Question : If p : q = 4 : 7 and q : r = 3 : 5, then what is the value of 2p : 3q : 5r ?
Option 1: 36 : 60 : 181
Option 2: 25 : 72 : 180
Option 3: 24 : 63 : 175
Option 4: 28 : 79 : 188
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Correct Answer: 24 : 63 : 175
Solution : Given: p : q = 4 : 7 and q : r = 3 : 5 Equating q in both the ratio, we get p : q : r = 12 : 21 : 35 Let the p, q, and r values be 12k, 21k, and 35k. So, 2p : 3q : 5r = (2 × 12k) : (3 × 21k) : (5 × 35k) = 24k : 63k : 175k = 24 : 63 : 175 Hence, the correct answer is 24 : 63 : 175.
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Question : If 2P = 3Q and 5Q = 4R, then what is the value of P : Q : R ?
Option 1: 8 : 5 : 4
Option 2: 2 : 3 : 5
Option 3: 6 : 4 : 5
Option 4: 7 : 5 : 6
Question : What is the value of 28 × 25 ÷ 7 × 15 + 63 × 56 ÷ 72 × 5 + 24 × 7 + 8?
Option 1: 2101
Option 2: 1821
Option 3: 1921
Option 4: 1901
Question : If p : q : r = 2 : 5 : 3 and r : s = 6 : 5, then what is the value of p : q : r : s?
Option 1: 4 : 12 : 7 : 3
Option 2: 4 : 10 : 6 : 5
Option 3: 6 : 5 : 8 : 10
Option 4: 8 : 12 : 7 : 8
Question : What is the value of $44÷11×4+5 ×8÷ 4-7 × 36÷14+7×4?$
Option 1: 33
Option 2: 24
Option 3: 28
Option 4: 36
Question : The value of $3 \frac{2}{7}+14 \frac{4}{9}+5 \frac{3}{9}$ is:
Option 1: $21 \frac{4}{63}$
Option 2: $25 \frac{4}{63}$
Option 3: $23 \frac{4}{63}$
Option 4: $22 \frac{4}{63}$
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