XAT 2016 preparation
XAT 2016 Preparation series
Considered as one of the toughest entrance exams for MBA students , we are running a series under XAT 2016 preparation. With the new pattern changes that have taken place this year, it would be beneficial for you to go through these past year XAT actual questions.We have segregated questions and solutions section wise so that you get a fair idea of the difficulty level of the papers over the previous years, as well as the differential marking scheme for each question. The articles will contain 360+ actual XAT questions. You can browse through the posts here.
Question Numbers 1 and 2 are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:
A.Statement I alone is sufficient to answer the question
B.Statement II alone is sufficient to answer the question
C.Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question
D.Either Statement I or Statement II alone is sufficient to answer the question
E.Neither Statement I nor Statement II is necessary to answer the question
1.Let PQRS be a Two circles O1 and O2 are inscribed in triangles PQR and PSR respectively. Circle O1 touches PR at M and circle O2 touches PR at N. Find the length of MN. (5 marks)
1.A circle is inscribed in the quadrilateral PQRS
2.The radii of the circles O1 and O2 are 5 and 6 units respectively
2.Given below is an equation where the letters represent (PQ). (RQ) = XXX. Determine the sum of P + Q + R + X. (3 marks)
1.X = 9.
2.The digits are unique.
Answer question numbers 3 to 5 based on the following information
Mulchand Textiles produces a single product of only one quality – waterproof synthetic fabric. Mr.Sharma, the cost accountant of Mulchand Textiles, estimated the costs of Mulchand Textiles for different possible monthly output levels. Before he could tabulate his estimates his computer crashed, and Mr. Sharma lost all data. Fortunately he had some printouts of some incomplete tables, charts and diagrams. The table titled “Variable Cost Estimates of Mulchand Textiles” provided the estimates of labour and material costs.
| Variable Cost Estimates of Mulchand Textiles | ||
| Output (Square feet) | Labour cost (Rs.) | Material cost (Rs.) |
| 25000 | 21500 | 11050 |
| 50000 | 41500 | 22000 |
| 75000 | 60000 | 33000 |
| 100000 | 78000 | 44000 |
| 125000 | 95000 | 54750 |
| 150000 | 111000 | 65700 |
| 175000 | 133000 | 76650 |
| 200000 | 160000 | 88000 |
Apart from labour and material costs Mulchand Textiles incurs administrative costs of Rs. 40,000 per month, and electricity costs. Mr. Sharma recalled that estimate data of variable electricity cost had certain peculiar characteristics. Values at every 25000 sq ft of output increased in geometric progression till 150000 sq ft of output, after which values increased in arithmetic progression for every 25000 sq ft of output. Mr. Sharma remembered that the electricity cost was estimated to be Rs. 3800 for 25000 sq. ft. of output, Rs. 5700 for 50000 square feet of output and Rs. 38856.50 for 175000 square feet of output.
3.The estimated cost per square feet of output is least for: (3 marks)
A.75000 square feet output
B.100000 square feet output
C.125000 square feet output
D.150000 square feet output
E.175000 square feet output
4.The estimated material cost given in the table titled “Variable Cost Estimates of Mulchand Textiles” included the cost of material that gets spoiled in the production proces Mr. Sharma decomposed the estimated material cost into material spoilage cost and material usage cost, but he lost the data when his computer crashed. When he saw the following line diagram, he recalled that he measured the estimate of material spoilage cost per square feet of output on the y-axis and monthly output on the x-axis.
Estimated material usage cost per square feet of output
A.Decreases up to 125000 square feet of monthly output and then increases monotonically
B.Recreases up to 50000 square feet of monthly output, remains constant between 50000 and l00000, decreases between 100000 and 125000, remains constant between 125000 and 175000 and finally increases between 175000 and 200000 of monthly output
C.Remains constant for all levels of monthly output
D.Increases up to 50000 square feet of monthly output, remains constant between 50000 and l00000, increases between 100000 and 125000, remain constant between 125000 and 175000 and finally decreases between 175000 and 200000 of monthly output
E.Increases up to 100000 square feet of monthly output and then decreases monotonically
5.Sharma found some printouts of line diagrams. The axes of the graphs were not marked, but Mr. Sharma remembered that he measured monthly output on the x-axis. Which of the following diagrams would represent the estimates of electricity cost per square feet of output versus monthly output?
A. 
B. 
C. 
D. 
E. 
Answer question numbers 5 to 8 based on the following information.
In the beginning of the year 2010, Mr. Sanyal had the option to invest Rs. 800000 in one or more of the following assets – gold, silver, US bonds, EU bonds, UK bonds and Japanese bonds. In order to invest in US bonds, one must first convert his investible fund into US Dollars at the ongoing exchange rate. Similarly, if one wants to invest in EU bonds or UK bonds or Japanese bonds one must first convert his investible fund into Euro, British Pounds and Japanese Yen respectively at the ongoing exchange rates. Transactions were allowed only in the beginning of every month. Bullion prices and exchange rates were fixed at the beginning of every month and remained unchanged throughout the month. Refer to the table titled “Bullion Prices and Exchange Rates in 2010” for the relevant data
| Gold | Silver | US$ | € | £ | ¥ | |
| Rs/ 10 gram | Rs/ 10 gram | Rs/ US$ | Rs/€ | Rs/£ | Rs/¥ | |
| Jan-14 | 20000 | 300 | 40 | 60 | 70 | 0.5 |
| Feb-14 | 20100 | 302 | 41 | 61.5 | 71 | 0.51 |
| Mar-14 | 20250 | 307 | 41 | 62 | 71 | 0.52 |
| Apr-14 | 20330 | 310 | 42 | 62 | 71 | 0.52 |
| May-14 | 20400 | 312 | 42 | 62.5 | 72 | 0.53 |
| Jun-14 | 20500 | 318 | 42 | 62.5 | 72 | 0.54 |
| Jul-14 | 20650 | 330 | 44 | 63 | 73 | 0.55 |
| Aug-14 | 20720 | 335 | 45 | 63 | 73 | 0.55 |
| Sep-14 | 20850 | 340 | 47 | 64 | 74 | 0.57 |
| Oct-14 | 20920 | 342 | 49 | 65 | 74 | 0.58 |
| Nov-14 | 20950 | 345 | 50 | 65 | 74.5 | 0.59 |
| Dec-14 | 21000 | 350 | 50 | 65 | 75 | 0.6 |
Interest rates on US, EU, UK and Japanese bonds are 10%, 20%, 15% and 5% respectively.
5.Sanyal invested his entire fund in gold, US bonds and EU bonds in January 2010. He liquefied his assets on 31st August 2010 and gained 13% on his investments. If instead he had held his assets for an additional month he would have gained l6.25%. Which of the following options is correct?
A.Sanyal invested less than 40% in gold and more than 40% in EU bonds.
B.Sanyal invested less than 40% in each of gold and US bonds.
C.Sanyal invested less than 40% in gold, and less than 25% in US bonds.
D.Sanyal invested more than 40% in gold, less than 25% in EU bonds.
E.Sanyal invested more than 40% in each of US bonds and EU bonds.
6.At the beginning of every month, by sheer luck, Sanyal managed to correctly guess the asset that gave maximum return during that month and invested accordingly. If he liquefied his assets on 31st December 2010, how much was the percentage gain from his investments?
A.34.64%
B. 46.71%
C.47.5%
D. 49.15%
E. 49.96%
7.Sanyal adopted the following investment strategy. On 1st January 2010 he invested half of his investible fund in gold and the other half he kept in fixed deposit of an Indian bank that offered 25% interest per annum. At the beginning of every quarter he liquefied his assets to create his investible fund for that quarter. Every quarter he invested half of his fund in the bullion that gave maximum return in the previous quarter and the other half in the foreign bond that gave maximum return in the previous quarter. However, if in any quarter none of the foreign bonds gave a better return than the fixed deposit of his Indian bank, he invested half of his investible fund in the fixed deposit for the next quarter. On 31st December 2010 Mr. Sanyal liquefied his assets and realized that all of the following options are true except:
A.By investing the entire amount in US bonds, he would have gained an additional Rs 118395.
B.By investing the entire amount in UK bonds, he would have gained an additional Rs 65035.
C.By investing the entire amount in EU bonds, he would have gained an additional Rs 65035.
D.By investing the entire amount in Japanese bonds, he would have gained an additional Rs.38395
E.By investing the entire amount in fixed deposit of his Indian bank he would have gained an additional Rs. 38395
8.Advisors were asked to prepare an investment strategy that involved US Bonds, EU Bonds and Japanese Bonds, keeping at least 20% of the initial fund in each of these assets for the entire year, and allowing exactly four additional transactions in the course of the year. On 2nd January 2011, while comparing five different recommendations that he had received from his financial advisors in the beginning of 2010, Sanyal referred to the table “Bullion Prices and Exchange Rates in 2010”. One transaction is defined as the buying or selling of an asset. Which of the recommendation out of the following was the best one?
A.Two additional transactions each during the month of June and Nov
B.Two additional transactions each during the month of June and October
C.Two additional transactions each during the month of May and June.
D.Two additional transactions each during the month of March and November
E.Two additional transactions each during the month of March and October
9.Bee noticed something peculiar while entering the quiz marks of his five students into a spreadsheet. The spreadsheet was programmed to calculate the average after each score was entered. Prof. Bee entered the marks in a random order and noticed that after each mark was entered, the average was always an integer. In ascending order, the marks of the students were 71, 76, 80, 82 and 91. What were the fourth and fifth marks that Prof. Bee entered?
A.71 and 82
B.71 and 76
C.71 and 80
D.76 and 80
E. 91 and 80
10.Rakhal is looking for a field where he can graze his He finds a local farmer, Gopal, who agrees to rent hi field to Rakhal for Rs. 1000 a year. Rakhal finds a post in the field and ties his cow to the post with a 25 feet rope. After some months, Gopal tells Rakhal that he will build a shed with four walls on the field with the post as one of the corner posts. The shed would be 15 feet by 10 feet. Rakhal agrees but he realizes that this arrangement would reduce the available area for grazing. What should be the modified rent to compensate for this loss of grazing area if Rakhal has to keep the cow tied to the same post with the same rope?
A.800
B.Rs. 880
C.Rs. 888
D.Rs. 930
E.None of the above
Answers –
1.A
2.E
3.D
4.C
5.B
6.B
7.None of the options
8.None of the options
9.A
10.E
