CAT1990 Related Question Answers
51. I brought 30 books on Mathematics, Physics, and Chemistry, priced at Rs.17, Rs.19, and Rs.23 per book respectively, for distribution among poor students of Standard X of a school. The physics books were more in number than the Mathematics books but less than the Chemistry books, the difference being more than one. The total cost amounted to Rs.620. How many books on Mathematics, Physics, and Chemistry could have been bought respectively?
52. The last time Rahul bought Diwali cards, he found that the four types of cards that he liked were priced Rs.2.00, Rs.3.50, Rs.4.50 and Rs.5.00 each. As Rahul wanted 30 cards, he took five each of two kinds and ten each of the other two, putting down the exact number of 10 rupees notes on the counter payment. How many notes did Rahul give?
55. If Excise duty is levied before the goods leave the factory (on the value of the liquor), then which of the following choices shows distilleries in ascending order of the excise duty paid by them for the year 1996? (Assume the total liquor in TN is supplied by only these 5 distilleries).
56. If the Tamil Nadu distillery, with the least average simple annual growth in amount of liquor supplied in the given period had shown the same rate of growth as the one which grew fastest, what would that company's supply have been in 1998, in lakh liters?
57. Saira, Mumtaz and Zeenat have a ball, a pen and a pencil, and each girl has just one object in hand. Among the following statements, only one is true and the other two are false. I. Saira has a ball. II. Mumtaz does not have the ball. III. Zeenat does not have the pen.Who has the ball?
58. Albert, David, Jerome and Tommy were plucking mangoes in a grove to earn some pocket money during the summer holidays. Their earnings were directly related to the number of mangoes plucked and had the following relationship: Jerome got less money than Tommy. Jerome and Tommy together got the same amount at Albert and David taken together. Albert and Tommy together got less than David and Jerome taken together. Who earned the most pocket money? Who plucked the least number of mangoes?
59. I happened to be the judge in the all India Essay Competition on Nylon Dying, organized some time back by a dyestuff firm. Mill technicians were eligible to enter the competition. My work was simplified in assessing the essays, which had to be done under five heads-Language, Coherence, Subject Matter, Machinery and Recent Developments. Marks were to be given out of a maximum of 20 under each head. There were only five entries. The winner got 90 marks. Akhila got 13 in Coherence and Divya 10 in Machinery. Bhanu.s total was less than Akhila.s. Charulata has sent an entry. Ela had got as many marks as Divya. None got 20 under any head. Who was the winner?
60.
Refer to the following Bar-chart and answer the questions that follow :
What is the average value of the contract secured during the years shown in the diagram?
61.
Refer to the following Bar-chart and answer the questions that follow :
Compared to the performance in 1985 (i.e. taking it as the base), what can you say about the performances in the years `84, `85, `86, `87, `88 respectively, in percentage terms?
62.
Refer to the following Bar-chart and answer the questions that follow :
Which is the year in which the highest percentage decline is seen in the value of contract secured compared to the preceding year?
63.
The table below shows the estimated cost (in Rs. Lakh) of a project of laying a railway line between two places.
The total expenditure is required to be kept within Rs. 700 lakh by cutting the expenditure on administration equally in all the years. What will be the percentage cut for 1989?
64. If the length of line to be laid each year is in proportion to the estimated cost for material and labour, what fraction of the total length is proposed to be completed by the third year?
65. What is the approximate ratio of the total cost of materials for all the years bear to the total labour cost?
66. If the cost of materials rises by 5% each year from 1990 onwards, by how much will the estimated cost rise?
67. It is found at the end of 1990, that the entire amount estimated for the project has been spent. If for 1991, the actual amount spent was equal to that which was estimated, by what percent (approximately) has the actual expenditure exceeded the estimated expenditure?
68. After preparing the estimate, the provision for contingencies is felt inadequate and is therefore doubled. By what percent does the total estimate increase?
69.
The first table gives the number of saris (of all the eight colours) stocked in six regional showrooms. The second gives the number of saris (of all the eight colours) sold in these six regional showrooms. The third table gives the percentage of saris sold to saris stocked for each colour in each region. The fourth table gives the percentage of saris of a specific colour sold within that region. The fifth table gives the percentage of saris of a specific colour sold across all the regions. Study the tables and for each of the following questions, choose the best alternative.Table 1
Table 2
Table 3
Table 4
Table 5
Which region-colour combination accounts for the highest percentage of sales to stock?
71. Which region sold the maximum percentage of magenta saris out of the total sales of magenta saris?
74.
The table below gives the achievements of Agricultural Development Programmes from 1983 - 84 to 1988 - 89. Study the following table and for each of the following questions, choose the best alternative.
Irrigation (Cumulative in Million Hectares)
High yielding varieties (Million Hectares)
Consumption of chemical fertilizers
Gross Cropped area (Million hectares)
The consumption of chemical fertilizer per hectare of gross cropped area is lowest for the year
75. In which year does the area cropped under high yielding varieties show a decline for the maximum number of crops?
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