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If '+' means division, '-' means multipl...

If '+' means division, '-' means multiplication, `'-:'` means subtraction, `'xx'` means addition and `'lt'` means less then then which of the following is false?

A

`(10+2)-:7lt(10-:7)+2`

B

`(10-7)xx2lt(10xx2)-7`

C

`(10xx7)-2lt(10-2)xx7`

D

`(10-:2)+7lt(10+7)xx2`

Text Solution

Verified by Experts

The correct Answer is:
C

Option (1)
`(10+2)-:7lt(10-:7)+2`
`implies(10-:2)-7lt(10-7)-:2`
`implies5-7lt3-:2`
`implies-2lt(3)/(2)`
Option (2)
`(10-7)xx2lt(10xx2)-7`
`implies(10xx7)+2lt(10+2)xx7`
`implies70+2lt12xx7`
`implies72lt84`
Option (3)
`(10xx7)-2lt(10-2)xx7`
`implies(10+7)xx2lt(10xx2)+7`
`implies17xx2lt20+7`
`implies34cancellt27`
Option (4)
`(10-:2)+7lt(10+7)xx2`
`implies(10-2)-:7lt(10-:7)+2`
`implies(8)/(7)lt(10)/(7)+2`
`implies(8)/(7)lt(10+14)/(7)implies(8)/(7)lt(24)/(7)`
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