Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
(9 * 8 * 7) * 13 * 5
Option 1: ×, =, ÷, −
Option 2: ×, −, ÷, =
Option 3: ÷, −, =, ×
Option 4: −, ÷, ×, =
Correct Answer: ×, −, ÷, =
Solution :
Given:
(9 * 8 * 7) * 13 * 5
Let's check the options –
First option:
×, =, ÷, −
9 × 8 = 7 ÷ 13 – 5
9 × 8 = 7 ÷ 13 – 5
72 = 0.53 – 5
72 = – 4.47
L.H.S. ≠ R.H.S.
Second option:
×, −, ÷, =
(9 × 8 – 7) ÷ 13 = 5
L.H.S. = (9 × 8 – 7) ÷ 13
= (72 – 7) ÷ 13
= 65 ÷ 13
= 5
Third option:
÷, −, =, ×
(9 ÷ 8 – 7) = 13 × 5
L.H.S. = (9 ÷ 8 – 7) = (1.125 – 7) = – 5.875
R.H.S. = 13 × 5 = 65
– 5.875 ≠ 65
L.H.S. ≠ R.H.S.
Fourth option:
−, ÷, ×, =
(9 – 8 ÷ 7) × 13 = 5
L.H.S. = (9 – 8 ÷ 7) × 13
= (9 – 1.143) × 13
= 7.857 × 13
= 102.141 ≠ 5
L.H.S. ≠ R.H.S.
So, only the second option satisfies the equation. Hence, the second option is correct.
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