## Tuesday, July 17, 2012

### Quantitative Aptitude Online Practice Test - 5

1. The expected value of the number of successes of a binomial distribution is equal to
[A]Zero
[B]The number of trials
[C]The probability of success in any trial
[D]The product of the number of trials and probability of success in any trial

2. In a binomial distribution the probability of getting zero or more number of successes is equal to
[A]0
[B]The probability of getting zero success
[C]The probability of getting successes in all the trials
[D]1

3. Which of the following statements is false with regard to a normal distribution?
[A]It is a discrete distribution
[B]It is unimodal
[C]It is a symmetrical distribution
[D]The mean, median and mode are equal

4. Which of the following statements is false with regard to sampling?
[A]It is useful when the population is too large to be studied in full
[B]It costs significantly less than a census
[C]It is not suitable in case of destructive testing
[D]It involves less work on statistical data processing than census

5. How will the standard error of mean be affected if the sample size is reduced?
[A]It will decrease
[B]It will remain unchanged
[C]It will increase
[D]It will change unpredictably

6. Which of the following is true with regard to the simplex method of solving linear programming problems?
[A]This method cannot be applied for solving problems involving two decision variables
[B]At the optimal solution all the decision variables assume zero values
[C]Slack variables are used to convert ‘greater than or equal to’ type constraints into equations
[D]The Zj – Cj value at the bottom of the solution column shows the value of the objective function for any solution

7. Which of the following statements is false?
[A]An unweighted aggregates price index does not attach any importance to the consumption or usage levels of the items covered
[B]Laspeyres price index is an unweighted aggregates price index
[C]Paasches price index is a weighted aggregates price index
[D]A price index reflects the overall change in price for the basket of goods considered

8. Which of the following statements is not true with regard to a value index?
[A]It measures changes in net monetary worth
[B]It combines price changes and quantity changes
[C]It is not as useful as price indices or quantity indices
[D]An increase in the value index indicates with certainty that the prices have increased

9. If the dependent variable decreases as the independent variable increases in an estimating equation then, the coefficient of correlation will be in the range of
[A]0 to –2.00
[B]0 to –1.00
[C]0 to 0.50
[D]0 to 0.25

10. Weighted average of relatives price index for various years can be readily compared if
[A]Base year values are used as weights
[B]Current year values are used as weights
[C]Base year prices are used as weights
[D]Current year prices are used as weights

11. Which of the following is correct?
[A]f(x) is a linear function and, f(2) = 7 and f(7) = 32. The slope of the function is –3
[B]g(x) is a linear function and, g(–5) = 40 and g(2) = –9. Hence g(0) = 7
[C]y is a linear function of x such that ((y/5)– (x/2))= 5. The intercept of the function on the Y axis is 25
[D]y is a linear function of x. If x = 2, then y = 20. If x = 5, then y = 44. Hence If x = 8, y = 60

12. The mean age of a group consisting of both men and women was found to be 54 years. The mean age of the men in the group was found to be 60 years while the mean age of the women in the group was found to be 48 years. Which of the following statements is/are correct?
I. The number of men in the group can be found out from the given data.
II. The number of women in the group can be found out from the given data.
III. The total number of men and women in the group can be found out from the given data.
IV. The percentage of men in the group is 50%.
V. The percentage of men in the group is 40%.
VI. The percentage of women in the group is 50%.
VII. The percentage of women in the group is 60%.
[A]Only (I)
[B]Only (II)
[C]Only (III)
[D]Both (IV) and (VI)

13. As study was conducted on the daily wages earned by the unskilled labourers in an industrial area. The observations from the survey are given below:
Daily wages (in Rs.) Number of labourers
30 – 40 15
40 – 50 25
50 – 60 32
60 – 70 28
70 – 80 18
80 – 90 12
The median daily wage (in Rs.) earned by the unskilled labourers is
[A]40.5
[B]50.25
[C]57.66
[D]65.56

14. There are three sets of data. The first set contains four quantities and their geometric mean is 1.30. The second set contains eight quantities and their geometric mean is 1.20. The third set contains five quantities and their geometric mean is 1.25. Each of the three sets of data is expanded by including one more quantity as follows:
The quantity 1.20 is included into the first set, the quantity 1.26 is included into the second set and the quantity 1.32 is included into the third set. What is the combined geometric mean of all the three sets of data after the expansion?
[A]1.1667
[B]1.2121
[C]1.2408
[D]1.1986

15. A small contractor undertakes various types of jobs in the construction business. From his past experience he believes that the probability that he will get a plumbing contract is 2/5 and the probability that he will not get a wiring contract is 1/4. He also believes that the probability that he will get at least one of the two types of contract is 17/20. The two types of contracts are independent of each other. What is the probability that he will get both types of contract?
[A]60%
[B]75%
[C]30%
[D]70%