1)

If (a - b) is 6 more than (c + d) and (a + b) is 3 less than (c - d), then (a - c) is :


A) 0.5

B) 1

C) 1.5

D) None of these

Answer:

Option C

Explanation:

(a-b) - (c+d) = 6
(c-d)-(a+b) = 3
$\Rightarrow$ (a-c) - (b+d) = 6 and (c-a) - (b+d) = 3
(b+d) = (a-c) - 6 and (b+d) = (c-a)-3
(a-c)-6 = (c-a) - 3 $\Rightarrow$ 2(a-c) = 3
$\Rightarrow$ (a-c) = $\frac{3}{2} = 1.5$