If a + b = cx, b + c = ay and c + a = bz then what will be the approximate value of \(\frac{7}{8}(\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1})\) ?
Answer
Correct Answer : d ) 0.875
Explanation :Consider the given equations
\(a+b=cx\)
Or, \(a+b+c=cx+c\)
\(\frac{1}{x+1}=\frac{c}{a+b+c}......(1)\)
\(b+c=ay\)
Or, \(a+b+c=ay+a\)
\(\frac{1}{y+1}=\frac{a}{a+b+c}......(2)\)
\(c+a=bz\)
Or,\(a+b+c=bz+b\)
\(\frac{1}{z+1}=\frac{b}{a+b+c}......(3)\)
Adding equation (1), (2), and (3) we get
\(\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}=\frac{a+b+c}{a+b+c}\)
\(\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}=1\)
Therefore,
\(\frac{7}{8}(\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1})=\frac{7}{8}=0.875\)
Hence, (d) is the correct answer.
Such type of question is asked in various government exams like SSC CGL, SSC MTS, SSC CPO, SSC CHSL, RRB JE, RRB NTPC, RRB GROUP D, RRB OFFICER SCALE-I, IBPS PO, IBPS SO, RRB Office Assistant, IBPS Clerk, RBI Assistant, IBPS RRB OFFICER SCALE 2&3, UPSC CDS etc.
Read Daily Current Affairs, Banking Awareness, Hindi Current Affairs, Word of the Day, and attempt free mock tests at PendulumEdu and boost your preparation for the actual exam.
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