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CMAT Modern Mathematics — practice questions

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

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The mean of observations is the sum of all values divided by:The Greek letter used to write summation in short form is:The exact mean of the 30 students' maths marks was:Students who scored exactly 40 marks go into which class interval?The class mark of a class interval is the:For the class 10-25, the class mark is:Using class marks with frequencies to compute the mean is the:The grouped mean came to 62 while the exact mean was 59.3 because of the:In the assumed mean method, d equals:The mean obtained by direct, assumed mean and step-deviation methods is:The mean percentage of female teachers in rural primary schools came to:The mean number of wickets taken by the 45 bowlers was:The value that occurs most often in the data is the:Data with more than one value sharing the maximum frequency is:In grouped data, the class with the maximum frequency is the:For the household survey with modal class 3-5, the mode came to:Among the 30 students, mode marks were 52 while mean marks were 62, so the mode was:The middle-most observation in ordered data is the:With 100 students, the median is the average of which two observations?The class whose cumulative frequency is greater than and nearest to n/2 is the:For the 53 students, the median marks came to about:The empirical relation between the three measures is 3 Median equals:An equation of the form ax + by + c = 0, with a and b not both zero, is a linear equation in:Substituting x = 1 and y = 1 in 2x + 3y = 5 gives 5, so this pair of values is:Each solution of a linear equation in two variables corresponds to:Two lines drawn in a plane can intersect, be coincident, or be:If the two lines of a pair of linear equations intersect at one point, the pair has:A pair of linear equations that has no solution is called:A pair of linear equations whose lines coincide has:A pair of equations which are equivalent, with infinitely many common solutions, is called:Akhila's rides and games gave x - 2y = 0 and 3x + 4y = 20. The lines meet at:From that solution, the number of rides Akhila had on the Giant Wheel was:Romila paid 9 for 2 pencils and 3 erasers; Sonali paid 18 for 4 pencils and 6 erasers. Their lines are:Two rails are x + 2y - 4 = 0 and 2x + 4y - 12 = 0. Do they cross?For x + 3y = 6 and 2x - 3y = 12, the common point is:If a1/a2 is not equal to b1/b2, the two lines are:If a1/a2 = b1/b2 = c1/c2, the two lines are:If a1/a2 = b1/b2 but this differs from c1/c2, the two lines are:A pair of linear equations that has a solution is called:A coach buys 3 bats and 6 balls for 3,900 and later 1 bat and 3 balls for 1,300. This is a situation of:2 kg apples with 1 kg grapes cost 160, and 4 kg apples with 2 kg grapes cost 300. The unknowns here are:Putting x = 0 in the equation 3x + 4y = 20 gives y equal to:Choosing y = 2 in 3x + 4y = 20 was preferred because it gives x as:The graphical representation of a linear equation in two variables is: