If, + stands for division, `xx` stands for addition, - stands for multiplication, ÷ stands for subtraction, which of the following is correct?

Options

A. `46 xx 6 div 4-5 + 3 = 74`
B. ` 46 - 6 + 4 xx 5 div 3 = 71`
C. `46 div 6 xx 4-5 + 3 = 75.5`
D. `46 xx 6-4+ 5 div 3 = 70.1`

Answer

C

Explanation

(a)`46 xx 6 div 4-5 + 3 = 74`
` implies 46 + 6-4 xx 5 div 3 = 74`
`implies 46 + 6 - 4 xx 5/3 = 74`
` implies 46+6 -(20)/( 3 )= 74`
`implies 52 -( 20 )/(3 ) = 74`
`implies ( 156 -20 )/( 3 ) = 74`
` implies 136 ne 74 xx 3`
` (b) 46-6 + 4 xx 5 + 3 =71`
`implies 46xx 6 div 4+5 - 3 = 71`
`implies 46 xx (6)/(4) + 5 - 3 =71 `
`implies 46 xx (6)/(4) + 5 -3 = 71`
`implies 69 + 5 -3 =71`
`(c ) 46 div 6 xx 4 - + 3 = 75.5`
` implies 46 -6 +4 xx 5 div 3 = 75.5`
`implies 46 - 6 + 4 xx (5)/(3) = 75.5`
` implies 46 -6 +(20)/( 3 ) ne 75.5 `
`(d ) 46 xx 6 - 4 + 5 div 3 = 70.1`
`implies 46+6 xx 4 div 5 - 3 = 70.1`
` implies 46+6 xx (4)/(5) - 3 = 70.1`
`implies 46 +(24)/( 5 ) -3 = 70.1`
`implies ( 239)/( 5) ne 70.1 `