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 : The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7 is:
Option 1: 4
Option 2: 5
Option 3: 14
Option 4: 20
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