Question : Directions: After interchanging the given two signs what will be the values of expression (I) and (II) respectively?
x and –
l. 24 ÷ 8 × 2 + 7 – 6
II. 8 × 6 – 9 ÷ 3 + 10
Option 1: 50 and 0
Option 2: 43 and 0
Option 3: 40 and 5
Option 4: 0 and 43
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Correct Answer: 43 and 0
Solution :
Given:
× and –
l. 24 ÷ 8 × 2 + 7 – 6
II. 8 × 6 – 9 ÷ 3 + 10
Interchange the signs according to the given instructions and after interchanging the equations become –
I. 24 ÷ 8 × 2 + 7 – 6
⇒ 24 ÷ 8 – 2 + 7 × 6
= 3 – 2 + 7 × 6
= 3 – 2 + 42
= 3 + 40 = 43
II. 8 × 6 – 9 ÷ 3 + 10
⇒ 8 – 6 × 9 ÷ 3 + 10
= 8 – 6 × 3 + 10
= 8 – 18 + 10
= 8 – 8 =
0
So, after interchanging the given two signs, the values of the equations are 43 and 0 respectively. Hence, the second option is correct.
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