Question

X ∪ Y means divide X by Y

X ↑ Y means multiply X by Y

X # Y means subtract Y from X

X ∩ Y means add Y to X

A receives X number of balls. He gives 10% of his ball to B , 15% of his ball to C and 12% of his ball to D. How many balls does he have with him now?

• A. X $\cap$ X $\uparrow$ (10 $\cup$ 100) $\cap$ X $\uparrow$ (15 $\cup$ 100) # X $\uparrow$ (12 $\cup$ 100)
• B. X $\cap$ X $\uparrow$ (10 $\uparrow$ 100) $\cap$ X (15 $\uparrow$ 100) $\cap$ X $\uparrow$ (1 $\uparrow$ 100)
• C. X # [X $\uparrow$ (10 $\cup$ 100) $\cap$ X $\uparrow$ (15 $\cup$ 100) $\cap$ X $\uparrow$ (12 $\cup$ 100)]
• D. None of these

Answer 1

Answer: (C)

X # [X $\uparrow$ (10 $\cup$ 100) $\cap$ X $\uparrow$ (15 $\cup$ 100) $\cap$ X $\uparrow$ (12 $\cup$ 100)]

According to the question after giving each one their share,

A has balls$=x-[x\times \frac{10}{100}+x\times \frac{15}{100}+x\times \frac{12}{100}]$

Exchange the sign according to the symbols given
X # [X $\uparrow$ (10 $\cup$ 100) $\cap$ X $\uparrow$ (15 $\cup$ 100) $\cap$ X $\uparrow$ (12 $\cup$ 100)]
hence option C is answer.