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Prove that n^(2)-n is divisible by 2 for...

Prove that `n^(2)-n` is divisible by 2 for every positive integer n.

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CPC CAMBRIDGE PUBLICATION-MODEL QUESTION PAPER -04 -QUESTIONS
  1. Find the value of 4 sin^(2)60+3 tan^(2)30-8 sin45.cos45

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  2. Find the volume of the hemisphere of radius 21 cm.

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  3. Prove that n^(2)-n is divisible by 2 for every positive integer n.

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  4. Solve for x and y 41x+53y=135 53x+41y=417

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  5. Find the roots of the quadratic equation 9x^(2)-3x-20=0 by formula met...

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  6. If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a paral...

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  7. In given figure, (AO)/(OC)=(BO)/(OD)=1/2 and AB=5cm. Find the value of...

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  8. A child has a dice whose six faces show the letters are given below : ...

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  9. Prove that (Sin theta)/(1-cos theta)=cosec theta+cot theta OR P...

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  10. The sum of digits of a two digit number is 7. If the digits are revers...

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  11. The zeroes of the cubic polynomial x^(3)-6x^(2)+3x+10 are in A.P. for ...

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  12. In a class test, the sum of Sharma age markes in Mathematics and Engli...

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  13. What type of triangle is DeltaABC, with the coordinates of the vertice...

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  14. Prove that the tangents drawn to a circle from an external point are e...

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  15. Find the area of the shaded region in fig if radii of the two concentr...

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  16. 100 surnames were randomly picked up from a local telephone directory ...

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  17. Draw a right triangle in which ( other than the hypoten use ) are of l...

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  18. Solve the pair of linear equations graphically : 2x-y=2 and 2x-3y=-6 u...

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  19. Find the 60th term of an A.P 8, 10 , 12, .....if it has a total of 60 ...

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  20. The angle of elevation of the top of a cliff as seen from the top and ...

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