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Number series
Directions (1 – 5): What value should come in the place of question mark (?) in the following number series?
1) 59, ?, 94, 158, 283
a) 52
b) 56
c) 61
d) 62
e) 67
2) 39, 26, 47, 18, ? , 10
a) 50
b) 52
c) 48
d) 55
e) 37
3) 96, 480, 120, 600, ? , 750
a) 140
b) 150
c) 100
d) 200
e) 250
4) 85, 106, 74, 119, ? , 136
a) 59
b) 65
c) 42
d) 79
e) 58
5) 25, 35, 75, 165, ?, 575
a) 200
b) 300
c) 250
d) 325
e) 425
Caselet
Directions (6 – 10): Study the following information carefully and answer the given questions?
A company manufactures three types of product viz. Product A, B, C. In the year 2018, the company manufactured a total 16000 products. Out of the total products some are of plastic material and some are of metallic material.
35% of the total products are product B. Ratio of plastic and metallic products in product B is 4: 3. Number of Plastic materials of product A is 10% more than the number of plastic products of product B. Ratio of metallic materials of product C and the number of plastic materials of product A is 3: 5 respectively. Number of Metallic materials of product A is 20% less than the number of metallic materials of product B.
6) Find the difference between the plastic materials and the metallic materials of product C?
a) 694
b) 784
c) 796
d) 736
e) 682
7) Find the respective ratio of number of metallic materials of product A and number of metallic materials of product B?
a) 1: 2
b) 3: 2
c) 4: 5
d) 2: 5
e) 5: 4
8) Find the total number of product A and product B?
a) 11000
b) 11020
c) 11080
d) 11010
e) 11040
9) Number of plastic materials of product A is approximately what percentage of total materials of product B?
a) 63 %
b) 72 %
c) 56 %
d) 44 %
e) 85 %
10) Find the difference between the Plastic materials of product B and the metallic materials of product A?
a) 1400
b) 1380
c) 1320
d) 1200
e) 1280
Answers :
Directions (1-5) :
1) Answer: E
59 + 2³ = 67
67 + 3³ = 94
94 + 4³ = 158
158 + 5³ = 283
2) Answer: D
39 – 13 = 26
26 + 21 = 47
47 – 29 = 18
18 + 37 = 55
55 – 45 = 10
3) Answer: B
96 * 5 = 480
480 / 4 = 120
120 * 5 = 600
600 / 4 = 150
150 * 5 = 750
4) Answer: A
85 + 7 * 3 = 106
106 – 8 * 4 = 74
74 + 9 * 5 = 119
119 – 10 * 6 = 59
59 + 11 * 7 = 136
(Or)
The alternative difference,
85 – 11 = 74, 74 – 15 = 59
106 + 13 = 119, 119 + 17 = 136
5) Answer: D
25 + 10 * 1² = 35
35 + 10 * 2² = 75
75 + 10 * 3² = 165
165 + 10 * 4² = 325
325 + 10 * 5² = 575
(Or)
The difference of difference is, 30, 50, 70, 90,…
Directions (6 – 10):
Total = 16000
35% of the total products are product B
Total products of B type = 35% 16000 = 5600
Ratio of plastic and metallic products in product B is 4:3
Plastic products of product B = 4/7 * 5600 = 3200
Metallic products of product B = 3/7 * 5600 = 2400
Plastic products of product A = 110% (number of plastic products of product B)
= > 110 % 3200 = 3520
Ratio of metallic products of product C and the number of plastic product of product A is 3:5 respectively
Metallic products of product C = 3/5 * 3520 = 2112
Number of Metallic products of product A = 80% of 2400 =1920
Total products of B = 5600
Total products of A = 3520 + 1920 = 5440
Total Products of C = 16000 – (5600 + 5440) = 4960
Total Plastic products of Product C = 4960 – 2112 = 2848
6) Answer: D
Difference between the plastic materials and the metallic materials of product C
= 2848 – 2112
=736
7) Answer: C
Required Ratio = 1920: 2400 = 4: 5
8) Answer: E
Total = 5440 + 5600 = 11040
9) Answer: A
Number of plastic materials of product A = 3520
Total product of B = 5600
Required percentage = (3520 / 5600) * 100 = 62.85 % ≈ 63%
10) Answer: E
Difference = 3200 – 1920 = 1280
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