Question : Directions: Which two signs should be interchanged to make the given equation correct?
8 – 9 + 24 × 63 = 33
Option 1: × and –
Option 2: = and +
Option 3: – and =
Option 4: – and +
Correct Answer: × and –
Solution :
Given:
8 – 9 + 24 × 63 = 33
Let's check the given options –
First option:
× and –
On interchanging the mathematical signs, we get –
8 × 9 + 24 – 63 = 33
L.H.S. = 8 × 9 + 24 – 63
= 72 + 24 – 63
= 96 – 63
= 33 = R.H.S.
Second option:
= and +
On interchanging the mathematical signs, we get –
8 – 9 = 24 × 63 + 33
L.H.S. = 8 – 9 = –1
R.H.S. = 24 × 63 + 33 = 1512 + 33
= –1 ≠ 1545
Third option:
– and =
On interchanging the mathematical signs, we get –
8 = 9 + 24 × 63 – 33
R.H.S. = 9 + 24 × 63 – 33
= 9 + 1512 – 33
= 1521 – 33
= 1488 ≠ 8
Fourth option:
– and +
On interchanging the mathematical signs, we get –
8 + 9 – 24 × 63 = 33
L.H.S. = 8 + 9 – 24 × 63
= 8 + 9 – 1512
= 17 – 1512
= –1495 ≠ 33
So, only the first option satisfies the equation. Hence, the first option is correct.
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