Home
Class 12
MATHS
Number of four digit number between 5000...

Number of four digit number between 5000 and 6000 such that digit at thousand.s place is equal to the sum of the other three digits, is (1)`21000`      (2)   `126`        (3)  `21`      (4)  `42`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

If a^(1/2)+b^(1/2)-c^(1/2)=0 , then the value of (a+b-c)^2 is: (A)    2ab    (B)    2bc    (C)    4ab    (D)    4ac

If 2^33 is divided by 17 , then the remainder is (1)    15        (2)    2         (3)    4         (4)    9

If int (1+xtanx)^(-2) dx=1/(x+f(x))+c; then value of f(x) is (1)   xtanx    (2)   cotx    (3)   tanx    (4)   tan^2x

If the circumference of a circle is equal to the perimeter of a square then the ratio of their areas is: (a)22:7       (b)  14:11       (c)  7:22          (d)  7:11

The mean of 100 numbers observations is 50 and their standards deviation is 5. The sum of all squares of all the observations is (a)50,000          (b) 250,000         (c) 252500         (d) 255000

What is a regular polygon? State the name of a regular polygon of (i) 3 sides             (ii)  4 sides             (iii)  6 sides

If m and x are two real numbers where m in I, then e^(2micot^(-1)x)((x*i+1)/(x*i-1))^m (A)   cos x+i sin x   (B)   m/2   (C)   1    (D)   (m+1)/2

The measure of the angle between the internal and external bisectors of an angle is: (A)   60°     (B)   70°      (C)   80°      (D)   90°

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

RESONANCE DPP-JEE MAINS-All Questions
  1. underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " th...

    Text Solution

    |

  2. If sin^3xcos3x+cos^3xsin3x=3/8, then the value of sin 4x is 1/2 (b) 1...

    Text Solution

    |

  3. Number of four digit number between 5000 and 6000 such that digit a...

    Text Solution

    |

  4. In a square matrix A of order 3 each element a(i i) is equal to the su...

    Text Solution

    |

  5. If the letters of the word SACHIN are arranged in all possible ways...

    Text Solution

    |

  6. If Aa n dB are two non-singular square matrices obeying commutative r...

    Text Solution

    |

  7. Let z be a complex number. If the minimum value of |z|^2+|z-3|^2+|z-3...

    Text Solution

    |

  8. The number of solutions of the equation cot(sin x+3)=1, in [0,3pi] i...

    Text Solution

    |

  9. A bag initially contains 1 red and 2 blue balls. An experiment consist...

    Text Solution

    |

  10. Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...

    Text Solution

    |

  11. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  12. The number of 2xx2 matrices X satisfying the matrix equation X^2=I(I...

    Text Solution

    |

  13. The equation x^3-3/4x=-(sqrt(3))/8 is satisfied by x=cos((5pi)/(18))...

    Text Solution

    |

  14. Let trianglePQR be a triangle. Let veca = vecQR, vecb= vecRP and vec c...

    Text Solution

    |

  15. If A is a non-singular matrix of order nxxn such that 3ABA^(-1)+A=2A^(...

    Text Solution

    |

  16. The number of triangles that can be formed using the vertices of a 20 ...

    Text Solution

    |

  17. If (x)=|x^2+4x-3 2x+4 13 2x^2+5x-9 4x+5 26 8x^2-6x+1 16 x-6 104|=a x^3...

    Text Solution

    |

  18. The function f:R->R defined by f(x) =(e^|x|-e^-x)/(e^x+e^-x) is

    Text Solution

    |

  19. If vec aa n d vec b are two vectors and angle between them is thet...

    Text Solution

    |

  20. Range of function f(x)=|6sin^(-1)x-pi|+|6cos^(-1)x-pi| is (a)[0,9pi]...

    Text Solution

    |