1. Davji
shop sells Samosas in boxes of different sizes. The samosas are prized at Rs 2
per Samosa up to 200 samosas. For every additional 20 Samosas, the price of the
whole lot goes down by 10 paise per Samosa. What would be the maximum size of
the box that would maximize the revenue?
(a)
240 (b) 300 (c) 400 (d) None of
these
(2003 C)
1. At
the end of year 1998, Sheppard bought dozen goats. Henceforth, every year he
added p% of the goats at the beginning of the year and sold q % of the goats at
the end of the year where p > 0 and q > 0. If Sheppard had nine dozen
goats at the end of year 2002, after making the sales for that year, which of
the following is true?
(a)
P = q (b) p < q (c) p > q (d) p = q/2
2. A
leather factory produces two kinds of bags, standard and deluxe bag. The profit
margin is Rs 20 on a standard bag and Rs 30 on a deluxe bag. Every bag must be
processed on machine A and on machine B. the processing times per bag on the
two machines are as follows:
Time required (Hours/ bag)
|
||
Machine A
|
Machine B
|
|
Standard Bag
|
4
|
6
|
Deluxe Bag
|
5
|
10
|
The total time on machine A is 700 hours
and on machine B is 1250 hours. Among the following production plans, which one
meets the machine availability constraints and maximizes the profit?
(a)
Standard 75 bags, Deluxe 80 bags (b) Standard 100 bags,
Deluxe 60 bags
(c) Standard 50 bags, Deluxe 100
bags (d) Standard 60
bags, Deluxe 90 bags
Directions for questions 1 to2: 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%.
1.
The maximum guaranteed return to Shabnam is (2007)
(a)
0.30% (b) 0.25% (c) 0.10% (d) 0.20% (e) 0.15%
2.
What strategy will maximize the guaranteed
return to Shabnam?
(a)
30% in option A, 32% in option B and 38% in
option C
(b)
100% in option A
(c)
36% in option B and 64% in option C
(d)
64% in option B and 36% in option C
(e)
1/3 in each of the three options
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