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Write the cubes of 5 natural number whic...

Write the cubes of 5 natural number which are of form `3n+1(edotg. 4 ,7, 10 )` and verify the following : The cube of a natural number of the form `3n+1` is a natural number of the same form i.e. when divided by 3 it leaves the remainder 1

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RD SHARMA ENGLISH-CUBES AND CUBE ROOTS-All Questions
  1. Observe the following pattern : 1^3=1 1^3+2^3=(1+2)^2 1^3+2^3+3^3=(1...

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  2. Write the cubes of 5 natural number which are multiples of 3 and ve...

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  3. Write the cubes of 5 natural number which are of form 3n+1(edotg. 4...

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  4. Write the cubes of 5 natural numbers of the form 3n+2(idote .5 ,8, ...

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  5. Write the cubes of 5 natural numbers of which are multiples of 7 an...

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  6. Which of the following are perfect cubes? (I)64            (ii) 216 ...

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  7. Which of the following are perfect cubes? (I)1000               (ii) 1...

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  8. Which of the following are perfect cubes ? (I)4608        (ii) 10648...

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  9. Which of the following are cubes of even natural numbers? 216, 512...

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  10. Which of the following are cubes of odd natural numbers? 125, 343,1...

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  11. What is the smallest number by which the following numbers must be m...

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  12. What is the smallest number by which the following numbers must be m...

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  13. By which smallest number must the following numbers be divided so th...

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  14. By which smallest numbers must the following numbers be divided so t...

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  15. Prove that if a number is tripled then its cube is 27 times the cube...

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  16. What happens to the cube of a number if the number multiplied by (I...

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  17. Find the volume of a cube, one face of which has an area of 64 m^2d...

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  18. Find the volume of cube whose surface area is 384 m^2dot

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  19. Evaluate the following : (I){(5^2+12^2)^(1/2)}^3 (ii) {(6^2+8^2)^(1...

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  20. Write the unite digit of the cube of each of the following numbers: ...

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