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Data Interpretation
Directions (1 – 5): Study the following information carefully and answer the questions given below?
The following pie chart represents percentage wise distribution of total number of people in a town having different profession.
The following bar graph represents percentage of males among them.
1) If number of Engineers in the town is 1200, find the respective ratio of number of male doctors and number of female teachers in the town?
a) 7:47
b) 9:49
c) 11:53
d) 16:55
e) None of these
2) If number of male teachers in the town is 1350, find the average of the number of doctors, architects and number of people having other professions in the town.
a) 2400
b) 2000
c) 2500
d) 2800
e) None of these
3) If total number of people in the town is 20000, find the total number of males in the town?
a) 6000
b) 7220
c) 8440
d) 9660
e) None of these
4) Find the number of Carpenters in the town?
Statement I: Number of Carpenters in the town is 10% of the number of people having other professions in the town.
Statement II: Number of male Architects in the town is 3600.
a) If the data in statement I alone are sufficient.
b) If the data in statement II alone are sufficient.
c) If the data either in statement I alone or statement II alone are sufficient to answer.
d) If the data given in both I and II together are not sufficient.
e) If the data in both the statements I and II together are necessary to answer.
5) Find the respective ratio of number of female Tailors in the town and number of female doctors in the town.
Statement I: 35% of the total number of Tailors are females.
Statement II: 15% of the number of people having other profession in the town are Tailors.
a) If the data in statement I alone are sufficient.
b) If the data in statement II alone are sufficient.
c) If the data either in statement I alone or statement II alone are sufficient to answer.
d) If the data given in both I and II together are not sufficient.
e) If the data in both the statements I and II together are necessary to answer.
Quadratic equation
Directions (6 – 10): In each of the following questions, two equations are given. You have to solve these equations to find the relation between x and y and give answer as,
a) If x < y
b) If x > y
c) If x ≤ y
d) If x ≥ y
e) If relationship between x and y cannot be determined
6) I) 8x2 – 15x + 7 = 0
II) 2y2 – 15y + 28 = 0
Â
7) I) 2x2 – 7x + 6 = 0
II) y2 + 13y + 42 = 0
Â
8) I) 2x2 – 9x + 9 = 0
II) 8y2+ 34y + 21 = 0
Â
9) I) 2x2 – 13x + 15 = 0
II) 3y2 + 28y + 65 = 0
Â
10) I) x2 = 2401
II) y3 = 117649
Answers :
Directions (1-5) :
1) Answer: D
Total number of people in the town = 100/15 x 1200 = 8000
Number of male doctors in the town = 40/100 x 10/100 x 8000 = 320
Number of female teachers in the town = (100 – 45)/100 x 25/100 x 8000
= 55/100 x 25/100 x 8000
= 1100
Required ratio = 320: 1100 = 16:55
2) Answer: A
Let, total number of people in the town = k
45/100 x 25/100 x k = 1350
=> k = 1350 x 100/25 x 100/45
=> k = 12000
Number of doctors in the town = 10/100 x 12000 = 1200
Number of architects in the town = 24/100 x 12000 = 2880
Number of people having other professions in the town = 26/100 x 12000
= 3120
Required average = (1200 + 2880 + 3120)/3
= 7200/3
= 2400
3) Answer: D
Number of male doctors in the town = 40/100 x 10/100 x 20000 = 800
Number of male Engineers in the town = 55/100 x 15/100 x 20000 = 1650
Number of male Teachers in the town = 45/100 x 25/100 x 20000 = 2250
Number of male Architects in the town = 60/100 x 24/100 x 20000 = 2880
Number of males in the town having other professions
= 40/100 x 26/100 x 20000 = 2080
Required sum = 800 + 1650 + 2250 + 2880 + 2080 = 9660
4) Answer: E
From I:
Number of Carpenters in the town is 10% of the number of people having other professions in the town.
From II:
Let, total number of people in the town = k
60/100 x 24/100 x k = 3600
=> k = 3600 x 100/24 x 100/60
=> k = 25000
From I and II:
Number of Carpenters in the town = 10/100 x 26/100 x 25000 = 650
Hence, data in both the statements I and II together are necessary to answer.
5) Answer: E
From I:
35% of the total number of Tailors are females.
From II:
15% of the number of people having other profession in the town are Tailors.
From I and II:
Let, total number of people in the town = n
Number of female Tailors in the town= 35/100 x 15/100 x 26/100 x n
Number of female Doctors in the town = 60/100 x 10/100 x n
Required ratio = 35/100 x 15/100 x 26/100 x n : 60/100 x 10/100 x n
= 91:400
Hence, data in both the statements I and II together are necessary to answer.
Directions (6-10) :
6) Answer: A
I) 8x2 – 15x + 7 = 0
=> 8x2 – 8x – 7x + 7 = 0
=> 8x(x – 1) – 7(x – 1) = 0
=> (8x – 7)(x – 1) = 0
=> x = 7/8, 1
II) 2y2 – 15y + 28 = 0
=> 2y2 – 8y – 7y + 28 = 0
=> 2y(y – 4) – 7(y – 4) = 0
=> (2y – 7)(y – 4) = 0
=> y = 7/2, 4
Hence, x < y
7) Answer: B
I) 2x2 – 7x + 6 = 0
=> 2x2 – 4x – 3x + 6 = 0
=> 2x(x – 2) – 3(x – 2) = 0
=> (2x – 3)(x – 2) = 0
=> x = 3/2, 2
II) y2 + 13y + 42 = 0
=> y2 + 6y + 7y + 42 = 0
=> y(y + 6) + 7(y + 6) = 0
=> (y + 7)(y + 6) = 0
=> y = -7, -6
Hence, x > y
8) Answer: B
I) 2x2– 9x + 9 = 0
=> 2x2 – 6x – 3x + 9 = 0
=> 2x(x – 3) – 3(x – 3) = 0
=> (2x – 3)(x – 3) = 0
=> x = 3/2, 3
II) 8y2+ 34y + 21 = 0
=> 8y2 + 28y + 6y + 21 = 0
=> 4y(2y + 7) + 3(2y + 7) = 0
=> (4y + 3)(2y + 7) = 0
=> y = -3/4, -7/2
Hence, x > y
9) Answer: B
I) 2x2 – 13x + 15 = 0
=> 2x2 – 10x – 3x + 15 = 0
=> 2x(x – 5) – 3(x – 5) = 0
=> (2x – 3)(x – 5) = 0
=> x = 3/2, 5
II) 3y2 + 28y + 65 = 0
=> 3y2 + 15y + 13y + 65 = 0
=> 3y(y + 5) + 13(y + 5) = 0
=> (3y + 13)(y + 5) = 0
=> y = -13/3, -5
Hence, x > y
10) Answer: C
I) x2 = 2401
=> x = ± √2401
=> x = ± 49
II) y3 = 117649
=> y = ∛117649
=> y = 49
Hence, x ≤ y
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