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CAT Inequalities — practice questions

35 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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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?Two expressions joined by a less-than or greater-than sign form an:Statements such as 3 less than 5 and 7 greater than 5 are examples of:Statements such as x less than 5 and y greater than 2 are examples of:A statement like 3 less than x less than 5 is called a:Inequalities using only the strict signs, without an equals part, are called:Inequalities that also allow equality are called:Adding the same number to both sides of an inequality:Multiplying both sides of an inequality by the same positive number:Multiplying or dividing both sides by a negative number means the sign of the inequality is:Solving 30x less than 200 gives x less than:When x must be a natural number, the solutions of 30x less than 200 are:How many natural number solutions does 30x less than 200 have?When x may be any integer, the solutions of 30x less than 200 include:Solving 5x minus 3 less than 3x plus 1 gives:When x is an integer in that inequality, the largest solution is:When x is a real number in that inequality, the solution set is written as:Solving 4x plus 3 less than 6x plus 7 gives:The set of all values of the variable that make an inequality true is called its:Unless stated otherwise, inequalities in that chapter are solved over the set of:Which sign makes a statement an inequality rather than an equation?A firm needing at least 6 units and at most 10 would write that as a:The study of inequalities is described as useful in solving problems in science and: