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Missing number series
Directions (01-05): What value should come in the place of question mark (?) in the following number series?
1) 25, 35, 75, 165, ?, 575
A.200
B.300
C.250
D.325
E.425
2) 96, 480, 120, 600, ? , 750
A.140
B.150
C.100
D.200
E.250
3) 1682, 1765, 1850, 1937, ?
A.2025
B.2024
C.2019
D.2011
E.2026
4) 256, 64, 32, 24, 24, ?
A.15
B.30
C.60
D.45
E.none of these
5) 128, 124, 115, 90, 41, ?
A.-70
B.-80
C.-90
D.-110
E.none of these
Caselet
Directions (06-10): Study the following information carefully and answer the questions given below.
There are five states Tamilnadu, Kerala, Karnataka, Andhra Pradesh and Odisha and each states has different number of rivers and lakes.
Total number of lakes and rivers together in Karnataka to Tamilnadu is 5:4. Total number of river and lakes together in Tamilnadu is 18.75% of the total number of rivers and lakes together in all the states together. Total number of rivers in Karnataka is one-third of total number of rivers and lakes together in Karnataka and the total number of rivers in Andhra Pradesh is 60. Total number of rivers in all the states together is 300 and the total number of rivers in Tamilnadu is two-third of the total number of river and lakes together in Tamilnadu. Total number of lakes in Kerala is 10 more than the total number of rivers in Tamilnadu which is 50% of the total number of river and lakes in Kerala. Total number of lakes in all the states together is 53(1/8)% of total number of river and lakes in all the states together. Total number of lakes in Andhra Pradesh is 40% of total number of river and lakes together in Andhra Pradesh.
6) If the total number of rivers and lakes together in Maharashtra is 40% of the total number of rivers and lakes together in Karnataka and the number of rivers in Maharashtra is 20% of the total number of lakes in Karnataka, then find the number of lakes in Maharashtra?
A.30
B.40
C.50
D.20
E.60
7) What is the difference between the total number of rivers in Tamilnadu, Kerala and Karnataka together and the total number of lakes in Andhra Pradesh and Odisha?
A.110
B.100
C.90
D.80
E.75
8) The number of rivers in Kerala is what percentage of the total number of lakes and rivers together in Kerala?
A.38.68%
B.40.92%
C.43.75%
D.49.75%
E.53.75%
9) The number of rivers and lakes together in Bihar is 40% more than the number of lakes and rivers together in Andhra Pradesh. If the total number of rivers in Bihar is 55% more than the number of rivers in Odisha, then find the number of lakes in Bihar?
A.78
B.84
C.68
D.72
E.88
10) What is the average number of rivers and lakes together in Tamilnadu, Kerala and Odisha?
A.130
B.140
C.120
D.110
E.150
Answers :
1) Answer: D
25 + 10 * 1² = 35
35 + 10 * 2² = 75
75 + 10 * 3² = 165
165 + 10 * 4² = 325
325 + 10 * 5² = 575
2) Answer: B
96 * 5 = 480
480 / 4 = 120
120 * 5 = 600
600 / 4 = 150
150 * 5 = 750
3) Answer: E
The differences are 83, 85, 87, 89…
1682 + 83=1765, 1765 + 85 = 1850, 1850 + 87 =1937, 1937 + 89 =2026
(or)
412Â + 1 = 1681 + 1 = 1682
422Â + 1 = 1764 + 1 = 1765
432Â + 1 = 1849 + 1 = 1850
442Â + 1 = 1936 + 1 =1937
452Â + 1 = 2025 + 1 =Â 2026
4) Answer: B
256 x 0.25 = 64
64 x 0.5 = 32
32 x 0.75 = 24
24 x 1 = 24
24 x 1.25 = 30
5) Answer: B
difference of square of prime numbers
128 – 22 = 124
124 – 32 = 115
115 – 52 = 90
90 – 72 = 41
41 – 112 = -80
Directions (6-10) :
Total number of river and lakes in all the states together = 100x
Number of lakes in all the states = 425/800 * 100x = 53.125x
Number of rivers in all the states together = 100x – 53.125x = 46.875x
46.875x = 300
x = 6.4
Total number of lakes and rivers in all the states = 100 * 6.4 = 640
Total number of lakes in all the states = 53.125 * 6.4 = 340
Tamilnadu:
Total number of rivers and lakes = 18.75/100 * 640 = 120
Number of rivers in Tamilnadu = 2/3 * 120 = 80
Number of lakes in Tamilnadu = 120 – 80 = 40
Kerala:
Total number of lakes and river = 80 * 100/50 = 160
Number of lakes = 80 + 10 = 90
Number of rivers = 160 – 90 = 70
Karnataka:
Total number of lakes and river = 5/4 * 120 = 150
Number of rivers = 150 * 1/3 = 50
Number of lakes = 150 – 50 = 100
Andhra Pradesh:
Number of rivers = 60
Total number of rivers and Lakes = 60 * 100/60 = 100
Number of Lakes = 100 – 60 = 40
Odisha:
Total number of Lakes and rivers = 640 – 100 – 150 – 160 – 120 = 110
Number of lakes = 340 – 40 – 100 – 90 – 40 = 70
Number of rivers = 110 – 70 = 40
6) Answer: B
Number of lakes and rivers in Maharashtra = 40/100 * 150 = 60
Number of rivers in Maharashtra = 20/100 * 100 = 20
Number of lakes in Maharashtra = 60 – 20 = 40
7) Answer: C
Required difference = (80 + 70 + 50) – (70 + 40)
= 200 – 110
= 90
8) Answer: C
Required percentage = 70/160 * 100
= 43.75%
9) Answer: A
Total number of lakes and rivers in Bihar = 140/100 * 100 = 140
Number of rivers in Bihar = 155/100 * 40 = 62
Number of lakes in Bihar = 140 – 62 = 78
10) Answer: A
Required average = (120 + 160 + 110)/3
= 390/3
= 130
