Question : Directions: If A indicates >; B indicates <; C indicates =; D indicates +; E indicates –; F indicates ×; G indicates ÷; then which of the following options is true?
Option 1: (5 D 6) A (6 D 12) A (13 D 6)
Option 2: (5 D 6) A (4 D 3) A (3 D 3)
Option 3: (35 E 15) C (5 F 5) A (20 G 4)
Option 4: (27 G 3) C (75 G 5) C (6 F 2)
Correct Answer: (5 D 6) A (4 D 3) A (3 D 3)
Solution :
Given:
A indicates >; B indicates <; C indicates =; D indicates +; E indicates –; F indicates ×; G indicates ÷
Replace the letters with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
(5 D 6) A (6 D 12) A (13 D 6)
(5 + 6) > (6 + 12) > (13 + 6)
On solving the above equation –
11 > 18 > 19 (This is not true.)
Second option:
(5 D 6) A (4 D 3) A (3 D 3)
(5 + 6) > (4 + 3) > (3 + 3)
On solving the above equation –
11 > 7 > 6
Third option:
(35 E 15) C (5 F 5) A (20 G 4)
(35 – 15) = (5 × 5) > (20 ÷ 4)
On solving the above equation –
20 ≠ 25 > 5
Fourth option:
(27 G 3) C (75 G 5) C (6 F 2)
(27 ÷ 3) = (75 ÷ 5) = (6 ÷ 2)
On solving the above equation –
9 ≠ 15 ≠ 3
So, only the second option satisfies the given equation. Hence, the second option is correct.
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