C QT & D I

1. 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:

(I) and (III) are correct

(II) and (III) are correct

(I) and (IV) are correct

(II) and (IV) are correct

The correct answer is (II) and (III) are correct. When two straight lines intersect, adjacent angles are supplementary, meaning that the sum of their measures is 180 degrees. Additionally, opposite angles formed by the intersection of two straight lines are equal in measure.

Explanation

The correct answer is (II) and (III) are correct. When two straight lines intersect, adjacent angles are supplementary, meaning that the sum of their measures is 180 degrees. Additionally, opposite angles formed by the intersection of two straight lines are equal in measure.

2. 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?

320.14,159.57,95.64,166.82

317.14,158.57,94.64,189.28

311.14,159.57,90.64, 198.28

321.14,162.57,84.46,175.38

The correct combination of the rise in prices of food, fuel, rent, and miscellaneous groups is 317.14, 158.57, 94.64, 189.28. This can be determined by using the given weights assigned to each group and the information that the rise in food prices is double that of fuel, and the rise in miscellaneous group prices is double that of rent. The increase in D.A. fully compensates for the rise in prices of food and rent, but not for anything else. Therefore, by comparing the given options, the only combination that satisfies these conditions is 317.14, 158.57, 94.64, 189.28.

Explanation

The correct combination of the rise in prices of food, fuel, rent, and miscellaneous groups is 317.14, 158.57, 94.64, 189.28. This can be determined by using the given weights assigned to each group and the information that the rise in food prices is double that of fuel, and the rise in miscellaneous group prices is double that of rent. The increase in D.A. fully compensates for the rise in prices of food and rent, but not for anything else. Therefore, by comparing the given options, the only combination that satisfies these conditions is 317.14, 158.57, 94.64, 189.28.

3. 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.

Department	Number of Employees	Average Age (Years)	Average Basic Pay (Rs.)	Allowances (% of Basic Pay)
HR	5	45	5000	70
Marketing	30	35	6000	80
Finance	20	30	6500	60
Business Development	35	42	7500	75
Maintenance	10	35	5500	50

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. 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?

9010

11%

13%

15%

17%

The approximate percentage change in the average gross pay of the HR department due to the transfer of a 40-year-old person with a basic pay of Rs. 8000 from the Marketing department can be calculated as follows:

First, calculate the current average gross pay of the HR department by multiplying the average basic pay (Rs. 5000) by the number of employees (5) and adding the total allowances (70% of basic pay). This gives us a current average gross pay of Rs. 35,000 for the HR department.

Next, calculate the new average gross pay of the HR department after the transfer by adding the basic pay of the transferred employee (Rs. 8000) to the current average gross pay and adding the additional allowance of 10% of basic pay (Rs. 800). This gives us a new average gross pay of Rs. 43,800 for the HR department.

Finally, calculate the percentage change by subtracting the current average gross pay from the new average gross pay, dividing by the current average gross pay, and multiplying by 100. This gives us a percentage change of approximately 25%.

Therefore, the correct answer is not available.

Explanation

The approximate percentage change in the average gross pay of the HR department due to the transfer of a 40-year-old person with a basic pay of Rs. 8000 from the Marketing department can be calculated as follows:

First, calculate the current average gross pay of the HR department by multiplying the average basic pay (Rs. 5000) by the number of employees (5) and adding the total allowances (70% of basic pay). This gives us a current average gross pay of Rs. 35,000 for the HR department.

Next, calculate the new average gross pay of the HR department after the transfer by adding the basic pay of the transferred employee (Rs. 8000) to the current average gross pay and adding the additional allowance of 10% of basic pay (Rs. 800). This gives us a new average gross pay of Rs. 43,800 for the HR department.

Finally, calculate the percentage change by subtracting the current average gross pay from the new average gross pay, dividing by the current average gross pay, and multiplying by 100. This gives us a percentage change of approximately 25%.

Therefore, the correct answer is not available.

4. 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?

30

35

40

45

Cannot be determined

Since the average age of the Marketing department remained the same, it means that the employee who transferred from Marketing to HR has the same age as the average age of the Marketing department. As a result, the average age of the HR department is also the same as the average age of the Marketing department, which is 40.

Explanation

Since the average age of the Marketing department remained the same, it means that the employee who transferred from Marketing to HR has the same age as the average age of the Marketing department. As a result, the average age of the HR department is also the same as the average age of the Marketing department, which is 40.

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

10.5%

12.5%

15%

30%

40%

The percentage change in average basic pay of the HR department can be calculated by finding the difference between the initial average basic pay and the final average basic pay, dividing it by the initial average basic pay, and then multiplying by 100. In this case, the initial average basic pay of the HR department is (2 * 6000 + 8000) / 3 = 6666.67. After the transfers, the final average basic pay of the HR department is (3 * 6000) / 3 = 6000. The difference is 6666.67 - 6000 = 666.67. Dividing this by the initial average basic pay and multiplying by 100 gives us (666.67 / 6666.67) * 100 = 10%. Therefore, the percentage change in average basic pay of the HR department is 10%, which is not one of the given answer choices. Since none of the answer choices match the correct calculation, the given answer of 12.5% is incorrect.

Explanation

The percentage change in average basic pay of the HR department can be calculated by finding the difference between the initial average basic pay and the final average basic pay, dividing it by the initial average basic pay, and then multiplying by 100. In this case, the initial average basic pay of the HR department is (2 * 6000 + 8000) / 3 = 6666.67. After the transfers, the final average basic pay of the HR department is (3 * 6000) / 3 = 6000. The difference is 6666.67 - 6000 = 666.67. Dividing this by the initial average basic pay and multiplying by 100 gives us (666.67 / 6666.67) * 100 = 10%. Therefore, the percentage change in average basic pay of the HR department is 10%, which is not one of the given answer choices. Since none of the answer choices match the correct calculation, the given answer of 12.5% is incorrect.

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?

Bikram

Chetan

Abdul

Abdul or Chetan

Cannot be determined

Bikram got the minimum return on that day because the share price kept rising throughout the day and peaked at the close. This implies that anyone who bought the shares earlier in the day would have seen their investment increase in value by the time the market closed. Since Bikram got the minimum return, it suggests that he either did not invest in XYZ Ltd. on that day or his investment did not increase significantly compared to the other traders.

Explanation

Bikram got the minimum return on that day because the share price kept rising throughout the day and peaked at the close. This implies that anyone who bought the shares earlier in the day would have seen their investment increase in value by the time the market closed. Since Bikram got the minimum return, it suggests that he either did not invest in XYZ Ltd. on that day or his investment did not increase significantly compared to the other traders.

7. One day, two other traders, Dane and Emily joined Abdul, Bikram and Chetan for trading in the shares of XYZ 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. Share price was at its highest at

10 am

11 am

12 noon

1 pm

Cannot be determined

The share price was at its highest at 10 am because Emily followed a strategy of buying shares using all her money at 10 am. This implies that there was a high demand for shares at that time, which would have driven up the share price. Additionally, the fact that both Dane and Emily made profits suggests that the share price was favorable during the time they were buying shares, further supporting the idea that the share price was highest at 10 am.

Explanation

The share price was at its highest at 10 am because Emily followed a strategy of buying shares using all her money at 10 am. This implies that there was a high demand for shares at that time, which would have driven up the share price. Additionally, the fact that both Dane and Emily made profits suggests that the share price was favorable during the time they were buying shares, further supporting the idea that the share price was highest at 10 am.

8. Which of the following is necessarily false?

Share price was at its lowest at 2 pm

Share price was at its lowest at 11 am

Share price at 1 pm was higher than the share price at 2 pm

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

None of the above

not-available-via-ai

Explanation

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9. 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?

Bikram

Chetan

Abdul

BikramorChetan

Cannot be determined

not-available-via-ai

Explanation

not-available-via-ai

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

Abdul will not be the one with the minimum return

Return for Chetan will be higher than that of Bikram

Return for Bikram will be higher than that ofChetan

Return for Chetan cannot be higher that that of Abdul

None of these

not-available-via-ai

Explanation

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C Qt & D I