GVI - QA from CAT'07, XAT'08
Will post some probs from CAT'07 and XAT 08 gradually
CAT '07
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1. A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
(1) Over Rupees 13 but less than Rupees 14
(2) Over Rupees 7 but less than Rupees 8
(3) Over Rupees 22 but less than Rupees 23
(4) Over Rupees 18 but less than Rupees 19
(5) Over Rupees 4 but less than Rupees 5
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2. Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. She has three options, each of which can be utilized fully or partially in conjunction with others.
Option A: Invest in a public sector bank. It promises a return of +0.10%.
Option B: Invest in mutual funds of ABC Ltd. A rise in the stock market will result in a return of +5%, while a fall will entail a return of -3%.
Option C: Invest in mutual funds of CBA Ltd. A rise in the stock market will result in a return of -2.5%, while a fall will entail a return of +2%.
i). The maximum guaranteed return to Shabnam is
(1) 0.25% (2) 0.10% (3) 0.20% (4) 0.15% (5) 0.30%
ii). What strategy will maximize the guaranteed return to Shabnam?
(1)100 % in option A
(2) 36 % in option B and 64% in option C
(3) 64 % in option B and 36% in option C
(4) 1/3 in each of the three options
(5) 30 % in option A, 32% in option B and 38% in option C
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3. Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x units is 240 + bx + cx 2 where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the daily production cost by
However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit.
i) How many units should Mr. David produce daily?
(1) 130 (2) 100 (3) 70 (4) 150 (5) Cannot be determined
ii) What is the maximum daily profit, in rupees, that Mr. David can realize from his business?
(1) 620 (2) 920 (3) 840 (4) 760 (5) Cannot be determined
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