CAT FULL LENGTH TEST 1 : ANSWERS

MBA Preparation Materials & tips
http://howtoprepare4cat.blogspot.com/2007/12/resourcespast-papers.html

CAT FULL LENGTH TEST 1 :
EXPLANATORY ANSWERS

 

1] A & C Hence, [3]

2] A only Hence [3]

3] D only Hence [2]

4] D only Hence [3]

5] He could not convince the doubting audience.
Hence [4]

6] Withering away of religion as a significant
element. Hence [2]

7] Concentrating on creating European links.
Hence [4]

8] Spontaneous recognition from supervisors and
managers.Hence [3]

9] May also be well advised. Hence [1]

10] Demonstrate their strength. Hence
[2]

11] String of commentaries on .Hence
[4]

12] The passage of time, curse. Hence
[3]

13] Rural, restructure Hence [4]

14] Superficial attempt at liberalisation.
Hence [1]

15] Ideological, cultural. Hence [4]

16] Irony, intends Hence [2]

17] Inspiring,win Hence [4]

18] Fascinated, oddballs. Hence [3]

19] Excitement, applause. Hence [1]

20] 2,does not

21] 5

22] 4, drop ‘a’

23] 4, drop ‘the’

24] 3, drop ‘the’

25] 5

26] 1, was nearly pink

27] 5

28] 4, the book

39] 4, was

30]5

31. 2, is

32. 2, with

33. 5

34. 2, for

35. 2, of

36. 4, for

37. 3, are

38. 4, was

39. 5

40. [4]

41. [4]

42. [2]

43.  [2]

44.  [1]

45.  [3]

46. [2]

47.  [3]

48. [4]

49. [2]

50. [1]

51. [3]

52. [3]

53. [4]

54. [4]

55. [3]

56. [4]

57. [2]

58. [4]

59. [2]

60. [2]

61. Let the selling price be S .



Cost price = C = 0.5S

Profit = 0.5S

0.5S = 60

S = 120



62. In one day A can do 1/1 work



In one day B can do 1/12 work

In one day A+B =1/10+1/12

=22/120 =11/60

=60/11 = 5 5/11



63. Let the fraction be a/b



b = a+5 --I

Also, a/b+7 =1/4

4a = b+7 --II

Solving I+II,

-a+b = 5

4a-b = 7

3a = 12

a = 4, therefore b = 9



64. 45, 54



sum = 45+54 = 99



65. Let the number be x



2x-1/2x = 30

3/2x = 30

3x = 60

x = 20




66. 20x+10y = 200 --I

x+y = 15 --II

20x+10y =200

(-)10x+10y = 150

10x = 50

x = 5

67. Apples         
Bananas        

        3                  
2

         15

15*2/3 = 10 Bananas

68. cost exclusive of excise and tax = x



excise = 0.12

Tax= 0.04

X+0.16x = 600

X = 600/1.16

= 517.24






69. x has Rs. 6.



2/3 of x = 2/3*6 = Rs. 4

Rs. 4 = ¼ y

Y = 4*4 = 16



70. x+1/x = ½



(x+1/x)² = x² + 2x1/x +
1/x²

= x² +2 +1/x²

= x² + 1/x2 + 2

= ¼+2

=1+8/4

= 9/4




71. x will complete 1/20 in one day.



Y will complete 1/30 in one day.

Z will complete 1/60 in one day.

4 days = (1/20 + 1/30 + 1/60)*4

= (3+2+1/60)*4

= 6/60*4

= 4/10

= 2/5^th complete

6 days = (1/20 + 1/60)*6

= (3+1/60)*6

= 4/60*6

= 4/10 = 2/5

total work complete = 2/5+2/5 = 4/5

work remaining = 1/5

1/5/1/20=1/5*20/1

= 4 days






72. volume increase in cylinder=(volume of block
    *portion of it which is immersed)



22/7*62*4 = 5*6*7( p)

p = 22/7*36*4

           5*6*7




p = 22/7*24/35

73. Let the number be x.



X²-x = 870

X²-30x+29x-870 = 0

(x-30)(x+29) = 0

x = 30






74. Let the no. of eligible voters = x



Then, (0.6)(.6x) = 53040

0.36x = 53040

x = 54000/0.36

x = 150000






75. Let side of the square be x.



(x+3)² = x² + 33

x²+6x+9=x²+33

6x=24

x=4






76. A:B is 10:7.5



B:C is 10:9

A:B:C is 100:75:90

C gets 90*88000/265=29887






77. Expensive brand cost = 20*60=1200



Expense now = 1200-450=750

Average cost of the mixture =750/20

Rs.30 Rs. 60

Rs. 750/20

450/20 150/20

3:1






78. Instalments paid = 1575+1575 = 3150



Interest = 3150-3000 = 150

For 2 months interest = Rs.150

Rate of interest 2.5%p.m.

Rate of interest p.a. = 12*2.5 = 30%






79. 4-2.8+3.5-1+x=5



x=5-4+2.8-3.5+1

=1.3






80. Let the marked price be 100.



Selling price =60

Commission = 3/100*60 = 1.8

Commission(%) Commission(Rs).

1.8                         
12

100                          
?

100*12/1.8=666.67

81.         
    3:2:1






1.5*12+1.5*4:2*12:1*12

18+6:24:12

24:24:12

2:2:1

1800/5*2

360*2

Rs.720.






82.     By alligation rule:
    
      10                               
    5

                      
825/100

           
13                                 
7

No. of 5 paise = 100/20*13

= 65 coins

No. of 10 paise =100/20*7

=35 coins

      83. By
alligation rule:

    & [2]

163.Production in 1998=456000 units

Sales=433200 units

Sales revenue=433200*6=2599200

Therefore advt. expense=2599200*4.33%

=112,545

Hence [1]

164. Inventory for 1994

Production in '94=330,000

Sales=297,000 therefore inventory=33,000

Inventory for 1995

Production in 1995=340,000

Sales in 1995=306,000 therefore inventory=34000

Sales for 1996=360000

Total sales=360000+34000+33000=427000 units

Hence [1]

165. Market share=80/4=20%

Sales revenue=345,800*5=1729000

Therefore market =1,729,000/0.20=86.45lac

Hence [2]

166. Answer is [2]

167.Answer is [1]

The following table can easily explain
questions 168 to 172

Names	Arti	Banti	Chetan	Dolly
Amount	Rs38.4	Rs11.6	Rs16.6	Rs33.4

168.[1]  169.[2]  170.[3] 
171.[3]  172.[1]

173. While X=0, Y=5, A=3, B=5

While X=2, Y=8, A=5, B=8

While X=4, Y=13, A=8, B=13

Hence [3]

174. While X=0, Y=5, A=3, B=5

If X is increased by 5 further values of Y will
not be calculated.

Hence [1]

175. The last value of X is 4

Hence [2]

The following table explains the
questions171 to 180

Husband	Wife	Surname	Office
Jai	Beena	Parikh	Air India
Girish	Maya	Sahni	Indian Court
Jayesh	Chand	Natwar	Ashiana
Bala	Preeti	Bakshi	American Court
Pratap	Sangeeta	Joshi	Jet

176. [4] 177. [4] 178. [4] 179. [3] 180. [3]

The following table explains the
questions 181 to 185

1	2	3	4	5
B	E	A	D	C

181. [3] 182. [4] 183. [2] 184. [1] 185. [3]

Unlimited MBA Preparation Materials & tips
http://howtoprepare4cat.blogspot.com/2007/12/resourcespast-papers.html