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Banking Sample Paper SBI Junior Associates (Main) Sample Paper Test-2

  • question_answer
    Direction: In the question, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. Give answer
    (i) if\[x>y\]
    (ii) if\[x\le y\]
    (iii) if \[x<y\]
    (iv) if\[x\ge y\]
    (v) if\[x=y\]or relationship between\[x\]and\[y\]can't be established
    I. \[2x+5y=32\]       
    II. \[5x-9y=-2\]

    A)  if x>y            

    B)  if x<y

    C)  if x<y

    D)       if x>y

    E)  if x=y or relationship between x and y can't be established.

    Correct Answer: A

    Solution :

    I.\[2x+5y=32...\text{ }(i)\] II.\[5x-9y=-2~~~...(ii)\] Solving \[(i)\text{ }\times 9+(ii)\times 5,\]we get \[18x+25x=288-10\] or, \[43x=278\] \[\therefore x=\frac{278}{43}\] Putting the value of \[x\]in equation (i), we get \[2\times \frac{278}{43}+5y=32\] \[\Rightarrow 5y=32-\frac{556}{43}\] \[\Rightarrow y=\frac{1376-556}{43\times 5}=\frac{820}{215}\] Hence \[x>y\]


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