Question
Download Solution PDFWhat value should come in the place of question mark (?) in the following question:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The expression is
Calculations:
For
Multiply by 10: 10x = 5.474747... (Equation 1)
Multiply by 1000: 1000x = 547.474747... (Equation 2)
Subtract Equation 1 from Equation 2
990x = 542
For
Multiply by 10: 10y = 3.454545... (Equation 3)
Multiply by 1000: 1000y = 345.454545... (Equation 4)
Subtract Equation 3 from Equation 4: 990y = 342
For
Multiply by 10: 10z = 2.444444... (Equation 5)
Multiply by 100: 100z = 24.444444... (Equation 6)
Subtract Equation 5 from Equation 6: 100z - 10z = 24.4444... - 2.4444...
90z = 22
The expression is
LCM(990, 990, 90) = 990
⇒
⇒
⇒
∴ The value of the expression is
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