dse-2009

[manvi09]

how to solve
1. There are 4 married couples in a club. A 3-member committee must be formed
from among them, such that no married couple is part of the committee. The number
of ways in which this committee can be formed is
a) 16
b) 44
c) 32
d) 56

[Swati jain]

no.of cases to choose 3 members out of 4 couples=8 members = 8c3= 56
if couple is selected then we need to choose 1 member=6c1=6
and acc. to question there r four couples then v have cases=4*6c1=4*6=24
now no. of cases to choose 3 members from 8, tht no couple is there= 56-24=32

[nidhi aggarwal]

How to solve this question

Questions 24 and 25 ‘Suraksha’ is the sole producer and supplier of security systems
in India and the sole employer of locksmiths in the labour market. The demand for
security systems is D( p ) = 100 − p , where p is the price. The production of security
systems only requires locksmiths and the production function is given by f ( L) = 4 L ,
where L is the number of locksmiths employed. The supply curve for locksmiths is
                                                    
given by L( w) = max    0, w/2-20 , where w is the wage rate.
                                                    
24. How many locksmiths will ‘Suraksha’ employ?
       a) 5
      b) 10
     (C) 15
      d) 20

25. If the government sets the minimum wage is 70 , how many locksmiths will
Suraksha employ?
         a)            5
         b)            10
         c)            15
         d)            20

[Swati jain]

i too dn knw hw to get through.. i too asked this..

[manvi]

how to solve??
The nine digits 1, 2,…, 9 are arranged in random order to form a nine digit
number, which uses each digit exactly once. Find the probability that 1, 2 and 3
appear as neighbours in the increasing order.
a)1 32/36
b)1 33/36
c)1 17/8
d)1 16/18

[manvi]

Let X stand for the consumption set and let R, I, P respectively stand for the weak
preference relation, indifference relation and strict preference relation of a consumer.
The weak preference relation R is said to satisfy Quasitransitivity if and only if for all
x, y, z belonging to X, xPy and yPz → xPz. Which of the following preference
relations over X = {x,y,z} satisfy Quasitransitivity?
a) xPy & yPz & zPx
b) xPy & yPz & zIx
c) xPy & yIz & zIx
d) yPx & yIz & xPz

[Swati jain]

total no.of cases wud be 9*8*7*6*5*4*3*2*1
take 123 as fixed places and rest can be filled by 6*5*4*3*2*1
123 can be placed in the starting or last or in between so like this v hv 7 cases.
probability = 7*6*5*4*3*2*1/9*8*7*6*5*4*3*2*1    =1/72