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Given below are two premises i and ii. Four conclusions are drawn from them (taking singly or together). Premises: i) Some prisoners are dacoits. ii) Some dacoits are murderers. Conclusions: a) Some prisoners are murderers. b) All prisoners are murderers. c) Some dacoits are prisoners. d) Some murderers are dacoits. Select the code that states the validly drawn conclusions:

Given below are two premises i and ii. Four conclusions are drawn from them (taking singly or together). Premises: i) Some prisoners are dacoits. ii) Some dacoits are murderers. Conclusions: a) Some prisoners are murderers. b) All prisoners are murderers. c) Some dacoits are prisoners. d) Some murderers are dacoits. Select the code that states the validly drawn conclusions: Correct Answer Only c and d

The least possible Venn diagram:

[ alt="F1 5f1e81fe047f070d0fb801b5,5f1e8d7f05aba90d0abd5293,5f1e901188802e0d0b565d52 Alka.S 25-08-20 Savita D3" src="//storage.googleapis.com/tb-img/production/20/08/F1_5f1e81fe047f070d0fb801b5%2C5f1e8d7f05aba90d0abd5293%2C5f1e901188802e0d0b565d52_Alka.S_25-08-20_Savita_D3.png" style="width: 290px; height: 56px;">

Conclusions:

a) Some prisoners are murderers → False (it is possible but not definite)

b) All prisoners are murderers → False (it is possible but not definite)

c)  Some dacoits are prisoners → True (This is definitely true, we can see from above figure)

d) Some murderers are dacoits → True (This definitely true)

Hence,​ only c and d follows.

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