CAT Logical Reasoning — practice questions
79 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Logical Reasoning in the app →PASSAGE:
Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi fPASSAGE:
Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi fPASSAGE:
Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi fPASSAGE:
Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi fIn how many distinct ways can 6 people be seated around a circular table?In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many like neither?A says: 'B is my father's only daughter.' Who is B to A?The statement 'If a student is late, they stand outside' logically implies which of these?To win a panchayat election, a candidate must be 25+ AND a resident. Being 25 alone is which kind of conditionIf 'All cats are mammals' and 'All mammals are warm-blooded', then logically:A walker goes 3 km North, then 4 km East. His distance from the start is:A 3 × 3 × 3 cube is painted on all sides and then cut into 27 unit cubes. How many small cubes have EXACTLY 2 In a school cricket league, A beat B, B beat C, and C beat D. Which is true?The two kinds of reasoning in mathematical language are deductive and:A sentence is an acceptable statement only if it is:Why is Women are more intelligent than men not a statement?Which of these can never be a statement?Why is Tomorrow is Friday not a statement?Is There are 40 days in a month a statement?The denial of a statement is called its:The negation of Everyone in Germany speaks German means:Which mathematician discussed making new statements from old in The Laws of Thought?A statement made up of two or more statements is called:A compound statement joined by And is true only when:The statement 42 is divisible by 5, 6 and 7 is:An ice cream or a pepsi with a thali, where you cannot have both, uses:A student who has taken biology or chemistry, and one with both may also apply, uses:A compound statement with Or is false only when:The statement 125 is a multiple of 7 or 8 is:Phrases like there exists and for all are called:In p implies q, p is described as:The contrapositive of if p then q is:The contrapositive of If a number is divisible by 9, then it is divisible by 3 is:The converse of if p then q is:If p if and only if q, then p is described as:A set that contains no element at all is called the:The set of even prime numbers greater than 2 is:A set whose elements can be counted and come to an end is called:Writing all the elements of a set inside braces is called the:Repeating an element while listing a set:A is a subset of B when every element of A is also an element of:Every set is a subset of:The empty set is a subset of:A is contained in B and the two are not equal. Then A is called a:A set with exactly one element is called a:The collection of all subsets of a set is called its:How many subsets does the set with elements 1 and 2 have?If a set has m elements, the number of members of its power set is:The basic set relevant to a whole discussion, holding all the sets in it, is the:Diagrams that show relationships between sets are named after:In such a diagram the universal set is usually drawn as a:The set of all elements that belong to A or to B is their:The set of all elements that belong to both A and B is their:Two sets whose intersection has no element are called:With A holding 1 to 6 and B holding 2, 4, 6 and 8, the set A minus B is:The set of elements of the universal set that do not belong to A is called:The rule that the complement of a union equals the intersection of the complements is one of:Mohan owns 3 pants and 2 shirts. The number of pant and shirt pairs he can wear is:Sabnam has 2 school bags, 3 tiffin boxes and 2 water bottles. Choosing one of each, she can carry them in:If one event can happen in m ways and then another in n ways, the pair happens in:Four letter words from the letters of ROSE, with no letter repeated, number:If letters may repeat, the number of four letter words from R, O, S and E becomes:With 4 flags of different colours, signals using 2 flags one below the other number:Two digit even numbers formed from the digits 1, 2, 3, 4, 5 with repetition allowed number:Using 5 different flags, signals of at least 2 flags on a staff number:Three digit numbers from the digits 1 to 5, with repetition allowed, number:Three digit numbers from the digits 1 to 5, with no digit repeated, number:An arrangement in a definite order of objects taken some or all at a time is a:Choosing 2 objects out of 3 without caring about order gives each result the name:The product 1 times 2 times 3 up to n is written as:The value of 5 factorial is:The value of 6 factorial is:The number of permutations of n different objects taken r at a time, with no repetition, is written as:Permutations of n objects where p are alike and the rest all differ number:The relation linking arrangements and selections of r objects from n is nPr equals:The number of ways to arrange all 5 different flags on a staff is:Three digit even numbers from the digits 1 to 6, with repetition allowed, number:Signals using exactly 3 flags out of 5 different flags number:Signals using exactly 4 flags out of those 5 different flags number: