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Show that any positive odd integer is of...

Show that any positive odd integer is of the form `6q+1` or `6q+3` or `6q+5`, where q is some integer

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    X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION-C|5 Videos

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Show that any positive odd integer is of the form 4q+1 or 4q+3 , where q is some integer.

Show that any positive odd integer is of the form 4q+1 or 4q+3 , where q is some integer.

Show that any positive odd integer is of the form 4q+1 or 4q+3 , where q is some integer.

Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 for some integer q .

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1 , where q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1 , where q is some integer.

Show that every positive even integer is of the form 2q , and that every positive odd integer is of the form 2q+1 , where q is some integer.

Show that every positive even integer is of the form 2q , and that every positive odd integer is of the form 2q+1 , where q is some integer.

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

Prove that if a positive integer is of the form 6q+5 , then it is of the form 3q+2 for some integer q , but not conversely.

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions
  1. The area of two similar traingles are 25 sq cm and 121 sq cm. Find the...

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  2. Solve 1/(a+b+x)=1/a+1/b+1/x,a+b !=0

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  3. Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+...

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  4. The sum of first p- terms terms of an A.P. is q and the sum of first q...

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  5. Prove that the parallelogram circumscribing a circle is a Rhombus.

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  6. Find the HCF of 612 and 1314 using prime factorisation.

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  7. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm a...

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  8. A boy standing on a horizontal plane finds a bird flying at a distance...

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  9. If the square of one side of a triangle is equal to the sum of the squ...

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  10. The following table gives the number of participants in a yoga camp: [...

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  11. An open metallic bucket is in the shape of the frustum of the cone. If...

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  12. The angle of elevation of a jet plane from a point A on the grund is 6...

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  13. Prove that ((1+cot theta +tan theta)(sin theta - cos theta))/(sec ^3 t...

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  14. Find the value of frequecies in the following frequency distribution t...

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  15. A child has a die whose 6 faces show the letter as given below: A,B,C,...

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  16. Find the sum of the first 100 natural numbers.

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  17. AOBC is a rectangle whose three vertices are A(0,-3), O(0,0) and B (4,...

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  18. For an AP, it is given that first term (a)= 5 and Common Difference (d...

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  19. The value(s) of k for which the quadratic equation 2x^2 + kx + 2 = 0 ...

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  20. Evaluate (2tan45^@ xx cos 60^@)/sin30^@

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