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If 6 @ 4 @ 7 = 101 " and " 2 @ 5 @ 11 ...

If ` 6 @ 4 @ 7 = 101 " and " 2 @ 5 @ 11 = 150 , ` then what is the value of A in `A @ 8 @ 9 = 289 ? `

A

5

B

8

C

12

D

17

Text Solution

Verified by Experts

The correct Answer is:
C
`6" @ " 4 " @ " 7=101`
`implies(6)^(2)+(4)^(2)+(7)^(2)=101`
`implies36+16+49=101`
`2"@ "5" @ "11=150`
`implies(2)^(2)+(5)^(2)+(11)^(2)=150`
`implies4+25+12=150`
Therefore,
`A" @ " 8"@ "9=289`
`implies(A)^(2)=289-145=144`
`:.A=sqrt(144)=12`
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KIRAN PUBLICATION-SYMBOLS & NOTATIONS-TYPE-I (vii)
  1. If 4 xx 9 xx 3= 4 and 5 xx 3 xx 1=3, then 9 xx 9 xx 7=?

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  2. If (3)^(2)"@"1**7=98 and (4)^(2)"@"2**16=178, then (5)^(2)"@"3**9=?

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  3. If 6 @ 4 @ 7 = 101 " and " 2 @ 5 @ 11 = 150 , then what is the valu...

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  4. If 27 (15) 33 and 41 (13) 53, then what is the value of 'A' in 26 (A) ...

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  5. If 18xx12=206 and 19xx22=408, then 23xx36=?

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  6. If 11 $ 25 =18 ,12$ 20=16 then what is the value of 4$ 50 =?

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  7. If 35% 31 = 12, 92% 30 = 14 then what is the value of 15% 24 = ?

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  8. If 6#30=5,8#24=3,7#28=4, then what is the value of 8#40=?

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  9. If 3%2 = 50, 2%4 = 60, then what is the value of 5 % 4 = ?

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  10. If 23$35 = 13, 3$5 = 8 then what is the value of 4$13 = ?

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  11. If 19+4# 5=39 and 21 # 5+6=111, then 11+15 # 5=?

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  12. If 14 # 3" @ "4 =46 and 19 # 4" @ "3=79 then 21 # 4" @ "1=?

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  13. If 8 xx 16 xx 9 = 8169 and 9 xx 23 xx 4 = 9234, then 4 xx 10 xx 11 = ?

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  14. If 4" @ "9# 3=-2 and 11 # 2" @ "6=7, then 14" @ "3 # 7=?

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  15. If 66" @ "17" @ " 53=641551 and 17" @ "9 " @ " 99=15797 then 41" @ "11...

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  16. If 1 $ 9 & 5 = 14 and 2 & 4 $ 3 = 14, then 7 $ 9 & 9 = ?

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  17. If 8 * 9 # 3 = 51 and 12 * 6 # 4 = 72, then 13 * 11 # 6 = ?

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  18. If 14 # 13 = 9 and 27 # 36 = 18, then 46 # 31=?

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  19. If -4$1 = 4, 7$-7 = 49 and 3$1 = -3, then find the value of -8$-5 = ?

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  20. If 40"@"8 = -5, 30"@"3 = -10 and 20"@"5 = -4,then find the value of 60...

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