:
–, ×, ÷, =
23 – 2 × 2 ÷ 5 = 18
Solving the L.H.S of the equation –
=
23 – 2 × 2 ÷ 5
= 23 – 2 × 0.4
= 23 – 0.8
= 22.2
LHS ≠ RHS
So, only the first option satisfies the given equation. Hence, the first option is correct.
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