Question : If X : Y = 2 : 3 and Y : Z = 6 : 7, then what is the value of (X + Z) : Y?
Option 1: 17 : 14
Option 2: 17 : 15
Option 3: 11 : 6
Option 4: 11 : 8
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Correct Answer: 11 : 6
Solution : Given, X : Y = 2 : 3 And Y : Z = 6 : 7 $\therefore$ X : Y : Z = 4 : 6 : 7 ⇒ (X + Z) : Y = (4 + 7) : 6 = 11 : 6 Hence, the correct answer is 11 : 6.
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Question : If $(7 x+y):(7 x–y)=7: 2$, then what is the value of $x: y$?
Option 1: 9 : 35
Option 2: 11 : 42
Option 3: 6 : 41
Option 4: 17 : 52
Question : If x : y : z = 2 : 3 : 4, then what is the value of 7x : 3y : 2z?
Option 1: $14:9:8$
Option 2: $18:7:12$
Option 3: $12:6:11$
Option 4: $16:9:8$
Question : If (7x + y) : (7x – y) = 7 : 3, then what is the value of x : y?
Option 1: 4 : 3
Option 2: 5 : 14
Option 3: 15 : 6
Option 4: 6 : 15
Question : If (x + y) : (y + z) : (z + x) = 3 : 5 : 7 and (x + y + z) = 45, then what is the value of z?
Option 1: 18
Option 2: 30
Option 3: 27
Option 4: 20
Question : A certain amount of money is divided among x, y, and z. If x receives 25% more than y and y receives 25% less than z, then x : y : z is equal to:
Option 1: 14 : 12 : 13
Option 2: 15 : 12 : 16
Option 3: 10 : 9 : 12
Option 4: 12 : 10 : 11
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