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Show that (12)^n cannot end with digit 0...

Show that `(12)^n` cannot end with digit 0 or 5 for any natural number n.

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AGRAWAL PUBLICATION-2020 QUESTION PAPER (1)-EXERCISE
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  2. If m times the m^(th) term of an AP is equal to n times its n^(th) ter...

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  3. Find the value of k, for which the quadratic equation (k + 4)^2 + (k +...

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  4. On dividing (x^(3)-3x^(2)+x+2) by a polynomial g(x), the quotient and ...

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  5. If the sum of the squares of zeroes of the quadractic polynomial f(x) ...

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  6. In what ratio does the point P(-4,y) divide the line segmetn joining t...

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  7. Prove that a tangent to a circle is perpendicular to the radius throug...

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  8. Prove that the angle between the two tangents drawn from an external ...

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  9. In a right triangle, prove that the squre of the hypotenuse is equal t...

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  10. If sin theta + cos theta = p and sec theta + cosec theta = q. show tha...

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  11. 500 persons are taking a dip into a cuboidal pond which is 80 m long a...

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  12. Show that (12)^n cannot end with digit 0 or 5 for any natural number n...

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  13. Prove that (sqrt 2 + sqrt 5)is irrational.

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  14. A train covered a certain distance at a uniform speed. If the train wo...

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  15. If an equilateral triangle ABCD is a point on the side BC such that BD...

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  16. Prove that the sum of squres of the sides of a rhombus is equal to the...

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  17. If the angle of elevation of a cloud from a point 10 metres above a la...

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  18. A vertical tower of height 20 m stands on a horizontal plane and is s...

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  19. A solid iron cuboidal block of dimensions 4.4 m xx 2.6 mxx 1 m is cast...

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  20. For the following frequency distribution, draw a cumulatiave frequency...

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