Question : Directions: Select the combination of signs that when sequentially placed in the given blanks will make the equation correct.
7 _ 3 _ 4 _ 12 _ 6 = 19
Option 1: +, ÷, ×, –
Option 2: ×, –, +, ÷
Option 3: –, ×, +, ÷
Option 4: ÷, ×, +, –
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Correct Answer: ×, –, +, ÷
Solution :
Given:
7 _ 3 _ 4 _ 12 _ 6 = 19
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+, ÷, ×, –
7 + 3 ÷ 4 × 12 – 6 = 19
On solving the L.H.S. of the given equation –
= 7 + 0.75 × 12 – 6
= 7 + 9 – 6
= 10 ≠ 19
Second option:
×, –, +, ÷
7 × 3 – 4 + 12 ÷ 6 = 19
On solving the L.H.S. of the given equation –
= 7 × 3 – 4 + 2
= 21 – 4 + 2
= 19
Third option:
–, ×, +, ÷
7 – 3 × 4 + 12 ÷ 6 = 19
On solving the L.H.S. of the given equation –
= 7 – 3 × 4 + 2 = 19
= 7 – 12 + 2 = 19
= –3 ≠ 19
Fourth option:
÷, ×, +, –
7 ÷ 3 × 4 + 12 – 6 = 19
On solving the L.H.S. of the given equation –
= 2.33 × 4 + 12 – 6
= 9.32 + 12 – 6
= 15.32 ≠ 19
So, the second option satisfies the given equation. Hence, the second option is correct.
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