Question : If A : B = 2 : 5, B : C = 4 : 3, and C : D = 2 : 1, what is the value of A : C : D?
Option 1: 6 : 5 : 2
Option 2: 7 : 20 : 10
Option 3: 8 : 30 : 15
Option 4: 16 : 30 : 15
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Correct Answer: 16 : 30 : 15
Solution : Given: A : B = 2 : 5, B : C = 4 : 3 and C : D = 2 : 1 In A : B = 2 : 5, multiply by 4 and in B : C = 4 : 3, multiply by 5, We get, A : B = 8 : 20 and B : C = 20 : 15 ⇒ A : B : C = 8 : 20 : 15 Now, in A : B : C = 8 : 20 : 15, multiply by 2 and in C : D = 2 : 1, multiply by 15. We get, A : B : C = 16 : 40 : 30 and C : D = 30 : 15 $\therefore$ A : B : C : D = 16 : 40 : 30 : 15 So, A : C : D = 16 : 30 : 15 Hence, the correct answer is 16 : 30 : 15.
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Question : If A : B = $\frac{1}{2}:\frac{1}{3}$, B : C = $\frac{1}{5}:\frac{1}{3}$ ,then (A + B) : (B + C) is equal to:
Option 1: 5 : 8
Option 2: 9 : 10
Option 3: 15 : 16
Option 4: 6 : 15
Question : Directions: The information given below represents the number codes for the given letters. Select the combination of numbers so that the letters arranged accordingly will form a meaningful word. R = 1, E = 2, A = 3, C = 4, T = 5, I = 6, V = 7, E = 8
Option 1: 4, 1, 2, 3, 5, 8, 7, 6
Option 2: 4, 1, 2, 3, 5, 6, 7, 8
Option 3: 7, 2, 1, 3, 8, 4, 5, 6
Option 4: 4, 3, 1, 5, 6, 7, 8, 2
Question : Directions: If A denotes +, B denotes –, C denotes × and D denotes ÷, then which of the following equations is true?
Option 1: 8 B 6 D 2 A 4 C 3 = 15
Option 2: 8 A 8 B 8 C 8 = – 48
Option 3: 9 C 9 B 9 D 9 A 9 = 17
Option 4: 3 A 3 B 3 C 3 A 3 D 3 = 4
Question : Directions: If 6 # 30 = 5, 8 # 24 = 3, 7 # 28 = 4 then, what is the value of 8 # 40 = ?
Option 1: 47
Option 2: 4
Option 3: 5
Option 4: 24
Question : If A : B = 2 : 3 and B : C = 3 : 7, then (A + B) : (B + C) : (C + A) is:
Option 1: 4 : 8 : 9
Option 2: 5 : 8 : 9
Option 3: 5 : 10 : 9
Option 4: 4 : 10 : 9
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