Question bank

TMUA-P2-ARG2-001

Let $P$ and $Q$ be statements. To say that “$P$ is sufficient for $Q$” means which of the following?

TMUA-P2-ARG2-002

Let $P$ and $Q$ be statements. To say that “$P$ is necessary for $Q$” means which of the following?

TMUA-P2-ARG2-003

Let $P$ be “$n$ is a multiple of $4$” and $Q$ be “$n$ is even”, for an integer $n$. How is $P$ related to $Q$?

TMUA-P2-ARG2-004

It is given that “$n$ divisible by $6$” is sufficient for “$n$ divisible by $3$”. Which of the following conclusions is…

TMUA-P2-ARG2-005

Let $P$ be “$n^2$ is odd” and $Q$ be “$n$ is odd”, for an integer $n$. Which description of $P$ relative to $Q$ is corre…

TMUA-P2-ARG2-006

An airline states that holding a valid passport is necessary but not sufficient for boarding an international flight, be…

TMUA-P2-ARG2-007

Let $P$ be “$n$ is divisible by $10$” and $Q$ be “$n$ is divisible by both $2$ and $5$”. Which statement about necessity…

TMUA-P2-ARG2-008

A puzzle book gives two clues about three statements $A$, $B$ and $C$ concerning a hidden integer: clue one says that $A…

TMUA-P2-ARG2-009

Which of the following statements is FALSE?

TMUA-P2-ARG2-010

Let $P$ be “a quadrilateral is a square” and $Q$ be “it is a rectangle”. How is $P$ related to $Q$?

TMUA-P2-ARG2-011

Let $P$ be “$n$ is a multiple of $9$” and $Q$ be “$n$ is a multiple of $3$”, for an integer $n$. How is $P$ related to $…

TMUA-P2-ARG2-012

It is given that “$x > 10$” is sufficient for “$x > 5$”, where $x$ is real. Which of the following conclusions is valid?

TMUA-P2-ARG2-013

Let $P$ be “$n$ is divisible by $12$” and $Q$ be “$n$ is divisible by both $3$ and $4$”. Which statement about necessity…

TMUA-P2-ARG2-014

Three statements about an integer $n$ are given: $A$ is “$n$ is a multiple of $3$”, $B$ is “$n$ is a multiple of $12$”,…

TMUA-P2-ARG2-015

A driving school states that passing the theory test is necessary but not sufficient for a full licence, because candida…

TMUA-P2Y-ARG-007

Let $R$ and $S$ be statements. To say that “$R$ is enough to guarantee $S$”, i.e. that $R$ is sufficient for $S$, means…

TMUA-P2Y-ARG-008

Let $P$ be “$n$ is a multiple of $12$” and $Q$ be “$n$ is a multiple of $6$”, for an integer $n$. How is $P$ related to…

TMUA-P2Y-ARG-009

Let $P$ be “$n$ is odd” and $Q$ be “$n$ is a prime greater than $2$”, for an integer $n$. Which description is correct?