Home
Class 14
MATHS
P ** q = p^2 - q^2 p $ q = p^2 - q^2 ...

`P ** q = p^2 - q^2`
`p $ q = p^2 - q^2`
`p $ q = p^2 + q^2`
`p @ q = pq + p + q`
`p Delta q` = Remainder of `p/q`
`p © q` = greatest integer less than or equal to `p/q`.
If `p = 8 and q = 10` , then the value of `[(p $ q) Delta (p @ q)] ** [(q ** p) @ (q © p)]` is :

A

5329

B

5239

C

12100

D

-973

Text Solution

Verified by Experts

The correct Answer is:
D

`[(8$10) Delta (8@10)]*[(10*8)@(10©8)]`
= (164 `Delta`98)*(36@1)
66*73 = -973
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q . If p = 11 and q = 7 , then the value of (p ** q) @ (p $ q) is:

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. If f(x + 1/x) = x^2 + 1/(x^2) , then f(t) equals to :

    Text Solution

    |

  2. P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

    Text Solution

    |

  3. P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

    Text Solution

    |

  4. P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

    Text Solution

    |

  5. Follow the steps to solve the given problem : Step 1. Put x = 2 and ...

    Text Solution

    |

  6. p @ q = p^2 - 20 if p > q , q 2 q = p^2 + 20 if p le q, then for a = 5...

    Text Solution

    |

  7. If x # y = (x + y)/(xy), then the value of P # (q # r) for every p, q,...

    Text Solution

    |

  8. If f(x , y) = ((x + y)^2)/(xy) for every x, y > 0 then f(x,y) must be ...

    Text Solution

    |

  9. The function f1 and f2 are defined as follows : f1 = a! + b! and f2 = ...

    Text Solution

    |

  10. For any natural number p and q (i) p # q = p^3 + q^3 + 3 and p ** q ...

    Text Solution

    |

  11. For any natural number p and q (i) p # q = p 3 + q 3 + 3 and p ∗ q = ...

    Text Solution

    |

  12. The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]

    Text Solution

    |

  13. (1-1/3)(1-1/4)(1-1/5)…(1-1/n) equals:

    Text Solution

    |

  14. If the sum of three consecutive integers is 21, then the sum of the tw...

    Text Solution

    |

  15. The sum of squares of first ten natural numbers is :

    Text Solution

    |

  16. The sum of first 50 odd natural numbers is

    Text Solution

    |

  17. A boy draws n squares with sides 1,2,3,4,5,…. In inches. The average a...

    Text Solution

    |

  18. The 3rd and 6th term of an arithmetic progression are 4 and 9, respect...

    Text Solution

    |

  19. If the 9th and 19th terms of a G.P. are 12 and 18, what is the G.M. of...

    Text Solution

    |

  20. If the arithmetic mean of the numbers x1 , x2, x3,……., xn is barx, the...

    Text Solution

    |