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Number Series
Direction (1-5): The questions below are based on the given Series-I. The Series II satisfy a certain pattern, follow the same pattern in Series-II and answer the questions given below.
1)
I)Â 45, 54, 74, 109, 163, 240
II) 13…..208. If 208 is the nth term find the value of n
A) 4
B) 5
C) 6
D) 7
E) 3
2)
I)Â 9, 7, 10, 22, 72, 328
II) 21…..360. If 360 is the nth term find the value of n
A) 4
B) 5
C) 6
D) 7
E) 3
3)
I)Â 11, 33, 69, 121, 191, 281
II) 56…..166. If 166 is the nth term find the value of n
A) 6
B) 2
C) 3
D) 4
E) 5
4)
I)Â 12, 66, 297, 1039.5, 2598.75
II) 32…..6930. If 6930 is the nth term find the value of n
A) 2
B) 4
C) 5
D) 6
E) 7
5)
I)Â 1, 25, 65, 121, 193, 281
II) 12…..292. If 292 is the nth term find the value of n
A) 4
B) 5
C) 7
D) 3
E) 6
Data Interpretation
Direction (6-10): Study the following information carefully and answer the questions given below.
The given table shows the five persons to covered the distance and total time taken by the journey.
6) Â If the average speed of Bala is 5 kmph more than the speed of Arul and the time taken by the Bala to covered the distance 60% of the time taken by Divya, then find the distance covered by Bala?
A) 400 km
B) 500 km
C) 600 km
D) 800 km
E) None of these
7) If time taken by Esai to covered the journey is 18 hours and the speed of Divya is 50% more than the speed of Esai, then what is the ratio of the distance covered by Divya to Sharu?
A) 7:1
B) 6:1
C) 8:3
D) 9:2
E) None of these
8) If the total journey is 2960 km and the ratio of the distance travelled by Bala to Divya is 3:4 and the speed of Bala is 25% more than the speed of Divya, then find the time taken by Bala to cover the distance?
A) 12 hours
B) 15 hours
C) 18 hours
D) 20 hours
E) None of these
9) If the speed of Bala and Divya in the ratio of 6:7 and the time taken by Arul to cover the distance is 20% more than the time taken by Sharu. Ratio of the time taken by Sharu and Bala is 2:3 and the ratio of the time taken by Bala and Esai is 5:6. If the ratio of the speed of Divya to Arul is 6:5, then what is the average speed of whole journey in all the persons together?
A) 33.6 kmph
B) 35.8 kmph
C) 32.8 kmph
D) 31.5 kmph
E) None of these
10) If the distance covered by Divya is 450 km and the time taken by Sharu to covers the distance is 7 hours less than Arul, then speed of Divya is what percent of the speed of Sharu?
A) 54%
B) 48%
C) 36%
D) 24%
E) None of these
Answers :
Directions (1-5) :
1) Answer: C
Series I,
45 + (3 * 3) = 54
54 + (4 * 5) = 74
74 + (5 * 7) = 109
109 + (6 * 9) = 163
163 + (7 * 11) = 240
Series II,
13 is the 1st term.
13 + (3 * 3) = 22
22 + (4 * 5) = 42
42 + (5 * 7) = 77
77 + (6 * 9) = 131
131 + (7 * 11) = 208
208 is 6th term
2) Answer: B
Series I,
9 * 1 – 2 = 7
7 * 2 – 4 = 10
10 * 3 – 8 = 22
22 * 4 – 16 = 72
72 * 5 – 32 = 328
Series II,
21 is the 1st term
21 * 1 – 2 = 19
19 * 2 – 4 = 34
34 * 3 – 8 = 94
94 * 4 – 16 = 360
360 is 5th term.
3) Answer: D
Series I,
11 + (11 * 2) = 33
33 + (12 * 3) = 69
69 + (13 * 4) = 121
121 + (14 * 5) = 191
191 + (15 * 6) = 281
Series II,
56 is 1st term.
56 + (11 * 2) = 78
78 + (12 * 3) = 114
114 + (13 * 4) = 166
166 is 4th term
4) Answer: C
Series I,
12 * 5.5 = 66
66 * 4.5 = 297
297 * 3.5 = 1039.5
1039.5 * 2.5 = 2598.75
Series II,
32 is 1st term
32 * 5.5 = 176
176 * 4.5 = 792
792 * 3.5 = 2772
2772 * 2.5 = 6930
6930 is 5th term
5) Answer: E
Series I,
1 + (3 * 8) = 25
25 + (5 * 8) = 65
65 + (7 * 8) = 121
121 + (9 * 8) = 193
193 + (11 * 8) = 281
Series II,
12 is 1st term.
12 + (3 * 8) = 36
36 + (5 * 8) = 76
76 + (7 * 8) = 132
132 + (9 * 8) = 204
204 + (11 * 8) = 292
292 is 6th term.
Directions (6-10) :
6) Answer: C
Speed of Arul = 420/12 = 35 kmph
Speed of Bala = 35 + 5 = 40 kmph
Time taken by Bala = 25 * 60/100 = 15 hours
Distance covered by Bala = 15 * 40 = 600 km
7) Answer: D
Speed of Esai = 540/18 = 30 kmph
Speed of Divya = 150/100 * 30 = 45 kmph
Distance covered by Divya = 45 * 25 = 1125 km
Required ratio = 1125:250
= 9:2
8) Answer: B
Distance covered by Bala and Divya = 2960 – 420 – 250 – 540 = 1750
Distance covered by Divya = 1750 * 4/7 = 1000 km
Distance covered by Bala = 1750 * 3/7 = 750 km
Speed of Divya = 1000/25 = 40 kmph
Speed of Bala = 40 * 125/100 = 50 kmph
Required time = 750/50 = 15 hours
9) Answer: A
Time taken by Arul = 12 hours
Time taken by Sharu = 100/120 * 12 = 10 hours
Time taken by Bala = 3/2 * 10 = 15 hours
Time taken by Esai = 6/5 * 15 = 18 hours
Speed of Arul = 420/12 = 35 kmph
Speed of Divya = 6/5 * 35 = 42 kmph
Speed of Bala = 6/7 * 42 = 36 kmph
Speed of Sharu = 250/10 = 25 kmph
Speed of Esai = 540/18 = 30 kmph
Average speed = (35 + 42 + 36 + 25 + 30)/5
= 33.6 kmph
10) Answer: C
Speed of Divya = 450/25 = 18 kmph
Time taken by Sharu = 12 – 7 = 5 hours
Speed of Sharu = 250/5 = 50 kmph
Required percentage = 18/50 * 100 = 36%
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