Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? × and +, 7 and 4 I. 7 × 8 + 4 – 6 ÷ 3 = 57 II. 4 × 8 – 9 ÷ 3 + 7 = 3
Option 1: Only II
Option 2: Only I
Option 3: Neither I nor II
Option 4: Both I and II
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Correct Answer: Only II
Solution : Given: × and +, 7 and 4 I. 7 × 8 + 4 – 6 ÷ 3 = 57 II. 4 × 8 – 9 ÷ 3 + 7 = 3
Replacing the given numbers and signs in the options one by one with the given equations. I. 7 × 8 + 4 – 6 ÷ 3 = 57 ⇒ 4 + 8 × 7 – 6 ÷ 3 = 57 ⇒ 4 + 8 × 7 – 2 = 57 ⇒ 4 + 56 – 2 = 57 ⇒ 60 – 2 = 58 ≠ 57
II. 4 × 8 – 9 ÷ 3 + 7 = 3 7 + 8 – 9 ÷ 3 × 4 = 3 ⇒ 7 + 8 – 3 × 4 = 3 ⇒ 7 + 8 – 12 = 3 ⇒ 7 – 4 = 3 = R.H.S
So, only equation II satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? × and ÷, 2 and 6 I. 7 – 4 × 3 ÷ 6 + 2 = 8 II. 6 – 8 × 2 + 9 ÷ 3 = 5
Option 2: Neither I nor II
Option 3: Only I
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? – and ÷, 8 and 2 I. 5 + 7 – 8 × 4 ÷ 2 = 9 II. 3 + 8 × 4 –2 ÷ 1 = 3
Option 1: Neither I nor II
Option 2: Only II
Option 3: Both I and II
Option 4: Only I
Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively? × and ÷, 7 and 9 I. 8 × 3 ÷ 6 + 9 – 7 II. 9 – 7 × 1 + 6 ÷ 3
Option 1: 0, 8
Option 2: 14, 16
Option 3: 6, 9
Option 4: 10, 11
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be not correct? + and ×, 5 and 4 I. 4 + 8 × 5 – 7 ÷ 1 = 37 II. 5 × 3 – 4 + 6 ÷ 2 = – 8
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