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If x/2 = y/3, then [4/5 + (y - x)/(y+x)]...

If `x/2 = y/3`, then `[4/5 + (y - x)/(y+x)]` equals :

A

`3/5`

B

`4/5`

C

`1`

D

`6/5`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{x}{2} = \frac{y}{3} \) and find the value of \( \left[ \frac{4}{5} + \frac{y - x}{y + x} \right] \), we can follow these steps: ### Step 1: Express \( x \) in terms of \( y \) From the equation \( \frac{x}{2} = \frac{y}{3} \), we can cross-multiply to find a relationship between \( x \) and \( y \): \[ 3x = 2y \] This can be rearranged to express \( x \) in terms of \( y \): \[ x = \frac{2}{3}y \]
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ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
  1. The number 12375 is divisible by :

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  2. (1 - 1/3) (1 - 1/4)(1 - 1/5)………(1 - 1/n) equals:

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  3. If x/2 = y/3, then [4/5 + (y - x)/(y+x)] equals :

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  4. The value of ((119)^2 + (119)(111) + (111)^2)/((119)^3 - (111)^3) is :

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  5. A number consists of two digits. The sum of the digits is 11, reversin...

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  6. For a journey the cost of a child ticket is 1/3 rd of the cost of an a...

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  7. 9^(3//2) div (243)^(-2//3) simplifies to :

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  8. The solution of (25)^(x -2) = (125)^(2x - 4) :

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  9. If a^x = b^y = c^z and b/a = c/b then (2z)/(x + z) is equal to:

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  10. If x < 0 < y, then :

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  11. The expression 33.33 div 1.1 simplifies as :

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  12. If |x - 2| < 3 then :

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  13. A fraction becomes 4 when 1 is added to both the numerator and denomin...

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  14. The expression (a - b)^3 + (b - c)^3 + (c - a)^3 = 0 if :

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  15. If a + b + c = 11, a^2 + b^2 + c^2 = 51, what is the value of ab + bc ...

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  16. If x + y + z = 0, then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(x...

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  17. The value of ((e^x + e^(-x))/(2))^(2) - ((e^x - e^(-x))/(2))^(2) is :

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  18. The continued product of (1 + x), (1 + x^2), (1 + x^4), (1 + x^8) and ...

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  19. Find the value of x and y in the given equation 5 7/x xx y 1/13 = 12:

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  20. The square root of 32 137/484 is :

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