(A) Given conditions: $1$. Order: $V > P > Q$ (where $>$ means finishes ahead of). $2$. Case $1$: $R$ is $1^{st}$ and $T$ is $7^{th}$. $3$. Case $2$:

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(A) Given conditions: $1$. Order: $V > P > Q$ (where $>$ means finishes ahead of). $2$. Case $1$: $R$ is $1^{st}$ and $T$ is $7^{th}$. $3$. Case $2$: $S$ is $1^{st}$ and ($U$ or $Q$) is $7^{th}$. Given $V$ is $5^{th}$. Since $V > P > Q$,$P$ and $Q$ must occupy positions $6^{th}$ and $7^{th}$ (in some order) because they must finish after $V$. If $Q$ is $7^{th}$,then Case $2$ is possible ($S$ is $1^{st}$,$Q$ is $7^{th}$). If $Q$ is not $7^{th}$,then $P$ is $6^{th}$ and $Q$ is $7^{th}$ is not possible if $Q$ is not $7^{th}$. Wait,if $V$ is $5^{th}$,then $P$ must be $6^{th}$ and $Q$ must be $7^{th}$. Since $Q$ is $7^{th}$,Case $2$ applies: $S$ must be $1^{st}$. Thus,$S$ finishes $1^{st}$ is the correct statement.

Competitive Reasoning Puzzle Test Puzzle Test

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Seven persons $P, Q, R, S, T, U,$ and $V$ participate in and finish all the events of a series of swimming races. There are no ties at the finish of any of the events. $V$ always finishes somewhere ahead of $P$. $P$ always finishes somewhere ahead of $Q$. Either $R$ finishes first and $T$ finishes last or $S$ finishes first and $U$ or $Q$ finishes last. If in a particular race $V$ finished fifth,then which one of the following would be true?

A
$S$ finishes first
B
$R$ finishes second
C
$T$ finishes third
D
$R$ finishes fourth

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In a group of six women,there are four dancers,four vocal musicians,one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailaja do not know how to play the violin. Shailaja and Thanuja are among the dancers,Jalaja,Vanaja,Shailaja and Thanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress,who among the following is both a dancer and a violinist?

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In a school,there were five teachers. $A$ and $B$ were teaching Hindi and English. $C$ and $B$ were teaching English and Geography. $D$ and $A$ were teaching Mathematics and Hindi. $E$ and $B$ were teaching History and French. Who among the teachers was teaching the maximum number of subjects?

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The total income of $A$ and $B$ is greater than the total income of $C$ and $D$. The total income of $A$ and $C$ is equal to the total income of $B$ and $D$. Furthermore,the income of $A$ is equal to half the total income of $B$ and $D$. Which of the following statements is $NOT$ true?

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$(i)$ $A, B, C, D, E, F$ and $G$ are sitting on a wall and all of them are facing east.
$(ii)$ $C$ is on the immediate right of $D$.
$(iii)$ $B$ is at an extreme end and has $E$ as his neighbour.
$(iv)$ $G$ is between $E$ and $F$.
$(v)$ $D$ is sitting third from the south end.
Who is sitting to the right of $E$?

Medium

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In a pile of reading material,there are novels,story-books,dramas,and comics. Every novel has a drama next to it,every story-book has a comic next to it,and there is no story-book next to a novel. If there is a novel at the top and the total number of books is $40$,what is the repeating order of the books in the pile?

Medium

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In a school,there were five teachers. $A$ and $B$ were teaching Hindi and English. $C$ and $B$ were teaching English and Geography. $D$ and $A$ were teaching Mathematics and Hindi. $E$ and $B$ were teaching History and French. Who among the teachers was teaching the maximum number of subjects?

The total income of $A$ and $B$ is greater than the total income of $C$ and $D$. The total income of $A$ and $C$ is equal to the total income of $B$ and $D$. Furthermore,the income of $A$ is equal to half the total income of $B$ and $D$. Which of the following statements is $NOT$ true?

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