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Direction: Study the following information carefully and answer the question given below:
The number of males in company A is 50 more than that of females, and the number of females in company A is 25% of the total number of females in all three companies (A, B and C). The number of males in company B is 360, which is 44% more than that in company A, and the ratio of the number of females in companies B and C is 7 : 8 respectively. The average number of males in all three companies is 290.
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The number of females in company B is what percent of the number of males in company A?
The number of males in company B = 360
The sum of the number of males in company A, B and C = 290 × 3 = 870
The number of males in company C = 870 – 360 – 250 = 260
The number of females in company A = 250 – 50 = 200
Let the number of females in company B be 7x.
The number of females in company C = 8x
According to the data provided in the question, we get:
200 + 7x + 8x = 800
⇒ 15x = 600
⇒ x = 40
The number of females in company B = 7 × 40 = 280
The number of females in company C = 8 × 40 = 320
What is the number of males in company C?
The number of males in company C = 260
Find out the wrong term in the series
6, 4, 5, 9, 20, 52.5, 160.5
The pattern of the series is:
7 × 0.5 + 0.5 = 4
4 × 1 + 1 = 5
5 × 1.5 + 1.5 = 9
9 × 2 + 2 = 20
20 × 2.5 + 2.5 = 52.5
52.5 × 3 + 3 = 160.5
Hence, the wrong number is 6.
In the following series one number is wrong, Find the wrong number in the series.
6, 12, 24, 46, 74, 116
6 + 22 + 2 = 12
12 + 32 + 3 = 24
24 + 42 + 4 = 44
44 + 52 + 5 = 74
74 + 62 + 6 = 116 Hence, the incorrect number is 46.
In the given series, one number doesn't fit the pattern. Find the wrong number that doesn't fit the pattern.
3, 41, 64, 82, 88, 95, 94
Pattern of the series is:
3 + 62 + 2 = 41
41 + 52 − 2 = 64
64 + 42 + 2 = 82
82 + 32 − 2 = 89
89 + 22 + 2 = 95
95 + 12 − 2 = 94
Find the wrong term in the given series:
442, 218, 106, 50, 20, 8, 1
(442 – 6) × 0.5 = 218
(218 – 6) × 0.5 = 106
(106 – 6) × 0.5 = 50
(50 – 6) × 0.5 = 22
(22 – 6) × 0.5 = 8
(8 – 6) × 0.5 = 1 Hence, the incorrect number is 20.
79, 50, 37, 30, 26.5, 24.75
79 – 28 = 51
51 – 14 = 37
37 – 7 = 30
30 – 3.5 = 26.5
26.5 – 1.75 = 24.75 Hence, the wrong number is 50.
In the following number series, only one number is wrong. Find out the wrong number.
3, 8, 29, 154, 923, 6460
3 × 3 – 1 = 8
8 × 4 – 1 = 31
31 × 5 – 1 = 154 154 × 6 – 1 = 923 923 × 7 – 1 = 6460
Hence, the wrong number is 29.
The average age of a family of 13 members is 24 years. If the age of the youngest member of the family is 12 years. Then the average age of the members of the family just before the birth of the youngest member was?
Sum of the age of 13 members = 13 × 24 = 312 years
Total age of 12 members, 12 years ago = 312 – (12 × 12 + 12) = 156 years
Required average = 156/12 = 13 years
The simple interest on a sum of money will be Rs. 600 after 10 years. If the principal is made 4 times after fifth year, what will be the total interest at the end of the tenth year?
S.I. for 1 year = 600/10 = Rs. 60
Therefore, S.I. for 5 years = 60 × 5 = Rs. 300
Now, as per the question if the principal is made four times, the interest will also become four times.
Therefore, S.I. for next 5 years = 60 × 5 × 4 = Rs. 1200
Hence, total interest after 10 years = 300 + 1200 = Rs. 1500
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