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Missing Number Series
Direction (1-5): The questions below are based on the given Series-I. The series-I satisfy a certain pattern, follow the same pattern in Series-II and answer the questions given below.
1)
I)Â 32, 49, 75, 112, 162, 227
II) 1……196. If 196 is the nth term, what value should come in the place of (n – 1)th term.
A) 131
B) 142
C) 137
D) 148
E) 156
2)
I
3)
I)Â 24, 36, 72, 180, 540
II) 8…….630. If 630 is the nth term, what value should come in the place of (n – 1)th term.
A) 210
B) 180
C) 150
D) 120
E) 240
4)
I)Â 15, 136, 305,530, 819, 1180
II) 23…….1188. If 1188 is the nth term, what value should come in the place of (n – 2)th term.
A) 420
B) 538
C) 313
D) 827
E) 361
5)
I)Â 19, 47, 103, 215, 439, 887
II)Â 31—-631.If 631 is the nth term, what value should come in the place of (n + 1)th term.
A) 1268
B) 1234
C) 1271
D) 1256
E) 1220
Data Interpretation
Direction (6-10): Study the following information carefully and answer the questions given below.
The given table shows the number of employee works in three different companies in five different months.
The given table shows the percentage of male employees in A in three different departments.
6) The number of female HR employees in C in March is 25% more than the number of female HR employees in A in March. Number of male HR employees in C in March is what percent of the number of male HR employees in A in March?
A) 130.45%
B) 135.52%
C) 145.71%
D) 140.25%
E) 149.25%
7) If the number of female IT employees in C in June is 10% more than the number of female IT employees in A in June and the number of female IT employees in C in July is 40% of the total number of IT employees in C in July. Find the percentage decrease in the number of female IT employees in C from June to July?
A) 19.69%
B) 20.45%
C) 21.56%
D) 18.72%
E) 15.93%
8) What is the total number of female Sales employees in A in all the months together?
A) 16360
B) 17470
C) 16370
D) 17370
E) 15370
9) Out of 60% of total number of HR employees in B in March are regular employees and out of 40% of the total number of sales employees in A in April are regular employees. What is the difference between the regular HR employees in B in March and the regular sales employees in A in April?
A) 580
B) 630
C) 690
D) 530
E) 490
10) Out of 40% of the total number of sales employees in B in July are female and out of 25% of the total number of sales employees in C in April are female. What is the ratio of female sales employees in B in July to the number of female sales employees in C in April?
A) 87:49
B) 89:45
C) 96:47
D) 81:43
E) None of these
Answers :
Directions (1-5) :
1) Answer: A
Series I,
32 + 42Â + 1 = 49
49 + 52Â + 1 = 75
75 + 62Â + 1 = 112
112 + 72Â + 1 = 162
162 + 82Â + 1 = 227
Series II,
1 is 1st term
1 + 42Â + 1 = 18
18 + 52Â + 1 = 44
44 + 62Â + 1 = 81
81 + 72 + 1 = 131(n – 1)th term
131 + 82Â + 1 = 196
196 is nth term
2) Answer: C
Series I,
13 + (13 * 1) + 0 = 26
26 + (13 * 2) + 1 = 53
53 + (13 * 3) + 2 = 94
94 + (13 * 4) + 3 = 149
149 + (13 * 5) + 4 = 218
Series II,
29 is 1st term.
29 + (13 * 1) + 0 = 42
42 + (13 * 2) + 1 = 69
69 + (13 * 3) + 2 = 110
110 + (13 * 4) + 3 = 165 (nth term)
165 + (13 * 5) + 4 = 234 (n + 1)th term
3) Answer: B
Series I,
24 * 1.5 = 36
36 * 2 = 72
72 * 2.5 = 180
180 * 3 = 540
Series II,
8 is 1st term
8 * 1.5 = 12
12 * 2 = 24
24 * 2.5 = 60
60 * 3 = 180(n – 1)th term
180 * 3.5 = 630(nth term)
4) Answer: B
Series I,
15 + 112Â = 136
136 + 132Â = 305
305 + 152Â = 530
530 + 172Â = 819
819 + 192Â = 1180
Series II,
23 + 112Â = 144
144 + 132Â = 313
313 + 152Â = 538(n-2)th term
538 + 172Â = 827
827 + 192Â = 1188(nth term)
5) Answer: C
Series I,
19 * 2 + 9 = 47
47 * 2 + 9 = 103
103 * 2 + 9 = 215
215 * 2 + 9 = 439
439 * 2 + 9 = 887
Series II,
31 * 2 + 9 = 71
71 * 2 + 9 = 151
151 * 2 + 9 = 311
311 * 2 + 9 = 631(nth term)
631 * 2 + 9 = 1271(n + 1)th term
Directions (6-10) :
6) Answer: B
Number of female HR employees in A in March = 60/100 * 7600 = 4560
Number of male HR employees in A in March = 40/100 * 7600 = 3040
Number of female HR employees in C in March = 125/100 * 4560 = 5700
Number of male HR employees in C in March = 9820 – 5700 = 4120
Required percentage = 4120/3040 * 100 = 135.52%
7) Answer: A
Number of female IT employees in A in June = 7500 * 48/100 = 3600
Number of female IT employees in C in June = 3600 * 110/100 = 3960
Total number of IT employees in C in July = 7950
Number of female IT in C in July = 40/100 * 7950 = 3180
Required percentage = (3960 – 3180)/3960 * 100 = 19.69%
8) Answer: D
Number of female sales employees in A in march = 65/100 * 6200 = 4030
Number of female sales employees in A in April = 40/100 * 5550 = 2220
Number of female sales employees in A in May = 45/100 * 4800 = 2160
Number of female sales employees in A in June = 56/100 * 6500 = 3640
Number of female sales employees in A in July = 70/100 * 7600 = 5320
Required total = 4030 + 2220 + 2160 + 3640 + 5320 = 17370
9) Answer: C
Total number of HR employees in B in March = 4850
Regular HR employees in B in March = 60/100 * 4850 = 2910
Total number of sales employees in A in April = 5550
Regular sales employees in A in April = 40/100 * 5550 = 2220
Required difference = 2910 – 2220 = 690
10) Answer: A
Total number of sales employees in B in July = 8700
Number of female sales employees in B in July = 40/100 * 8700 = 3480
Total number of sales employees in C in April = 7840
Number of female sales employees in C in April = 25/100 * 7840 = 1960
Required ratio = 3480:1960
= 87:49
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