Question : If 16 : $x$ :: $x$ : 196, find the positive value of $x$?
Option 1: 60
Option 2: 62
Option 3: 56
Option 4: 64
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Correct Answer: 56
Solution : Given, 16 : $x$ :: $x$ : 196 ⇒ $\frac{16}{x}=\frac{x}{196}$ ⇒ $x^2=16\times196$ ⇒ $x=4\times 14$ ⇒ $x=56$ Hence, the correct answer is 56.
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Question : If $8 : x :: x : 32$, find the positive value of $x$.
Option 1: 20
Option 2: 16
Option 3: 4
Option 4: 12
Question : If $2 : x :: 4 : 28$, then find the value of $x$.
Option 1: 15
Option 2: 12
Option 3: 13
Option 4: 14
Question : Find the value of X for {15 × 32 ÷ 2 × 5} ÷ X=16
Option 1: 75
Option 2: 76
Option 3: 78
Option 4: 55
Question : If $\frac{J}{4}=\frac{K}{5}=\frac{L}{3}$, what is the value of $(L + J)^2:(J +K)^2:(K +L)^2$?
Option 1: 25 : 16 : 9
Option 2: 64 : 25 : 81
Option 3: 49 : 81 : 62
Option 4: 49 : 81 : 64
Question : If the third proportion to 10 and X is 90 and the third proportion of 12 and Y is 27. Find the value of (X + Y).
Option 1: 56
Option 2: 44
Option 3: 48
Option 4: 50
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