Home
Class 14
MATHS
For any natural number p and q (i) p #...

For any natural number p and q
(i) `p # q = p^3 + q^3 + 3 and p ** q = p^2 + q^2 + 2` and `p $ q = |p - q|`
(ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q)
The value of `[(4 # 5) $ (14 ** 15)]` is :

A

-196

B

231

C

-225

D

229

Text Solution

Verified by Experts

The correct Answer is:
B
[(4#5) $ (14*15)] = (64+125+3) $ (196 + 225 + 2) = (196 $ 423) = 231
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

For any natural number p and q (i) p # q = p 3 + q 3 + 3 and p ∗ q = p 2 + q 2 + 2 and p $ q = | p − q | (ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q)The value of [(1 $ 2) # (3$ 4)]*[(5 $ 6) # (7 $ 8)] is :

If p:q=5:7 and p-q=-4 then find the value of 3p+4q.

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:

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 :

if 2^(p)+3^(q)=17 and 2^(p+2)-3^(q+1)=5 then find the value of p&q

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. If f(x , y) = ((x + y)^2)/(xy) for every x, y > 0 then f(x,y) must be ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. (1-1/3)(1-1/4)(1-1/5)…(1-1/n) equals:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The sum of first 50 odd natural numbers is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Which one of the following numbers belongs to the given series 18, 26,...

    Text Solution

    |

  15. When the natural numbers 1,2,3,……., 500 are written, then the digit 3 ...

    Text Solution

    |

  16. In how many ways can 1146600 be written as the product of two factors?

    Text Solution

    |

  17. How many natural numbers upto 990 are divisible by 5 & 9 both, but not...

    Text Solution

    |

  18. The number of solution of |x| + |y| le 0, for (x , y) in R, is :

    Text Solution

    |

  19. The remiander when 2^39 is divided by 39 is:

    Text Solution

    |

  20. The unit digit of the following expression (1!)^99 + (2!)^98 + … (99!)...

    Text Solution

    |