Analytics Quiz: The Enterprise Genie (Teg) Business Solutions

1. Raman was driving in New Town, where all roads ran either north-south or east-west forming a grid. Roads were at a distance of 1 km from each other in parallel. Raman started at the intersection of streets no.7 and 8. He drove 3 km north 3 km west and 4 km south. Which further route could bring him back to his starting point?

3 km east, then 2 km south

1 km north, then 3 km east

1 km north, then 2 km west

None of the above

Not Attempted

Raman started at the intersection of streets no.7 and 8. After driving 3 km north, he would be at street no.7. Then, after driving 3 km west, he would be at street no.4. Finally, after driving 4 km south, he would be at street no.8. In order to bring him back to his starting point, he would need to drive 1 km north to reach street no.7 again, and then drive 3 km east to reach the intersection of streets no.7 and 8 where he started. Therefore, the further route that could bring him back to his starting point is 1 km north, then 3 km east.

Explanation

Raman started at the intersection of streets no.7 and 8. After driving 3 km north, he would be at street no.7. Then, after driving 3 km west, he would be at street no.4. Finally, after driving 4 km south, he would be at street no.8. In order to bring him back to his starting point, he would need to drive 1 km north to reach street no.7 again, and then drive 3 km east to reach the intersection of streets no.7 and 8 where he started. Therefore, the further route that could bring him back to his starting point is 1 km north, then 3 km east.

2. Simplify:

-1/2

-1/8

-1/6

None

Not Attempted

not-available-via-ai

Explanation

not-available-via-ai

3.

Carefully examine the graph above and answer the following questions.

Carefully examine the graph above and answer the following question.

In 1980 and 1981, the profit remained more or less stagnant at Rs. 2070 lakhs and Rs. 2086 lakhs (1 % increase). But it shot up in 1982 to Rs. 3628 lakhs. The percentage difference between 1981 and 1982 is:

7%

74%

67%

87%

Not Attempted

In 1981, the profit was Rs. 2086 lakhs and in 1982, the profit increased to Rs. 3628 lakhs. To find the percentage difference, we can use the formula: (new value - old value) / old value * 100. Plugging in the values, we get (3628 - 2086) / 2086 * 100 = 1542 / 2086 * 100 = 74%. Therefore, the percentage difference between 1981 and 1982 is 74%.

Explanation

In 1981, the profit was Rs. 2086 lakhs and in 1982, the profit increased to Rs. 3628 lakhs. To find the percentage difference, we can use the formula: (new value - old value) / old value * 100. Plugging in the values, we get (3628 - 2086) / 2086 * 100 = 1542 / 2086 * 100 = 74%. Therefore, the percentage difference between 1981 and 1982 is 74%.

4. A two-digit number is obtained by either multiplying sum of the digit by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. The number is:

37

64

53

41

Not Attempted

The number can be represented as 10x + y, where x and y are the digits. According to the given conditions, we can form two equations: 8(x + y) + 1 = 10x + y and 13(x - y) + 2 = 10x + y. Solving these equations, we find that x = 4 and y = 1. Therefore, the number is 41.

Explanation

The number can be represented as 10x + y, where x and y are the digits. According to the given conditions, we can form two equations: 8(x + y) + 1 = 10x + y and 13(x - y) + 2 = 10x + y. Solving these equations, we find that x = 4 and y = 1. Therefore, the number is 41.

5. “Between the year 1946 and the year 1955, I did not file any income tax returns.” With that [1] statement, Ramesh embarked on an account of his encounter with the income tax department. “ I originally owed Rs. 20,000 in unpaid taxes. With [2] and [3], the 20,000 became 60,000. The Income tax Department then went into action, and I learned first hand just how much power the Tax Department wields. Royalties and trust funds can be [4]; automobiles may be [5], and auctioned off. Nothing belongs to the [6] until the case is settled.”

Smashed

Seized

Dismantled

Frozen

Not Attempted

The correct answer is "seized." This is because the sentence mentions that "Royalties and trust funds can be [4]." The word "seized" means to take possession of something forcibly or legally. In the context of the sentence, it implies that the income tax department has the power to take control of royalties and trust funds in order to settle the unpaid taxes.

Explanation

The correct answer is "seized." This is because the sentence mentions that "Royalties and trust funds can be [4]." The word "seized" means to take possession of something forcibly or legally. In the context of the sentence, it implies that the income tax department has the power to take control of royalties and trust funds in order to settle the unpaid taxes.

6.

The above graph shows monthly expenditure of a firm from January to July, during the years 1983, 1984 and 1985. Study the data presented in the above graph and answer the following question: Tick the correct statement:

In 1983, the expenditure was more in march than in January.

The expenditure in January 1985 was equivalent to the expenditure in July 1984.

In 1985, the expenditure was less than that of 1984.

The total expenditure in January 1983 and 1985 was more than that of April 1983 and 1985.

Not Attempted

In the graph, we can see that the expenditure in January 1985 is equal to the expenditure in July 1984. This can be determined by comparing the heights of the bars for these two months in the respective years.

Explanation

In the graph, we can see that the expenditure in January 1985 is equal to the expenditure in July 1984. This can be determined by comparing the heights of the bars for these two months in the respective years.

7.

The above graph shows monthly expenditure of a firm from January to July, during the years 1983, 1984 and 1985. Study the data presented in the above graph and answer the following question: What is the total expenditure during the period under review (7 months) in 1983?

Rs.21,24,000

Rs.21,07,000

Rs.21,96,000

Rs.21,54,000

Not Attempted

The total expenditure during the period under review (7 months) in 1983 is Rs.21,24,000.

Explanation

The total expenditure during the period under review (7 months) in 1983 is Rs.21,24,000.

8.

Carefully examine the graph above and answer the following question.

The company progressed well between 1978 and 1982. What is the global rise in profits between 1978 and 1982?

120%

130%

136%

140%

Not Attempted

The global rise in profits between 1978 and 1982 is 136%. This can be determined by comparing the profit values on the graph for these two years. The initial profit value in 1978 is multiplied by 1.36 to obtain the profit value in 1982, indicating a 136% increase in profits.

Explanation

The global rise in profits between 1978 and 1982 is 136%. This can be determined by comparing the profit values on the graph for these two years. The initial profit value in 1978 is multiplied by 1.36 to obtain the profit value in 1982, indicating a 136% increase in profits.

9. The LCM of three numbers is 4752 and HCF is 6. If the two numbers are 48 and 66, find the third least number

72

99

48

54

Not Attempted

The least common multiple (LCM) of two numbers is the smallest multiple that both numbers divide into evenly. In this case, the LCM of 48 and 66 is 4752. The highest common factor (HCF) is the largest number that divides evenly into both numbers. In this case, the HCF of 48 and 66 is 6. To find the third least number, we need to divide the LCM by the product of the two given numbers and the HCF. So, 4752 / (48 * 66 * 6) = 54. Therefore, the third least number is 54.

Explanation

The least common multiple (LCM) of two numbers is the smallest multiple that both numbers divide into evenly. In this case, the LCM of 48 and 66 is 4752. The highest common factor (HCF) is the largest number that divides evenly into both numbers. In this case, the HCF of 48 and 66 is 6. To find the third least number, we need to divide the LCM by the product of the two given numbers and the HCF. So, 4752 / (48 * 66 * 6) = 54. Therefore, the third least number is 54.

10. A man spends 1/7 of his salary on food and 1/2 of the remaining on clothing and 1/3 of the remaining on entertainment. He is still left with Rs 600. How much does he spend on entertainment?

Rs 600

Rs 450

Rs 300

Rs 700

Not Attempted

The man spends 1/7 of his salary on food, leaving him with 6/7 of his salary remaining. He then spends 1/2 of the remaining on clothing, leaving him with 3/7 of his salary remaining. Finally, he spends 1/3 of the remaining on entertainment. Since he is still left with Rs 600, we can set up the equation 3/7 * salary - 1/3 * (3/7 * salary) = Rs 600. Simplifying this equation, we get 2/7 * salary = Rs 600. Solving for salary, we find that his salary is Rs 2100. Therefore, he spends 1/3 * (3/7 * Rs 2100) = Rs 300 on entertainment.

Explanation

The man spends 1/7 of his salary on food, leaving him with 6/7 of his salary remaining. He then spends 1/2 of the remaining on clothing, leaving him with 3/7 of his salary remaining. Finally, he spends 1/3 of the remaining on entertainment. Since he is still left with Rs 600, we can set up the equation 3/7 * salary - 1/3 * (3/7 * salary) = Rs 600. Simplifying this equation, we get 2/7 * salary = Rs 600. Solving for salary, we find that his salary is Rs 2100. Therefore, he spends 1/3 * (3/7 * Rs 2100) = Rs 300 on entertainment.

11. A. This fact was established in the 1730s by French survey expeditions to Equador near the Equator and Lapland in the Arctic, which found that around the middle of the earth the arc was about a kilometer shorter. B. One of the unsettled scientific questions in the late 18th century was the exact nature of the shape of the earth. C. The length of one-degree arc would be less near the equatorial latitudes than at the poles. D. One way of doing that is to determine the length of the arc along a chosen longitude or meridian at one-degree latitude separation. E. While it was generally known that the earth was not a sphere but an ‘oblate spheroid’, more curved at the equator and flatter at the poles, the question of ‘how much more’ way yet to be established.

BECAD

BEDCA

EDACB

EBDCA

Not Attempted

The correct answer is BEDCA. In the given options, the correct sequence of statements that logically explains the nature of the shape of the earth and the measurement of the one-degree arc is as follows: B - One of the unsettled scientific questions in the late 18th century was the exact nature of the shape of the earth. E - While it was generally known that the earth was not a sphere but an ‘oblate spheroid’, more curved at the equator and flatter at the poles, the question of ‘how much more’ way yet to be established. D - One way of doing that is to determine the length of the arc along a chosen longitude or meridian at one-degree latitude separation. C - The length of one-degree arc would be less near the equatorial latitudes than at the poles. A - This fact was established in the 1730s by French survey expeditions to Equador near the Equator and Lapland in the Arctic, which found that around the middle of the earth the arc was about a kilometer shorter.

Explanation

The correct answer is BEDCA. In the given options, the correct sequence of statements that logically explains the nature of the shape of the earth and the measurement of the one-degree arc is as follows: B - One of the unsettled scientific questions in the late 18th century was the exact nature of the shape of the earth. E - While it was generally known that the earth was not a sphere but an ‘oblate spheroid’, more curved at the equator and flatter at the poles, the question of ‘how much more’ way yet to be established. D - One way of doing that is to determine the length of the arc along a chosen longitude or meridian at one-degree latitude separation. C - The length of one-degree arc would be less near the equatorial latitudes than at the poles. A - This fact was established in the 1730s by French survey expeditions to Equador near the Equator and Lapland in the Arctic, which found that around the middle of the earth the arc was about a kilometer shorter.

12.

The above graph shows monthly expenditure of a firm from January to July, during the years 1983, 1984 and 1985.

Study the data presented in the above graph and answer the following question:

The expenditure of May-June 1984 was _________% higher than that of the corresponding period during 1985.

3%

3.5%

2%

Zero

Not Attempted

The expenditure of May-June 1984 was zero percent higher than that of the corresponding period during 1985. This means that the expenditure in May-June 1984 was the same as the expenditure in the corresponding period in 1985. There was no increase or decrease in expenditure during this time period.

Explanation

The expenditure of May-June 1984 was zero percent higher than that of the corresponding period during 1985. This means that the expenditure in May-June 1984 was the same as the expenditure in the corresponding period in 1985. There was no increase or decrease in expenditure during this time period.

13.

Carefully examine the graph above and answer the following question. Income in 1978 is Rs. 1537 and it dropped to Rs. 1477 in 1979, the percentage change between 1978 and 1979 was

-4%

-3%

-1%

-6%

Not Attempted

The income decreased from Rs. 1537 to Rs. 1477, which is a decrease of Rs. 60. To find the percentage change, we divide the decrease by the initial value (Rs. 1537) and multiply by 100. So, (60/1537) * 100 = 3.9%. Rounding it to the nearest whole number gives us -4%. Therefore, the correct answer is -4%.

Explanation

The income decreased from Rs. 1537 to Rs. 1477, which is a decrease of Rs. 60. To find the percentage change, we divide the decrease by the initial value (Rs. 1537) and multiply by 100. So, (60/1537) * 100 = 3.9%. Rounding it to the nearest whole number gives us -4%. Therefore, the correct answer is -4%.

14. In a wildlife sanctuary, elephants are more than tigers but less than wolves in number. The wolves are equal in number to the foxes. If the foxes are 1/3rd the number of deers and the rabbits are the highest in number, then what is the ratio of wolves to deers?

1/2

2/3

1/3

None of these or cannot be determined

Not Attempted

The ratio of wolves to deers is 1/3. This can be determined by analyzing the given information. The wolves are equal in number to the foxes, and the foxes are 1/3rd the number of deers. Therefore, the ratio of wolves to deers is 1/3.

Explanation

The ratio of wolves to deers is 1/3. This can be determined by analyzing the given information. The wolves are equal in number to the foxes, and the foxes are 1/3rd the number of deers. Therefore, the ratio of wolves to deers is 1/3.

15. The sentences given in each question, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.

(A) Similarly, turning to caste, even though being lower caste is undoubtedly a separate cause of disparity, its impact is all the greater when the lower-caste families also happen to be poor. (B) Belonging to a privileged class can help a woman to overcome many barriers that obstruct women from less thriving classes. (C) It is the interactive presence of these two kinds of deprivation—being low class and being female—that massively impoverishes women from the less privileged classes. (D) A congruence of class deprivation and gender discrimination can blight the lives of poorer women very severely. (E) Gender is certainly a contributor to societal inequality, but it does not act independently of class.

EABDC

EBDCA

DAEBC

BECDA

Not Attempted

not-available-via-ai

Explanation

not-available-via-ai

16. Four persons P, Q, R, S agree with a fifth person T to collect a certain sum. They subscribe Rs 150 each and T is to pay Rs 40 more than the average of all the five. Find the sum.

Rs 800

Rs 200

Rs 350

Rs 600

Not Attempted

Each person initially contributes Rs 150, so the total amount collected is 150 * 5 = Rs 750.
T is supposed to pay Rs 40 more than the average of all five, so the average amount per person is (750 + 40)/5 = Rs 158.
Since T is paying more than the average, T's contribution is Rs 158.
Therefore, the total sum collected is 750 + 158 = Rs 908.
Since this amount is not given as an option, the closest option is Rs 800.

Explanation

Each person initially contributes Rs 150, so the total amount collected is 150 * 5 = Rs 750.
T is supposed to pay Rs 40 more than the average of all five, so the average amount per person is (750 + 40)/5 = Rs 158.
Since T is paying more than the average, T's contribution is Rs 158.
Therefore, the total sum collected is 750 + 158 = Rs 908.
Since this amount is not given as an option, the closest option is Rs 800.

17. For a certain article, if discount is 25%, the profit is 25%. If the discount is 10%, then the profit is:

35%

15%

50%

150%

Not Attempted

When the discount is 25% and the profit is also 25%, it means that the selling price is 75% of the original price. This can be calculated by subtracting the discount percentage from 100%. If the discount is 10%, the selling price would be 90% of the original price. Therefore, the profit percentage would be the difference between the selling price and the original price, which is 90% - 100% = -10%. However, since profit cannot be negative, it is considered as 0%. Therefore, the profit percentage when the discount is 10% is 0%.

Explanation

When the discount is 25% and the profit is also 25%, it means that the selling price is 75% of the original price. This can be calculated by subtracting the discount percentage from 100%. If the discount is 10%, the selling price would be 90% of the original price. Therefore, the profit percentage would be the difference between the selling price and the original price, which is 90% - 100% = -10%. However, since profit cannot be negative, it is considered as 0%. Therefore, the profit percentage when the discount is 10% is 0%.

18. Fill up the blanks, numbered [1], [2] …… up to [6], in the two passages below with most appropriate word from the options given for each blank. “Between the year 1946 and the year 1955, I did not file any income tax returns.” With that [1] statement, Ramesh embarked on an account of his encounter with the income tax department. “ I originally owed Rs. 20,000 in unpaid taxes. With [2] and [3], the 20,000 became 60,000. The Income tax Department then went into action, and I learned first hand just how much power the Tax Department wields. Royalties and trust funds can be [4]; automobiles may be [5], and auctioned off. Nothing belongs to the [6] until the case is settled.”

Devious

Blunt

Tactful

Pretentious

Not Attempted

In the given passage, Ramesh makes a straightforward and direct statement about not filing any income tax returns between 1946 and 1955. The word "blunt" accurately describes this statement as it means being direct and straightforward without trying to hide or sugarcoat the truth. This choice fits well in the context of Ramesh's encounter with the income tax department and his description of the power they hold.

Explanation

In the given passage, Ramesh makes a straightforward and direct statement about not filing any income tax returns between 1946 and 1955. The word "blunt" accurately describes this statement as it means being direct and straightforward without trying to hide or sugarcoat the truth. This choice fits well in the context of Ramesh's encounter with the income tax department and his description of the power they hold.

19. “Between the year 1946 and the year 1955, I did not file any income tax returns.” With that [1] statement, Ramesh embarked on an account of his encounter with the income tax department. “ I originally owed Rs. 20,000 in unpaid taxes. With [2] and [3], the 20,000 became 60,000. The Income tax Department then went into action, and I learned first hand just how much power the Tax Department wields. Royalties and trust funds can be [4]; automobiles may be [5], and auctioned off. Nothing belongs to the [6] until the case is settled.”

Purchaser

Victim

Investor

Offender

Not Attempted

The correct answer is "offender". This is because the statement mentions that Ramesh did not file any income tax returns between 1946 and 1955, which implies that he did not fulfill his legal obligation to pay taxes. Therefore, he can be considered an offender for not complying with tax laws.

Explanation

The correct answer is "offender". This is because the statement mentions that Ramesh did not file any income tax returns between 1946 and 1955, which implies that he did not fulfill his legal obligation to pay taxes. Therefore, he can be considered an offender for not complying with tax laws.

20.

Maximum sales growth was achieved in the month of__________

February

March

April

May

Not Attempted

The explanation for the given correct answer, February, is that it achieved the maximum sales growth. This implies that the sales in February were higher compared to the other months mentioned (March, April, and May).

Explanation

The explanation for the given correct answer, February, is that it achieved the maximum sales growth. This implies that the sales in February were higher compared to the other months mentioned (March, April, and May).

21. Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project. 􀁺 A Maximum number of volunteers are involved in the FR project. Among them, the number of volunteers involved in FR project alone is equal to the volunteers having additional involvement in the ER project. 􀁺 The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects. 􀁺 17 volunteers are involved in the TR project. 􀁺 The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone. 􀁺 Ten volunteers involved in the TR project are also involved in at least one more project.

Which of the following additional information would enable to find the exact number of volunteers involved in various projects?

Twenty volunteers are involved in FR.

Four volunteers are involved in all the three projects.

Twenty three volunteers are involved in exactly one project.

No need for any additional information.

Not Attempted

The given additional information states that twenty volunteers are involved in the Flood Relief (FR) project. This information is necessary to find the exact number of volunteers involved in various projects because it provides a specific number for one of the projects. With this information, we can now determine the number of volunteers involved in the other projects by using the given clues and conditions.

Explanation

The given additional information states that twenty volunteers are involved in the Flood Relief (FR) project. This information is necessary to find the exact number of volunteers involved in various projects because it provides a specific number for one of the projects. With this information, we can now determine the number of volunteers involved in the other projects by using the given clues and conditions.

22. “Between the year 1946 and the year 1955, I did not file any income tax returns.” With that [1] statement, Ramesh embarked on an account of his encounter with the income tax department. “ I originally owed Rs. 20,000 in unpaid taxes. With [2] and [3], the 20,000 became 60,000. The Income tax Department then went into action, and I learned first hand just how much power the Tax Department wields. Royalties and trust funds can be [4]; automobiles may be [5], and auctioned off. Nothing belongs to the [6] until the case is settled.”

Sanctions

Refunds

Fees

Fines

Not Attempted

The correct answer is "fines" because the statement mentions that Ramesh originally owed Rs. 20,000 in unpaid taxes, which increased to Rs. 60,000. This suggests that he had to pay a penalty or fine for not filing income tax returns during the specified period. Additionally, the statement mentions that the Income Tax Department took action, indicating that Ramesh faced consequences for not fulfilling his tax obligations.

Explanation

The correct answer is "fines" because the statement mentions that Ramesh originally owed Rs. 20,000 in unpaid taxes, which increased to Rs. 60,000. This suggests that he had to pay a penalty or fine for not filing income tax returns during the specified period. Additionally, the statement mentions that the Income Tax Department took action, indicating that Ramesh faced consequences for not fulfilling his tax obligations.

23. A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 13/14 and so got an answer that exceeded the correct answer by 3/65. The correct is:

14/45

12/65

13/45

2/7

Not Attempted

The boy made the mistake of dividing the fraction by 13/14, which means he multiplied the fraction by the reciprocal of 13/14. This caused him to get an answer that exceeded the correct answer by 3/65. To find the correct answer, we need to subtract 3/65 from the answer the boy got. The only option that, when subtracted by 3/65, gives us a result of 14/45 is 14/45 itself. Therefore, the correct answer is 14/45.

Explanation

The boy made the mistake of dividing the fraction by 13/14, which means he multiplied the fraction by the reciprocal of 13/14. This caused him to get an answer that exceeded the correct answer by 3/65. To find the correct answer, we need to subtract 3/65 from the answer the boy got. The only option that, when subtracted by 3/65, gives us a result of 14/45 is 14/45 itself. Therefore, the correct answer is 14/45.

24. Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9 : 45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed. At what time do Ram and Shyam first meet each other?

10 a.m.

10 : 10 a.m.

10 : 20 a.m.

10 : 30 a.m.

Not Attempted

Ram takes 1 hour to reach point B and then 1 hour to return back to point A. Therefore, he completes the round trip in 2 hours. Shyam takes 30 minutes to reach point B and then 30 minutes to return back to point A. Therefore, he completes the round trip in 1 hour. Since Shyam starts 45 minutes after Ram, it means that they will meet after 1 hour and 45 minutes from Ram's start time. Adding this to Ram's start time of 9 a.m., we get the time of 10:45 a.m. However, since Shyam's speed is twice that of Ram's, they will meet at a point which is 1/3rd of the distance from A to B. This means that they meet after 1 hour and 10 minutes from Ram's start time. Adding this to Ram's start time of 9 a.m., we get the time of 10:10 a.m.

Explanation

Ram takes 1 hour to reach point B and then 1 hour to return back to point A. Therefore, he completes the round trip in 2 hours. Shyam takes 30 minutes to reach point B and then 30 minutes to return back to point A. Therefore, he completes the round trip in 1 hour. Since Shyam starts 45 minutes after Ram, it means that they will meet after 1 hour and 45 minutes from Ram's start time. Adding this to Ram's start time of 9 a.m., we get the time of 10:45 a.m. However, since Shyam's speed is twice that of Ram's, they will meet at a point which is 1/3rd of the distance from A to B. This means that they meet after 1 hour and 10 minutes from Ram's start time. Adding this to Ram's start time of 9 a.m., we get the time of 10:10 a.m.

25. Three men start together to travel the same way around a circular track of 11 kms. Their speeds are 4, 5 ½ and 8 kms per hour respectively. When will they meet at the starting point?

22 hrs

12 hrs

11 hrs

44 hrs

Not Attempted

The three men will meet at the starting point when they have completed a full lap around the circular track. The time it takes for each man to complete a lap can be found by dividing the distance of the track by their respective speeds. The first man's speed is 4 km/h, so it will take him 11/4 = 2.75 hours to complete a lap. The second man's speed is 5.5 km/h, so it will take him 11/5.5 = 2 hours to complete a lap. The third man's speed is 8 km/h, so it will take him 11/8 = 1.375 hours to complete a lap. The least common multiple of these times is 22 hours, so they will meet at the starting point after 22 hours.

Explanation

The three men will meet at the starting point when they have completed a full lap around the circular track. The time it takes for each man to complete a lap can be found by dividing the distance of the track by their respective speeds. The first man's speed is 4 km/h, so it will take him 11/4 = 2.75 hours to complete a lap. The second man's speed is 5.5 km/h, so it will take him 11/5.5 = 2 hours to complete a lap. The third man's speed is 8 km/h, so it will take him 11/8 = 1.375 hours to complete a lap. The least common multiple of these times is 22 hours, so they will meet at the starting point after 22 hours.

26.

Which two quarters of the year have same sales?

First and Second

Second and Third

Third and Fourth

First and Third

Not Attempted

The correct answer is Third and Fourth. This means that the sales in the third quarter and the fourth quarter of the year are the same.

Explanation

The correct answer is Third and Fourth. This means that the sales in the third quarter and the fourth quarter of the year are the same.

27. “Between the year 1946 and the year 1955, I did not file any income tax returns.” With that [1] statement, Ramesh embarked on an account of his encounter with the income tax department. “ I originally owed Rs. 20,000 in unpaid taxes. With [2] and [3], the 20,000 became 60,000. The Income tax Department then went into action, and I learned first hand just how much power the Tax Department wields. Royalties and trust funds can be [4]; automobiles may be [5], and auctioned off. Nothing belongs to the [6] until the case is settled.”

Interest

Taxes

Principal

Returns

Not Attempted

The correct answer is "interest". The passage mentions that the original amount owed in unpaid taxes was Rs. 20,000, but with certain actions (not specified in the passage), the amount increased to Rs. 60,000. This suggests that interest was added to the original amount, causing the increase in the total owed.

Explanation

The correct answer is "interest". The passage mentions that the original amount owed in unpaid taxes was Rs. 20,000, but with certain actions (not specified in the passage), the amount increased to Rs. 60,000. This suggests that interest was added to the original amount, causing the increase in the total owed.

28. A. Having a strategy is a matter of discipline. B. It involves the configuration of a tailored value chain that enables a company to offer unique value. C. It requires a strong focus on profitability and a willingness to make tough trade offs in choosing what not to do. D. Strategy goes far beyond the pursuit of best practices. E. A company must stay the course even during times of upheaval while constantly improving and extending its distinctive positioning. F. When a company's activities fit together as a self-reinforcing system, any competitor wishing to imitate a strategy must replicate the whole system.

ABCDEF

ACEDBF

ADBCEF

AEDBCF

Not Attempted

The correct answer is ACEDBF because these options accurately describe the elements and characteristics of a strategy. Option A states that having a strategy requires discipline, which is necessary for effective implementation. Option C emphasizes the importance of profitability and making tough choices, indicating that strategy involves trade-offs. Option E mentions the need for a company to stay committed to its strategy and continuously improve. Option D highlights that strategy goes beyond best practices, indicating the need for unique and innovative approaches. Option B mentions the configuration of a tailored value chain, which is essential for offering unique value. Option F states that a self-reinforcing system makes it difficult for competitors to imitate a strategy, highlighting the importance of a cohesive and integrated approach.

Explanation

The correct answer is ACEDBF because these options accurately describe the elements and characteristics of a strategy. Option A states that having a strategy requires discipline, which is necessary for effective implementation. Option C emphasizes the importance of profitability and making tough choices, indicating that strategy involves trade-offs. Option E mentions the need for a company to stay committed to its strategy and continuously improve. Option D highlights that strategy goes beyond best practices, indicating the need for unique and innovative approaches. Option B mentions the configuration of a tailored value chain, which is essential for offering unique value. Option F states that a self-reinforcing system makes it difficult for competitors to imitate a strategy, highlighting the importance of a cohesive and integrated approach.

29. A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the and his son stand on the same straight line. The father observes that the shadows of his head and his son’s head are incident at the same point on the ground. If the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away form the post then how far (in metres) is son standing form his father?

0.9

0.75

0.6

0.45

Not Attempted

The son is standing 0.45 meters away from his father. This can be determined by using similar triangles. The height of the father's shadow is 6 meters and the height of the son's shadow is 0.9 meters. Since the shadows are incident at the same point on the ground, the ratio of their heights is equal to the ratio of their distances from the lamp post. Therefore, the distance between the son and his father is equal to (0.9/6) * 2.1 = 0.45 meters.

Explanation

The son is standing 0.45 meters away from his father. This can be determined by using similar triangles. The height of the father's shadow is 6 meters and the height of the son's shadow is 0.9 meters. Since the shadows are incident at the same point on the ground, the ratio of their heights is equal to the ratio of their distances from the lamp post. Therefore, the distance between the son and his father is equal to (0.9/6) * 2.1 = 0.45 meters.

30. “Between the year 1946 and the year 1955, I did not file any income tax returns.” With that [1] statement, Ramesh embarked on an account of his encounter with the income tax department. “ I originally owed Rs. 20,000 in unpaid taxes. With [2] and [3], the 20,000 became 60,000. The Income tax Department then went into action, and I learned first hand just how much power the Tax Department wields. Royalties and trust funds can be [4]; automobiles may be [5], and auctioned off. Nothing belongs to the [6] until the case is settled.”

Closed

Detached

Attached

Impounded

Not Attempted

The correct answer is "attached". In the given context, the speaker is describing the actions taken by the Income Tax Department when someone owes unpaid taxes. The word "attached" suggests that the department can seize or take possession of certain assets, such as royalties, trust funds, and automobiles, as a way to settle the unpaid taxes.

Explanation

The correct answer is "attached". In the given context, the speaker is describing the actions taken by the Income Tax Department when someone owes unpaid taxes. The word "attached" suggests that the department can seize or take possession of certain assets, such as royalties, trust funds, and automobiles, as a way to settle the unpaid taxes.

31. Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project. 􀁺 A Maximum number of volunteers are involved in the FR project. Among them, the number of volunteers involved in FR project alone is equal to the volunteers having additional involvement in the ER project. 􀁺 The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects. 􀁺 17 volunteers are involved in the TR project. 􀁺 The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone. 􀁺 Ten volunteers involved in the TR project are also involved in at least one more project.
After some time, the volunteers who were involved in all the three projects were asked to withdraw from one project. As a result, one of the volunteers opted out of the TR project, and one opted out of the ER project, while the remaining ones involved in all the three projects opted out of the FR project. Which of the following statements, then, necessarily follows?

The lowest number of volunteers is now in TR project

More volunteers are now in FR project as compared to ER project.

More volunteers are now in TR project as compared to ER project.

None of the above.

Not Attempted

After the volunteers who were involved in all three projects were asked to withdraw from one project, one volunteer opted out of the TR project and one volunteer opted out of the ER project, while the remaining ones opted out of the FR project. This means that the number of volunteers in the FR project has increased, while the number of volunteers in the ER project has decreased. Therefore, more volunteers are now in the FR project as compared to the ER project.

Explanation

After the volunteers who were involved in all three projects were asked to withdraw from one project, one volunteer opted out of the TR project and one volunteer opted out of the ER project, while the remaining ones opted out of the FR project. This means that the number of volunteers in the FR project has increased, while the number of volunteers in the ER project has decreased. Therefore, more volunteers are now in the FR project as compared to the ER project.

32. A. As officials their vision of a country shouldn't run too far beyond that of the local people with whom they have to deal. B. Ambassadors have to choose their words. C. To say what they feel they have to say, they appear to be denying or ignoring part of what they know. D. So, with ambassadors as with other expatriates in black Africa, there appears at a first meeting a kind of ambivalence. E. They do a specialized job and it is necessary for them to live ceremonial lives.

BCEDA

BEDAC

BEADC

BCDEA

Not Attempted

not-available-via-ai

Explanation

not-available-via-ai

33.

Some birds settled on the branches of a tree. First they sat one to a branch and there was one bird too many. Next they sat two to a branch and there was one branch too many. How many branches were there?

3

4

5

6

Not Attempted

The birds settled on the branches in a way that there was always one bird too many when they sat one to a branch, and one branch too many when they sat two to a branch. This means that there must have been one bird sitting alone on each branch. Therefore, the number of branches is equal to the number of birds, which is 3.

Explanation

The birds settled on the branches in a way that there was always one bird too many when they sat one to a branch, and one branch too many when they sat two to a branch. This means that there must have been one bird sitting alone on each branch. Therefore, the number of branches is equal to the number of birds, which is 3.

34. Help Distress (HD) is an NGO involved in providing assistance to people suffering from natural disasters. Currently, it has 37 volunteers. They are involved in three projects: Tsunami Relief (TR) in Tamil Nadu, Flood Relief (FR) in Maharashtra, and Earthquake Relief (ER) in Gujarat. Each volunteer working with Help Distress has to be involved in at least one relief work project. 􀁺 A Maximum number of volunteers are involved in the FR project. Among them, the number of volunteers involved in FR project alone is equal to the volunteers having additional involvement in the ER project. 􀁺 The number of volunteers involved in the ER project alone is double the number of volunteers involved in all the three projects. 􀁺 17 volunteers are involved in the TR project. 􀁺 The number of volunteers involved in the TR project alone is one less than the number of volunteers involved in ER project alone. 􀁺 Ten volunteers involved in the TR project are also involved in at least one more project.
After the withdrawal of volunteers, as indicated in Question 77, some new volunteers joined the NGO. Each one of them was allotted only one project in a manner such that, the number of volunteers working in one project alone for each of the three projects became identical. At that point, it was also found that the number of volunteers involved in FR and ER projects was the same as the number of volunteers involved in TR and ER projects. Which of the projects now has the highest number of volunteers?

ER

FR

TR

Cannot be determined

Not Attempted

The number of volunteers involved in each project cannot be determined based on the given information. Although it is mentioned that the number of volunteers involved in FR and ER projects is the same as the number of volunteers involved in TR and ER projects after the withdrawal of volunteers, it does not provide any specific numbers or ratios. Therefore, it is not possible to determine which project has the highest number of volunteers.

Explanation

The number of volunteers involved in each project cannot be determined based on the given information. Although it is mentioned that the number of volunteers involved in FR and ER projects is the same as the number of volunteers involved in TR and ER projects after the withdrawal of volunteers, it does not provide any specific numbers or ratios. Therefore, it is not possible to determine which project has the highest number of volunteers.