archieprima wrote:
If the symbol ▼ represents a sequence of any two (unique or repeated) operations from either addition, subtraction, multiplication, or division, i.e. x ▼ y = (x & y) # y where operators & and # can be either addition, subtraction, multiplication, or division, e.g. two possibilities of x ▼ y can be (x + y) + y and (x +y ) / y, what is the value of 16 ▼ 2?
(1) 18 ▼ 3 = 3
(2) 8 ▼ 2 = 2
Given: The symbol ▼ represents a sequence of any two (unique or repeated) operations from either addition, subtraction, multiplication, or division, i.e. x ▼ y = (x & y) # y where operators & and # can be either addition, subtraction, multiplication, or division, e.g. two possibilities of x ▼ y can be (x + y) + y and (x +y ) / y
Asked: What is the value of 16 ▼ 2?
(1) 18 ▼ 3 = 3
(18/3)-3=3
& is NOT +, - or * since 18+3 = 21; 18-3=15; 18*3=54 and any operation with 3 will not yield 3.
& = /
6-3=3 is the only possibility
# = -
16 ▼ 2 = (16/2)-2 = 6
SUFFICIENT
(2) 8 ▼ 2 = 2
& is not *, + or - since 8*2 = 16; 8+2 =10; 8-2 =6 and any operator with 2 will not yield 2
& = /
(8/2)-2 = 2
(8/2)/2 = 2
# may be - or /
16 ▼ 2 = (16/2)/2 = 4
16 ▼ 2 = (16/2)-2 = 6
NOT SUFFICIENT
IMO A