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What is the largest human organ?

. Let T be a random variable giving the number of heads in

three tosses of a coin. List the elements of the sample

space S for the three tosses of the coin and assign a value

to each sample point.


. An ABC company’s plans to give a 6% year-end bonus to each of its employees



earning Rs 6,000 or more per month, and a fixed Rs. 250 bonus to the remaining



employees. Write an algorithm for calculating the bonus for an employee.

Let T be a random variable giving the number of heads in

three tosses of a coin. List the elements of the sample

space S for the three tosses of the coin and assign a value

to each sample point.



A 2.0-liter container of nitrogen had a pressure of 3.2 atm. What volume would be



necessary to decrease the pressure to 1.0 atm.



0.15 gm of calcium carbonate is dissolved in 1 liter of distilled water. 20 ml of this

standard hard water requires 25 ml of EDTA solution. 100 ml of unknown hard water requires 18 ml of EDTA solution. The same water sample after boiling requires 12 ml of EDTA solution. Calculate Temporary hardness of water sample in ppm.


Standard hard water is prepared by dissolving 0.28 gm of calcium carbonate in dilute HCI

and then diluted to 1 liter with distilled water. 100 ml of this standard hard water requires 28 ml of EDTA solution. 100 ml of unknown hard water requires 33 ml of EDTA solution. 100 ml of same water sample after boiling requires 10 ml of EDTA solution. Calculate Total, Permanent and Temporary hardness of water sample


0.45 gm of calcium carbonate is dissolved in 1 liter of distilled water. 50 ml of this

standard hard water requires 20 ml of EDTA solution. 50 ml of unknown hard water requires 12 ml of EDTA solution. 50 ml of same water sample after boiling requires 8 ml of EDTA solution. Calculate Total, Permanent and Temporary hardness of water sample


6. Given a set of n numbers which of the following is not changed by adding a

non-zero constant to each of the numbers.

A. the median                     B.the mid-range

C.the arithmetic mean      D.the standard devation


7. From the following which is the best measure of dispersion?

A. Range                         B. standard devation

C. Quartile devation      D. The 10-90 percentile range


8. Suppose the mean score of 35 students in an exam of a course was found to be 76. But later on it is discovered that the scores of two students 84 and 93 was misread as 48 and 39. Then the correct mean was (in one decimal place)

A. 78.6          B. 73.4       C. 74.0    D. 81.1




Part 1. Choose the correct answer and write the letter responding to it on the answer sheet.


1. The type of graph for grouped frequency distribution that plot marks against frequency

A. O gives                           B. Vertical line graph

C.Frequency polygon        D. Histogram

E. None


2 In a histogram, the bar with the greatest height represents

A. The median group

B. Interval containing the mean value

C.The modal group

D. Interval with greatest variation

E. None


3. If the price of a commodity increasca from birr 16 to birr 81 in a period of four years

Then the average percentage increase in price per year is

A. 50%          B. 65%          C. 16.25%       D.50.6%


4.The harmonic mean of the numbers 1, 2, 3,6,12 is

A. 4.8         B. 24          C. 10          D. 3.6


5. The mean age of students in three sections consisting of 38, 30. and 32 students are 35, 29, and 25 years respectively then mean age of all the students taken together is

A. 33.3 yr      B. 29.7 yr       C. 29.5 yr      D. 30.0 yr





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