Maths and Statistics CMA Foundation DEC 2023 Answer Key | DEC 2023 Complete Paper Solution

Описание: maths and Statistics CMA Foundation DEC 2023 Answer Key | DEC 2023 Complete Paper Solution
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Time Stamps
0:00 introduction
0:32 The age of two person are in the ratio 4:3. If the age of the younger person is 8 yrs less than the other, then the age of the elder person is
2:26 If 15 men working 8 hours a day can complete a piece of work in 25 days, find how many days will be taken by 12 men working 10 hours a day to complete it.
5:52 A person deposited 1000 rs in a bank at 4% p.a. simple interest. What will be the amount after 10 yrs?
6:52 A sum of 10000 rs deposited at c.i. becomes double after 5 years. After 20 years it will become
12:22 A takes 4 hours to cover a distance 80km and B takes 5 hours to cover the same distance. How much distance would A cover more than B in 15 hours?
15:50 If P and Q are two sets then P∆Q is equal to
16:24 If the sets A = {2,4,6}, B = {2,3,5} and C = {1,2,5,6}, then A∪(B∩C) is
18:06 If log_10⁡7= a, then log_10 (1/70) is equal to
20:07 If log2(log3(log2x)) =1, find the value of x.
21:35 In how many ways can the colours of the rainbow be arranged so that the red and blue colours are always separated?
24:41 There are 7 questions in an examination, out of which 2 are difficult. In how many ways a student can select 4 questions so that 2 difficult questions are included?
31:45 If the sum of the two roots of the quadratic equation (a+1)x2+(2a+3)x+(3a+7) = 0 be -1, then the value of a is
36:40 Fill the gap: the ------ of a class is the frequency obtained by adding the frequencies of all classes preceding the given class.
38:16 The numbers of science, arts and commerce graduates in a company are 30,70 and 50 respectively. If these figures are represented by a pie – chart, then what is the angle corresponding to science graduates?
42:57 The median of the data 13,16,19,15,20,17 is
44:40 If the mean and median of a certain set of observations be 26.25rs and 32.50rs respectively, then the approximate value of mode is
46:41 The sum of deviations of 24 observations measured from 4 is 276. Mean of the observations is
48:34 The A.M. of 100 observations is 40. Later on, it was found that the two observations 52 and 28 were wrongly copied as 44 and 86. Find the correct mean.
51:40 The mean deviations of the numbers 95, 33, 88, 68, 32, 80, 48, 70 from the median is
56:32 For a skewed distribution mean = 100, median = 98.5, and s.d. = 9. Then the coefficient of skewness is
57:39 If the sum of squares of the deviations of 10 observations from mean 50 is 250, then C.V. is
01:00:12 If var(x) = 6.25, var(y) = 4 and cov(x,y) = 0.9, then the coefficient of correlation between x and y is
01:01:54 For 10 sets of ranks of two variables x and y the sum of differences between the ranks is 30. Find the rank correlation coefficient.
01:04:20 If the two regression lines corresponding to two variables x and y meet at a point (2,3), var(x) = 4, var(y) = 1 and correlation coefficient between x and y is 1/2 , find the estimated value of y for x=6.
01:07:35 If the regression lines are perpendicular to each other, then the correlation coefficient between the variables is
01:08:37 Which one of the following statements is true?
01:09:37 The slope of the regression line y on x is
01:12:09 the correlation coefficient between two variables lies between
01:12:51 What is the probability of getting a sum 3 if two dice are thrown together?
01:15:59 The probability of A hitting the target is 1/5 and the probability of B not hitting the target is 3/4. The probability of hitting the target is
01:18:32 Two cards are drawn from a well shuffled pack of cards. The probability of getting two hearts is
01:20:06 Given P(B) = 1/3, P(AB)= ¼, then P(A/B) is
01:21:19 The probability of an impossible event is
01:21:54 If X and Y be two independent events, then P(XY) is equal to
01:22:45 The chances of getting a defective screw from two boxes A and B are 1/5 and 1/6 respectively. A box is selected at random and a screw is drawn at random from the selected box. It is found to be defective. Find the probability that it came from box A.
01:32:44 The prices of commodity in the year 2010 and 2020 were 40rs and 50rs respectively. Find the price relative of 2020 taking 2010 as base year.
01:34:05 The component of a time series associated with the “long term increase in sale of TV sets” is