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The numerator and denominator of a fraction are in the ratio of 2:3. If 6 is subtracted from the numerator, the result is a fraction that has a value `2/3` of the original fraction. The numerator of the original fraction is a. 6 b. 18 c. 27 d. 36

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18
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S CHAND IIT JEE FOUNDATION-LINEAR EQUATIONS IN ONE VARIABLE-Unit Test -2
  1. The numerator and denominator of a fraction are in the ratio of 2:3...

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  2. If b/a=0. 25 , then what is the value of (2a-b)/(2a+b)+2/9 ?

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  3. Find the value of : (0.98)^3+(0.02)^3 + 3xx 0.98 xx 0.02-1

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  4. Simplify: a^2b(a^3-a+1)-a b(a^4-2a^2+2a)-b(a^3-a^2-1)

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  5. Match the problem with their answers :

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  6. Simplify: ((0. 35)^2-(0. 03)^2)/(0. 19) .

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  7. The value of ((2. 3)^3-\ 0. 027\ )/((2. 3)^2+\ 0. 69+0. 09) is 2 (b) ...

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  8. 2n is an even number. What are the odd numbers on each side of it ? Th...

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  9. The factors of a^(4) - 4a^(2) are

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  10. If a + (1)/(a) = 4, then the value of a^(2) + (1)/(a^(2)) is

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  11. The value of ((1.5)^3 + (4.7)^3 + (3.8)^3 - 3 xx 1.5 xx 4.7 xx 3.8)/...

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  12. Solve : (x-4)^(2) - (x+4)^(2) = 48. The value of x is

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  13. Divide 3x^(4) - 5x^(3)y + 6x^(2)y^(2) - 3xy^(3) + y^(4) by x^(2) - xy ...

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  14. Simplify, giving your answer in factors : 3(x-1)^(2) + 5(x-1)(x+4)-2(x...

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  15. factorize 2x^(2) - 5xy + 3y^(2), and use your result to factorize 2(3a...

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  16. (a^2-b^2-2b c-c^2)/(a^2+b^2+2a b-c^2) is equivalent to (a-b+c)/(a+b...

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  17. One of the factors of a^(3) - b^(3) - a^(2)b + ab^(2) + a^(2) - b^(2) ...

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  18. If x + y - 1 = 0, then x^(3) + y^(3) - 1 is equal to

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  19. x+y=a and x y=b ,then the value of 1/(x^3)+1/(y^3)

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  20. If 2x + k y + z is a factor of 9y^(2) - z^(2) - 2xz + 6xy, then the va...

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  21. In a lottery, a total of 200 prizes are to be given. A prize is either...

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