
question_answer1) The median of the following data 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92 is
A) 87
B) 77
C) 58
D) 602
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question_answer2) Mean of a set of observations is the value which
A) occurs most frequently
B) divides observations into two equal parts
C) is a representative of the whole group
D) is the sum of observations.
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question_answer3) The daily earnings (in Rs.) of 10 workers in a factory are 8, 16, 19, 8, 16, 19, 16, 8, 19, 16. The median wage is
A) Rs. 17.50
B) Rs. 8.00
C) Rs. 19.00
D) Rs. 16.00
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question_answer4) The mean of 6, y, 7, x and 14 is 8. Then
A) \[x+y=13\]
B) \[xy=13\]
C) \[2x+3y=13\]
D) \[{{x}^{2}}+{{y}^{2}}=15\]
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question_answer5) The mode of a set of observations is the value which
A) occurs most frequently
B) is central
C) is between maximum and minimum
D) none of the foregoing
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question_answer6) The difference between the maximum and the minimum observations in the data is
A) class interval
B) frequency
C) cumulative frequency
D) range
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question_answer7) The number of times a particular item occurs in a class interval is called its
A) mean
B) frequency
C) cumulative frequency
D) none of these
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question_answer8) If the mean of \[x\] and \[1\text{/}x\] is M, then the mean of \[{{x}^{2}}\]and \[1\text{/}{{x}^{2}}\]is
A) \[{{M}^{2}}\]
B) \[{{M}^{2}}\text{/}4\]
C) \[2{{M}^{2}}1\]
D) \[2{{M}^{2}}+1\]
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question_answer9) In an examination, a candidate scores the following percentage of marks. English?44; Hindi?58; Maths?74; Physics?61 Chemistry ? 62. If weights 2, 4, 4, 5, 3 respectively are allotted to these subjects, then the candidate's weighted mean percentage is
A) 61
B) 61.5
C) 62
D) 62.5
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question_answer10) The average monthly income of a four member family is Rs. 610.25. After the marriage of one girl and her leaving the family, the average income of the family becomes Rs. 650.75. Then the salary of the married, girl was
A) Rs. 488.25
B) Rs. 488.75
C) Rs. 479.75
D) Rs. 489.25
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question_answer11) The mean of first 10 natural numbers is
A) \[\frac{5}{2}\]
B) \[\frac{11}{2}\]
C) \[\frac{13}{2}\]
D) \[5\]
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question_answer12) In a class test in English, 10 students scored 75 marks, 12 scored 60 marks, 8 scored 40 marks and 3 scored 30 marks. The mode for their scores is
A) 75
B) 30
C) 60
D) 25
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question_answer13) The mean of first five prime numbers is
A) 3
B) 3.6
C) 7
D) 5.6
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question_answer14) The average age of a group of eight members of a club is the same as it was 3 years ago, when a young member is substituted for an old member? The incoming member is younger to the outgoing member by
A) 11 years
B) 24 years
C) 28 years
D) 16 years
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question_answer15) The mean of 20 items of a data is 5; and if each item is multiplied by 3, then the mean will be
A) 5
B) 10
C) 15
D) 20
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question_answer16) The following table shows the weights of 12 students: The mean weight is
A) 70.36
B) 70.89
C) 70.25
D) None of these
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question_answer17) The mean of the ages of 20 students is 10 years. 5 students with the mean age of 15 years leave the class. Mean of the ages of the remaining students will be:
A) 4
B) 5.66
C) 6.25
D) 8.33
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question_answer18) Calculate the median in the following frequency distribution:
A) 90
B) 70
C) 83.75
D) 85
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question_answer19) Find the mean of 50 observations. It is given that the mean of 32 of them is 28 and the mean of the remaining 18 observations is 30.
A) 30.24
B) 28.72
C) 24.82
D) 30.32
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question_answer20) In which data set are the mean, median, mode and range all the same number?
A) 1,2,3,3,2,1,2
B) 1,2,3,1,2,3,1
C) 1,3,3,3,2,3,1
D) 2,2,1,2,3,2,3
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question_answer21) Which of the following represents statistical data?
A) The names of owners of shops located in a shopping complex
B) The volume of rainfall in a certain geographical area recorded every month for 24 consecutive months.
C) A list giving the names of all states of India.
D) None of these
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question_answer22) The event of drawing a red card from a pack of blue, white and black cards is
A) unlikely
B) certain
C) impossible
D) likely
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question_answer23) In a class there are 15 boys and 5 girls. If one child is absent, the probability that it is a boy, is
A) \[\frac{1}{5}\]
B) \[\frac{2}{5}\]
C) \[\frac{3}{5}\]
D) \[\frac{4}{5}\]
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question_answer24) The probability of drawing a face card from a standard pack of 52 cards is
A) \[\frac{1}{13}\]
B) \[\frac{4}{13}\]
C) \[\frac{10}{13}\]
D) \[\frac{3}{13}\]
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question_answer25) A letter is chosen at random from the word ?PROBABILITY?. The probability that it is a vowel is
A) \[\frac{6}{11}\]
B) \[\frac{3}{11}\]
C) \[\frac{7}{11}\]
D) \[\frac{4}{11}\]
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question_answer26) It will be a Wednesday in one of the next 7 days. The event is
A) likely
B) unlikely
C) certain
D) having an even chance
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question_answer27) "You will be a year younger next year". The event is
A) likely
B) certain
C) impossible
D) having an even chance
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question_answer28) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D E
A) 4 5 3 2 1
B) 5 4 2 1 3
C) 4 5 1 2 3
D) 5 4 3 2 1
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question_answer29) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D E
A) 5 4 3 2 1
B) 5 4 1 2 3
C) 5 4 3 1 2
D) 4 5 3 1 2
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question_answer30) DIRECTIONS: Match ColumnI with ColumnII and select the correct answer using the codes given below the columns. A B C D E
A) 4 2 1 5 3
B) 2 4 5 1 3
C) 2 4 1 3 5
D) 4 2 5 1 3
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question_answer31) Which of the following statement is/are true? The mode is always one of the numbers in a data. (ii) The mean is one of the numbers in a data. (iii) The median is always one of the numbers in a data.
A) only (i)
B) only (ii) and (iii)
C) only (i) and (iii)
D) only (ii)
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question_answer32) Which of the following statement is/are false? The mean of the first five multiples of 2 is 6. (ii) The mode of the data set 4, 8, 4, 11, 4, 12, 8 is 4. (iii) If there are 19 values in a data set arranged in descending order, then the median is the 5th term.
A) only (i)
B) only (ii)
C) only (iii)
D) All of these
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question_answer33) Which of the following statement(s) is not correct for a bar graph? Distance between two consecutive bars is the same. (ii) The bars can touch each other. (iii) All bars have different thickness.
A) (i) and (ii)
B) only (ii)
C) only (iii)
D) only (i)
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question_answer34) The data given below are the times m minutes. 10, 15, 13, 22 It takes four students to go to school from their homes. Which of the following statement (s) about the data is/are false? (i) The mean is 11. (ii) The median is 15. (iii) The range is 14.
A) only (i) and (ii)
B) only (ii) and (iii)
C) only (i) and (iii)
D) All the statements are false
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question_answer35) Which of the following statement (s) is correct about ?Secondary Data?? It is the data which is not arranged in any particular pattern. (ii) It is the data that have been collected by others and used by someone else. (iii) It is the data which is arranged in classes or group.
A) only (i) and (ii)
B) only (ii)
C) only (iii)
D) only (ii) and (iii)
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question_answer36) Which of the following statement(s) is correct? An event is a possible outcome of the trial. (ii) Probability uses numbers to measure the chance of a outcome happening. (iii) A trial is a random experiment repeated under same conditions.
A) Neither (i) nor (ii)
B) Neither (ii) nor (iii)
C) Neither (i) nor (iii)
D) All the statements are correct.
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question_answer37) Consider the following two situations. Situation 1: Chance of getting '2' or '5' in a throw of die. Situation 2: Chance of getting '1' '3' or '5' in throw of die. Which situation has more chance to occur?
A) Only 1
B) Only 2
C) Neither 1 nor 2
D) Both the situations
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question_answer38) Consider the following statements Statement  A: When two events have an even chance of happening the two events are equally likely Statement  B: Probability of an event not occurring = Probability of an event occurring
A) Only statement A is correct
B) Only statement B is correct
C) Both statements are correct
D) Neither statement A nor statement B is correct.
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question_answer39) Which subject has the most students enrolled in it?
A) Math?s
B) English
C) EVS
D) History
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question_answer40) The enrolment in mathematics is approximately how many times larger than the enrolment in EVS
A) 3 times
B) 4 times
C) 2 times
D) 5 times
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question_answer41) Approximately how many more students are in mathematics than in English?
A) 100
B) 200
C) 300
D) 250
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question_answer42) In which month was the expenditure highest?
A) February
B) May
C) August
D) January
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question_answer43) What was the expenditure in September?
A) 1000
B) 2000
C) 2500
D) 3000
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question_answer44) When was the expenditure least?
A) May
B) January
C) September
D) August
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question_answer45) When was the expenditure Rs. 5000?
A) January
B) February
C) September
D) August
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question_answer46) The horizontal line in the graph is called
A) Xaxis
B) Yaxis
C) Line
D) None of these
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question_answer47) The vertical line in the graph is called
A) Yaxis
B) Xaxis
C) Ray
D) None of these
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question_answer48) Highest marks are scored in which subject?
A) English
B) Hindi
C) Math?s
D) None of these
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question_answer49) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: The mode of data 10, 12, 14, 10, 14, 20, 10, 25, 10 is 10. Reason: Mode is defined as the value of variable which occurs most of the time.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer50) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Probability of drawing a red face card from a pack of 52 playing cards is\[\frac{3}{26}\] Reason: Probability of not selecting a queen from a pack of 52 cards is \[\frac{1}{13}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer51) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Median of the data 25, 14, 7, 16, 21 is 16. Reason: In case, the set of values has even number of values, the median is the mean of two middle values.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer52) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Range of the given data 3, 4, 5, 7, 9, 11, 12, 25, 30, 45 is 42. Reason: The difference between the highest and the lowest values of the observations is called the range.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer53) The mean age of 20 students of a class is 10 years. If the age of their teacher is also included then the mean is increased by one year. The age of teacher is
A) 21 years
B) 41 years
C) 31 years
D) None of these
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question_answer54) The mean temperature of Monday, Tuesday and Wednesday is \[40{}^\circ C.\] The mean temperature of Tuesday, Wednesday and Thursday is \[41{}^\circ C.\] If the temperature of Thursday is \[30{}^\circ C,\] then the temperature on Monday is
A) \[27{}^\circ C\]
B) \[30{}^\circ C\]
C) \[25{}^\circ C\]
D) \[35{}^\circ C\]
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question_answer55) The median of first five consecutive even numbers a, b, c, d and e is
A) \[\left( a+b \right)\div 2\]
B) \[\left( b+d \right)\div 2\]
C) \[a\]
D) \[\left( a+b+c \right)\div 3\]
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question_answer56) If a, b, c are three consecutive odd numbers, then their mean is
A) b
B) d
C) e
D) c
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question_answer57) The mean of 5 observations is 15. If mean of the first three observations is 14 and that of the last three is 17 then the third observation is
A) 18
B) 17
C) 51
D) 75
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question_answer58) Mean of five numbers is 27. If one of the numbers is excluded, the mean becomes 25. The excluded number is
A) 25
B) 27
C) 135
D) 35
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question_answer59) The mean of 2, 7, 6 and 'a' is 5 and mean of 18, 1, 6, a and b is 10. The value of b is
A) 20
B) 5
C) 10
D) 30
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question_answer60) The mean, median and mode of four numbers is 8. The smallest number is 7. The numbers are
A) 7, 7, 8, 8
B) 7, 8, 8, 8
C) 7, 8, 8, 9
D) 8, 8, 8, 8
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question_answer61) Value of 'a' if the mean mark is 1 of the following data, is
A) 20
B) 10
C) 30
D) 5
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question_answer62) The mean of three numbers a, b and c is 8 and the mean of five number a, b, c, d and e is 15. The mean of 'd' and 'e' is
A) 25
B) 25.5
C) 75
D) 51
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question_answer63) A person with O, A, B or AB blood group can safely donate blood to a person with AB positive blood group. The event "a randomly chosen person could donate blood to a person with AB positive blood group" as
A) certain
B) likely
C) unlikely
D) impossible
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question_answer64) Which of the following graph helps to make comparisons between two related pieces of data at the same time?
A) Bar graph
B) Double bar graphs
C) Pictograph
D) Tally chart
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question_answer65) Which of the following is/are true? A data set may have more than one mode. (ii) Mean of a data set is the value which divides the values into two equal parts. (iii) The value of median changes if the values in a data set are arranged in ascending order instead of descending order.
A) only (i)
B) only (ii)
C) only (iii)
D) All of these
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question_answer66) Which of the following statement is/are true? Rolling the number 7 on a standard die is an impossible event. (ii) The probability of a certain event is 1. (iii) If your chances of being stuck in a traffic jam are\[\frac{1}{10,000},\]it is a likely event.
A) only (i) and (ii)
B) only (i) and (iii)
C) only (ii) and (iii)
D) None of these
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question_answer67) Which of the following statement is/are incorrect? The probability of drawing a red card from a pack of 52 playing cards is\[\frac{1}{2}\] (ii) All probabilities have a value between 0 and 1. (iii) A bag holds 4 green marbles, 3 red marbles and 5 blue marbles. The probability of pulling out a red marble is\[\frac{1}{3}.\]
A) only (i) and (ii)
B) only (iii)
C) only (ii) and (iii)
D) only (ii) and (iii)
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question_answer68) Which of the following outcome is pre likely? Someone in your class will be absent next week. (ii) You will become a doctor when you grow up. (iii) It will snow in Shimla in January.
A) only (i)
B) only (ii)
C) only (iii)
D) All three outcomes
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question_answer69) Which of the following outcome is/are unlikely? You will not get reservation in the train due to heavy Dusshera rush. (ii) Your friend will go to moon next month. (iii) There will be floods in Delhi during March next year.
A) only (i) and (ii)
B) only (ii) and (iii)
C) only (i) and (iii)
D) All three outcomes
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question_answer70) DIRECTIONS: Passage ? 1 Read the passages given below and answer the questions that follow. A group of students was given a math?s test. The test was completed by various students in the following time (in minutes): 18, 20, 21, 25. Mean time taken by the students to complete the test is
A) 5 minutes
B) 10 minutes
C) 20 minutes
D) 21 minutes
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question_answer71) DIRECTIONS: Passage ? 1 Read the passages given below and answer the questions that follow. A group of students was given a math?s test. The test was completed by various students in the following time (in minutes): 18, 20, 21, 25 Number of students who took more than mean time is
A) 3
B) 2
C) 1
D) 4
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question_answer72) DIRECTIONS: Passage ? 1 Read the passages given below and answer the questions that follow. A group of students was given a math?s test. The test was completed by various students in the following time (in minutes): 18, 20, 21, 25 If the student who took 25 minutes had taken only 18 minutes to complete the test then what would have been the mean time?
A) 18 minutes
B) 20 minutes
C) 17 minutes
D) 19.25 minutes
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question_answer73) DIRECTIONS: Passage ? 2 Read the passages given below and answer the questions that follow. If a set of data contains a few ''very high scores" or "very few scores", the mean does not satisfactorily represent the data. In such situations it is often more desirable to use the middle score, called the median, as the representative score. The median of a set of numbers is the middle number when all the numbers are arranged in order of size, i.e., in descending or ascending order. The median of the number 85, 86, 78, 89 and 64 is
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question_answer74) DIRECTIONS: Passage ? 2 Read the passages given below and answer the questions that follow. If a set of data contains a few ''very high scores" or "very few scores", the mean does not satisfactorily represent the data. In such situations it is often more desirable to use the middle score, called the median, as the representative score. The median of a set of numbers is the middle number when all the numbers are arranged in order of size, i.e., in descending or ascending order. The marks scored by 6 students are 5, 9, 8, 7, 2, 3. The median marks are
A) 6
B) 7
C) 6.5
D) 5
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question_answer75) DIRECTIONS: Passage ? 2 Read the passages given below and answer the questions that follow. If a set of data contains a few ''very high scores" or "very few scores", the mean does not satisfactorily represent the data. In such situations it is often more desirable to use the middle score, called the median, as the representative score. The median of a set of numbers is the middle number when all the numbers are arranged in order of size, i.e., in descending or ascending order. Median weekly salary of workers in a firm whose salaries are Rs. 84, Rs. 60 and Rs. 40, is
A) Rs. 84
B) Rs. 60
C) Rs. 40
D) Rs. 50
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question_answer76) The graph given below compares the heights and weights of various animals. The scale that is taken here is 1 unit =100 cm (or Kg) Look at the above graph carefully and say true or false. The range of the heights is around 300 cm.
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question_answer77) The graph given below compares the heights and weights of various animals. The scale that is taken here is 1 unit =100 cm (or Kg) Look at the above graph carefully and say true or false. The weight of the ostrich is 200 kg.
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question_answer78) The graph given below compares the heights and weights of various animals. The scale that is taken here is 1 unit =100 cm (or Kg) Look at the above graph carefully and say true or false. The ratio of the height to weight for a camel is 2:9.
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question_answer79) The graph given below compares the heights and weights of various animals. The scale that is taken here is 1 unit =100 cm (or Kg) Look at the above graph carefully and say true or false. The length and the weight of a dolphin are 250 cm and 300 kg respectively.
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question_answer80) The total number of students failing in the entrance exam from all the cities together, is
A) 175000
B) 168000
C) 165000
D) 217500
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question_answer81) The ratio of the number of students passing in the entrance exam for city B to those passing from city E, is
A) 5 : 7
B) 1 : 1
C) 5 : 4
D) 6 : 5
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question_answer82) The number of students passing in the examination from city A is approximately what percent of the total number of students passing in the examination from all cities together?
A) 15
B) 12
C) 18
D) 21
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question_answer83) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other label led as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: Median of the observations 14, 18, x + 2, x + 4 is 24. Then the value of x is 28. Reason: If the number of observation is even, then median \[=\frac{\left( \frac{n}{2} \right)\text{th}\,\text{observation}+{{\left( \frac{n}{2}+1 \right)}^{th}}\text{observation}}{2}\]
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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question_answer84) DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other label led as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: The king, queen and jack of hearts are removed from a deck of 52 playing cards and well shuffled. One card is selected from the remaining cards. The probability of drawing a '10' of hearts is \[\frac{1}{49}.\] Reason: Number of cards remaining after the king, queen and jack of hearts have been removed is 49.
A) If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C) If Assertion is correct but Reason is incorrect.
D) If Assertion is incorrect but Reason is correct.
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