Question 65

If + means division, - means multiplication, '÷' means subtraction, x means addition, and < means less than, then which of the following is false

Solution

 + means division, - means multiplication, '÷' means subtraction, x means addition, and < means less than

(A) : $$(10+2)\div7 < (10\div7)+2$$

$$\equiv(10\div2)-7<(10-7)\div2$$

=> $$5-7<\frac{3}{2}$$

=> $$-2<1.5$$      [TRUE]

(B) : $$(10-7)\times2 < (10\times2)-7$$

$$\equiv(10\times7)+2<(10+2)\times7$$

=> $$70+2<12\times7$$

=> $$72<84$$      [TRUE]

(C) : $$(10\times7)-2 < (10-2)\times7$$

$$\equiv(10+7)\times2<(10\times2)+7$$

=> $$17\times2<20+7$$

=> $$34<27$$     [FALSE]

=> Ans - (C)


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