Common Management Admission Test (CMAT) 2012: Sample Questions On QT & Data Interpretation

AICTE is conducting the first National level Common Management Admission Test (CMAT)-2012 for admission in all management programmes approved by AICTE. The test will be conducted online from 20 February 2012 to 28 February 2012 in 61 cities. Learn and judge yourself with jagranjosh.com Sample Questions for Quantitative Techniques & Data Interpretation to make your exam preparation strong and extensive.

DIRECTIONS/or questions 1 to 3.- Answer the following questions based on the information given below:

There are 100 employees in an organization across five departments. The following table gives the department-wise distribution of average age, average basic pay and allowances. The gross pay of an employee is the sum of his/her basic pay and allowances.

There are limited numbers of employees considered for transfer/promotion across departments. Whenever a person is transferred/ promoted from a department of/ower average age to a department of higher average age, he/she will get an additional allowance of 1 0% of basic pay over and above his/her current allowance. There will not be any change in pay structure if a person is transferred/promoted from a department with higher average age to a department with lower average age.

Questions below are independent of each other.

1. What is the approximate percentage change in the average gross pay of the HR department due to transfer ofa 40-year old person with basic pay ofRs. 8000 from the Marketing department?

(a) 9010

(b) 11%

(c) 13%

(d) 15%

(e) 17%

Ans: (c)

2. There was a mutual transfer of an employee between Marketing and Finance departments and transfer of one employee from Marketing to HR. As a result, the average age of Finance department increased by one year and that of Marketing department rema.aed the same. What is the new average age ofHR department?

(a) 30

(b) 35

(c) 40

(d) 45

(e) cannot be determined

Ans: (c)

3. If two employees (each with a basic pay ofRs. 6000) are transferred from Maintenance department to HR department and one person (with a basic pay ofRs. 8000) was transferred from Marketing department to HR department, what will be the percentage change in average basic pay of HR department?

(a) 10.5%

(b) 12.5%

(c) 15%

(d) 30%

(e) 40%

Ans: (b)

DIRECTIONS/or questions 4 to 8 : Answer the following questions based on the information given below:

Abdul, Bikram and Chetan are three professional traders who trade in shares of a company XYZ Ltd. Abdul follows the strategy of buying at the opening ofthe day at 10 am and selling the whole lot at the close of the day at 3 pm. Bikram follows the strategy of buying at hourly intervals: lOam, 11 am, 12 noon, 1 pm and 2 pm, and selling the whole lot at the close of the day. Further, he buys an equal number of shares in each purchase. Chetan follows a similar pattern as Bikram but his strategy is somewhat different. Chetan's total investment amount is divided equally among his purchases. The profit or loss made by each investor is the difference between the sale value at the close ofthe day less the investment in purchase. The "return" for each investor is defined as the ratio of the profit or loss to the investment amount expressed as a percentage.

4. Which one of the following statement is always true?

(a) Abdul will not be the one with the minimum return

(b) Return for Chetan will be higher than that ofBikram

(c) Return for Bikram will be higher than that ofChetan

(d) Return for Chetan cannot be higher that that of Abdul

(e) None of these

Ans: (e)

5. On a day of fluctuating market prices, the share price ofXYZ Ltd. ends with a gain, i.e., it is higher at the close of the day compared to the opening value. Which trader got the maximum return on that day?

(a) Bikram

(b) Chetan

(c) Abdul

(d) BikramorChetan

(e) cannot be determined

Ans: (e)

6. On a "boom" day the share price ofXYZ Ltd. keeps rising throughout the day and peaks at the close of the day. Which trader got the minimum return on that day?

(a) Bikram

(b) Chetan

(c) Abdul

(d) Abdul or Chetan

(e) cannot be determined

Ans: (a)

One day, two other traders, Dane and Emily joined Abdul, Bikram and Chetan for trading in the shares ofXYZ Ltd. Dane followed a strategy of buying equal numbers of shares at lOam, 11 am and 12 noon, and selling the same numbers at 1 pm,2 pm and 3 pm. Emily, on the other hand, followed the strategy of buying shares using all her money at 10 am and selling all of them at 12 noon and again buying the shares for all the money at 1 pm and again selling all of them at the close of the day at 3 pm. At the close of the day the following was observed:

(i) Abdul lost money in the transactions.

(ii) Both Dane and Emily made profits.

(iii) There was an increase in share price during the closing hour compared to the price at 2 pm.

(iv) Share price at 12 noon was lower than the opening price.

7. Share price was at its highest at

(a) 10 am

(b) 11 am

(c) 12 noon

(d) 1 pm

(e) cannot be determined

Ans: (a)

8. Which of the following is necessarily false?

(a) Share price was at its lowest at 2 pm

(b) Share price was at its lowest at 11 am

(c) Share price at 1 pm was higher than the share price at 2 pm

(d) Share price at 1 pm was higher than the share price at 12 noon

(e) none of the above

Ans: (a,d)

9. Consider the following statements:

When two straight lines intersect, then:

I- adjacent angles are complementary

II- adjacent angles are supplementary

III- opposite angles are equal

IV- opposite angles are supplementary Of these statements:

(a) (I) and (III) are correct

(b) (II) and (III) are correct

(c) (I) and (IV) are correct

(d) (II) and (IV) are correct

Ans: (b)

10. For constructing the working class consumer price index number of a particular town, the following

weights corresponding to different group of items were assigned: Food-55, Fuel-15, Clothing -10, Rent -8 and Miscellaneous-I 2. It is known that the rise in food prices is double that offuel and the rise in miscellaneous group prices is double that of rent. In October 2006, the increased D.A. by a factory of that town by 182% fully compensated for the rise in prices of food and rent but did not compensate for anything else. Another factory of the same locality increased D.A. by 46.5%, which compensated for the rise in fuel and miscellaneous groups.

Which is the correct combination of the rise in prices of food, fuel, rent and miscellaneous groups?

(a) 320.14,159.57,95.64,166.82

(b) 317.14,158.57,94.64,189.28

(c) 311.14,159.57,90.64, 198.28

(d) 321.14,162.57,84.46,175.38

Ans: (b)