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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]
 Let the selling price be S .
 In one day A can do 1/1 work
 Let the fraction be a/b
 45, 54
 Let the number be x
Cost price = C = 0.5S
Profit = 0.5S
0.5S = 60
S = 120
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
b = a+5 I
Also, a/b+7 =1/4
4a = b+7 II
Solving I+II,
a+b = 5
4ab = 7
3a = 12
a = 4, therefore b = 9
sum = 45+54 = 99
2x1/2x = 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
 cost exclusive of excise and tax = x
 x has Rs. 6.
 x+1/x = ½
 x will complete 1/20 in one day.
 volume increase in cylinder=(volume of block
*portion of it which is immersed)
excise = 0.12
Tax= 0.04
X+0.16x = 600
X = 600/1.16
= 517.24
2/3 of x = 2/3*6 = Rs. 4
Rs. 4 = ¼ y
Y = 4*4 = 16
(x+1/x)^{2} = x^{2} + 2x1/x +
1/x^{2}
= x^{2} +2 +1/x^{2}
= x^{2} + 1/x2 + 2
= ¼+2
=1+8/4
= 9/4
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
22/7*62*4 = 5*6*7( p)
p = 22/7*36*4
5*6*7
p = 22/7*24/35
 Let the number be x.
 Let the no. of eligible voters = x
 Let side of the square be x.
 A:B is 10:7.5
 Expensive brand cost = 20*60=1200
 Instalments paid = 1575+1575 = 3150
 42.8+3.51+x=5
 Let the marked price be 100.
X^{2}x = 870
X^{2}30x+29x870 = 0
(x30)(x+29) = 0
x = 30
Then, (0.6)(.6x) = 53040
0.36x = 53040
x = 54000/0.36
x = 150000
(x+3)^{2} = x^{2} + 33
x^{2}+6x+9=x^{2}+33
6x=24
x=4
B:C is 10:9
A:B:C is 100:75:90
C gets 90*88000/265=29887
Expense now = 1200450=750
Average cost of the mixture =750/20
Rs.30 Rs. 60
Rs. 750/20
450/20 150/20
3:1
Interest = 31503000 = 150
For 2 months interest = Rs.150
Rate of interest 2.5%p.m.
Rate of interest p.a. = 12*2.5 = 30%
x=54+2.83.5+1
=1.3
Selling price =60
Commission = 3/100*60 = 1.8
Commission(%) Commission(Rs).
1.8
12
100
?
100*12/1.8=666.67

3:2:1  By alligation rule:
10
5
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.
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]
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