Question : If $B:A = 2:3$ and $A:C = 5:7$, then what is $(A + B):(B + C)$?
Option 1: $25:26$
Option 2: $25:36$
Option 3: $25:31$
Option 4: $27:43$
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Correct Answer: $25:31$
Solution : $B:A = 2:3$ -----------(1) $A:C = 5:7$ -----------(2) Multiply equation (1) by 5 and equation (2) by 3, we have: $B:A = 10:15$ $A:C = 15:21$ ⇒ $B:A: C = 10:15:21$ Let $B=10k,A=15k,$ and $C=21k$ So, $(A + B):(B + C) = (15k + 10k):(10k + 21k) = 25k:31k=25:31$ Hence, the correct answer is $25:31$.
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Question : If A : B = 3 : 2, B : C = 7 : 5 and C : D = 10 : 3, then what is A : D equal to?
Option 1: 7 : 1
Option 2: 1 : 7
Option 3: 4 : 3
Option 4: 3 : 4
Question : If A : B = 5 : 4, B: C = 6 : 5, C: D = 7 : 10, then what is the value of A : D?
Option 1: 21 : 25
Option 2: 7 : 3
Option 3: 21 : 20
Option 4: 25 : 24
Question : If $A:B: C=2:3:4$, then what will be the value of $\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$?
Option 1: $9: 5: 36$
Option 2: $8: 7: 25$
Option 3: $8: 9: 24$
Option 4: $12: 10: 13$
Question : if $\frac{a}{b}=\frac{2}{3}$ and $\frac{b}{c}=\frac{4}{5}$, then $(a+b):(b+c)$=?
Option 1: 3 : 4
Option 2: 4 : 5
Option 3: 5 : 9
Option 4: 20 : 27
Question : If ${A}=3+7 \times 2, {~B}=12 \div 4-6$, and ${C}=6 \times 5+2$, then what is the value of ${A} \times {B}+{C}$ ?
Option 1: –22
Option 2: –19
Option 3: –25
Option 4: –26
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