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QA TEST 5

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Marks: 50

Q.   1

What percentage of candidates passed the exam from Institute T out of the total number of candidates enrolled from the same institute?

Q.   2

Which institute has the highest percentage of candidates passed to the candidates enrolled?

Q.   3

The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:

Q.   4

What is the percentage of candidates passed to the candidates enrolled for institutes Q and R together?

Q.   5

What is the ratio of candidates passed to the candidates enrolled from institute P?

Q.   6

A sum of Rs. 4.75 lakhs were invested in Company Q in 1999 for one year. How much more interest would have been earned if the sum was invested in company P?

Q.   7

If two different amounts in the ratio 8:9 are invested in company’s P and Q respectively in 2002, then the amounts received after one year as interests from company’s P and Q are respectively in the ratio?

Q.   8

In 2000, a part of Rs. 30 lakhs was invested in company P and the rest was invested in company Q for one year. The total interest received was Rs. 2.43 lakhs. What was the amount invested in company P?

Q.   9

An investor invested a sum of Rs. 12 lakhs in company P in 1998. The total amount received after one year was re-Invested in the same company for one more year. The total appreciation received by the investor on his investment was?

Q.   10

An investor invested Rs. 5 lakhs in company Q in 1996. After one year, the entire amount along with the interest was transferred as investment to Company P in 1997 for one year. What amount will be received from Company P, by the investor?

Q.   11

The total sales of all seven years in the maximum for the maximum for which battery?

Q.   12

What is the difference in the number of 35AH batteries sold in 1993 and 1997?

Q.   13

The percentage of 4AH batteries sold to the total number of batteries sold was maximum in the years?

Q.   14

In case of which battery there was a continuous decrease in sales from 1992 to 1997?

Q.   15

If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been?

Q.   16

If median – 20 and mean-22.5 in a moderately skewed distribution then compute approximate value of mode

Q.   17

A numerical value used as a summary measure for a sample, such as sample mean, is known as a

Q.   18

Since the population size is always larger than the sample size, then the sample statistic

Q.   19

The mean of a sample is

Q.   20

In a five number summary, which of the following is not used for data summarization?

Q.   21

Following are the daily wages in Rupees of a sample of 9 workers: 58, 62, 48, 53, 70, 52,

 

60, 84, 75. Compute the mean wage.

Q.   22

Find the AM for the following distribution:

class interval350-369370-389390-409410-429430-449450-469470-489
Frequency23385882653111
Q.   23

The mean salary for a group of 40 female workers is Rs. 5200 per month and that for a group of 60 male workers is Rs. 6800 per month. What is the combined mean salary?

Q.   24

The mean age of a combined group of men and women is 30 years. If the mean age of the group of men is 32 and that of women group is 27. Find out the percentage of men and women in the group.

Q.   25

There are 8 number cards with values 0 – 7. Each time a card is drawn at random and the card value is recorded. The frequency refers to the number of times a value is shown.

 

Card values

0

1

2

3

4

5

6

7

Frequency

8

12

7

10

12

13

12

10

Q.   26

Compute coefficient of variation from the following data:

Age :under 10under 20under 30under 40under 50under 60
No. of persons dying:101830456080
Q.   27

For a group of 60 boy5 students, the mean and SD of stats. Marks are 45 and 2 respectively. The same figures for a group of 40 girl students are 55 and 3 respectively. What is the SD of marks if the two groups are pooled together?

Q.   28

Prices of shares of a company were not as under from Monday through Saturday. Find out range and the coefficient of range.

DayMon.Tues.Wed.Thu.FriSat.
Price200210208160220250
Q.   29

Calculate range and the coefficient of range of the following series:

Marks10203040506070
No. of students1518253016109
Q.   30

A measure of relative dispersion is given by the:

Q.   31

The_____ is the easiest measure of dispersion to calculate.

 

SymbolSymbol NameMeaning / definitions
Var (X)variancevariance of random variable X
?2variancevariance of population values
std (X)standard deviationstandard deviation of random variable X
??standard deviationstandard deviation value of random variable X
Q.   32

Which of the following symbols represents the standard deviation of the population?

Q.   33

When should measures of location and dispersion be computed from grouped data rather than from individual data values?

Q.   34

Adding a constant to each value in a data set does not change the distance between values so the standard deviations remains …..

Q.   35

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Q.   36

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Q.   37

The average of a series of overlapping averages, each of which is based on a certain number of item within a series is known as:

Q.   38

The mean of 20 items of a data is 5 and if each item is multiplied by 3, then the new mean will be

Q.   39

If the range of a set of values is 65 and maximum value in the set is 83, then the minimum value in the set is

Q.   40

If total frequencies of three series are 50, 60 and 90 and their means are 12, 15, and 20 respectively, then the mean of their composite series is

Q.   41

A problem is given to three students whose chance of solving is are 𝟏÷𝟐, 𝟏÷𝟑 and 𝟏÷𝟒 respectively what is the probability that the problem will be solved?

Q.   42

Two cards are drawn at random from a pack of 52 cards what is the probability that either both are black or both are queen? 

Q.   43

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

Q.   44

Two dice are tossed. The probability that the total score is a prime number is:

Q.   45

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is ( 𝟏÷𝟕 ) and the probability of wife’s selection is ( 𝟏÷𝟓 ). What is the probability that only one of them is selected?

Q.   46

In a lottery, there are 10 prizes and 25 blanks; a lottery is drawn at random. What is the probability of getting a prize? 

Q.   47

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:

Q.   48

A bag contains 6 black and 8 white balls; one ball is drawn at random. What is the probability that the ball drawn is white?

Q.   49

In a class 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random. What is the probability that he, has offered English or Hindi?

Q.   50

From eighty cards numbered 1 to 80, two cards are selected randomly. The probability that both the cards have the numbers divisible by 4 is given by

 

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