Question : Directions: If 6 @ 4 @ 7 = 101 and 2 @ 5 @ 11 = 150, then what is the value of A in A @ 8 @ 9 = 289?
Option 1: 5
Option 2: 8
Option 3: 12
Option 4: 17
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Correct Answer: 12
Solution : Given: 6 @ 4 @ 7 = 101, 2 @ 5 @ 11 = 150
Use the following operations in place of the given symbols @. Like, 6 @ 4 @ 7 = 101 i = 62 + 42 + 72 = 36 + 16 + 49 = 101 And, 2 @ 5 @ 11 = 150 = 22 + 52 + 112 = 4 + 25 + 121 = 150 Similarly, A @ 8 @ 9 = 289 ⇒ A2 + 82 + 92 = 289 ⇒ A2 + 64 + 81 = 289 ⇒ A2 + 145 = 289 ⇒ A2 = 289 – 145 ⇒ A2 = 144 ⇒ A = √144 ⇒ A = 12
So, the value of A is equal to 12. Hence, the third option is correct.
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Question : Directions: If 4 × 9 × 3 = 4 and 5 × 3 × 1 = 3, then 9 × 9 × 7 = ?
Option 2: 6
Option 3: 7
Option 4: 9
Question : Directions: If 6 # 30 = 5, 8 # 24 = 3, 7 # 28 = 4 then, what is the value of 8 # 40 = ?
Option 1: 47
Option 2: 4
Option 3: 5
Option 4: 24
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? – and +, 6 and 3
Option 1: 7 – 3 × 2 ÷ 6 + 4 = 17
Option 2: 8 × 3 – 6 + 4 ÷ 2 = 49
Option 3: 7 + 6 ÷ 3 × 8 – 5 = 35
Option 4: 9 – 6 ÷ 4 + 3 × 7 = 8
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: If A denotes +, B denotes –, C denotes × and D denotes ÷, then which of the following equations is true?
Option 1: 8 B 6 D 2 A 4 C 3 = 15
Option 2: 8 A 8 B 8 C 8 = – 48
Option 3: 9 C 9 B 9 D 9 A 9 = 17
Option 4: 3 A 3 B 3 C 3 A 3 D 3 = 4
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