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If p : q = r : s = t : u = 2 : 3, then (mp + nr + ot) : (mq + ns + ou) equals :
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- 3 : 2
- 2 : 3
- 1 : 3
- 1 : 2
- 3 : 2
Correct Option: B
= | = | = | |||||
q | s | u | 3 |
⇒ | = | = k | ||
2 | 3 |
⇒ = 2k, q = 3k
Similarly, r = 2k, s = 3k, t = 2k, u = 3k
Now | = | ||
mq + ns + ou | m.3k + n.3k + o.3k |
= | = | or 2 : 3 | ||
3k(m + n + o) | 3 |