$(A)$ $P, Q, R, S$ and $T$ are sitting in a circle facing the centre.
$(B)$ $R$ is immediate left of $T.$
$(C)$ $P$ is between $S$ and $T.$
To find the answer to the above question,which of the following statements can be dispensed with?

  • A
    None
  • B
    $B$ only
  • C
    $C$ only
  • D
    $B$ or $C$ only

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Ashish is heavier than Govind. Mohit is lighter than Jack. Pawan is heavier than Jack but lighter than Govind. Who among them is the heaviest?

Five men $A, B, C, D$ and $E$ read a newspaper. The one who reads first gives it to $C.$ The one who reads last had taken from $A. E$ was not the first or last to read. There were two readers between $B$ and $A.$ Who read the newspaper last?

Clearly,$Q$ is neither a hockey player nor a chess player. So,he must be a football player and thus cannot be a lady. $T$ is a husband (not a lady) and so must be a chess player. Hence,$R$ must be a hockey player,and therefore she must be a lady and $T$'s wife. So,the information can be summarised as follows:
$P -$ unmarried lady,does not participate in games.
$Q -$ brother of $R$,football player.
$R -$ hockey player,$T$'s wife.
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$(i)$ $P, Q, R, S, T$ and $U$ are six students pursuing their Master's degree in six different subjects $-$ English,History,Philosophy,Physics,Statistics and Mathematics.
$(ii)$ Two of them stay in a hostel,two stay as paying guests $(PG)$ and the remaining two stay at their home.
$(iii)$ $R$ does not stay as a $PG$ and studies Philosophy.
$(iv)$ The students studying Statistics and History do not stay as $PG$.
$(v)$ $T$ studies Mathematics and $S$ studies Physics.
$(vi)$ $U$ and $S$ stay in a hostel. $T$ stays as a $PG$ and $Q$ stays at home.
Which of the following pairs of students stay one each at a hostel and at home?

$(A)$ Gopal is shorter than Ashok but taller than Kunal;
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