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Quadratic equation
Directions (Q. 1 – 5): In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
1) I) x2 – 3x – 28 = 0
II) y2 – y – 72 = 0
2) I) 3x2 + 19x + 28 = 0
II) 2y2 + 13y + 21 = 0
3) I) 2x – 3y = -6
II) 3x + 4y = 25
4) I) 12x2– 37x + 21 = 0
II) 15y2 + 54y + 27 = 0
5) I) x2 + 3√7 x – 70 = 0
II) y2 + 2√3 y – 105 = 0
Data Interpretation
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions?
The following pie chart shows the total number of newspapers (Tamil + English) printed in the month of July 2018.
Total number of newspaper printed = 8 lakhs
6) If the total number of English newspaper printed in Hindu is 68 % of total number of newspaper printed in Hindu, then the total number of Tamil newspaper in Hindu is what percentage of total number of Dinamalar newspaper printed?
a) 52 %
b) 40 %
c) 48 %
d) 50 %
e) None of these
7) Find the ratio between the total number of Dina thanthi newspaper printed to that of total number of Indian express newspaper printed in the month of July 2018?
a) 5 : 7
b) 9 : 10
c) 3 : 5
d) 4 : 9
e) None of these
8) If the total number of Indian Express and Times of India newspaper printed in the month of August 2018 is increased by 25 % and 32 % respectively while comparing with July 2018, then find the difference between the total number of Indian Express newspaper to that of Times of India newspaper in August 2018?
a) 41560
b) 35270
c) 38900
d) 32320
e) None of these
9) Total number of Hindu newspaper printed in July 2018 is what percentage of total number of Indian Express newspaper printed in July 2018?
a) 120 %
b) 100 %
c) 110 %
d) 85 %
e) None of these
10) If the ratio between the English to that of Tamil newspaper in Dina thanthi and Hindu in July 2018 is 5 : 7 and 5 : 3 respectively, then find the average number of Dina thanthi and Hindu English newspaper printed in July 2018?
a) 80000
b) 75000
c) 90000
d) 70000
e) None of these
Answers :
Directions (1-5) :
1) Answer: e)
I) x2 – 3x – 28 = 0
(x + 4) (x – 7) = 0
X = -4, 7
II) y2 – y – 72 = 0
(y + 8) (y – 9) = 0
Y = -8, 9
Can’t be determined
2) Answer: e)
I) 3x2 + 19x + 28 = 0
3x2 + 12x + 7x + 28 = 0
3x (x + 4) + 7 (x + 4) = 0
(3x + 7) (x + 4) = 0
x = -7/3, -4 = -2.33, – 4
II) 2y2 + 13y + 21 = 0
2y2 + 6y + 7y + 21 = 0
2y (y + 3) + 7 (y + 3) = 0
(2y + 7) (y + 3) = 0
y = -7/2, -3 = -3.5, -3
Can’t be determined
3) Answer: c)
2x-3y = -6 –> (1)
3x + 4y = 25 –> (2)
By solving the equation (1) and (2),
x = 3, y = 4
x < y
4) Answer: a)
I) 12x2 – 37x + 21 = 0
12x2 – 28x – 9x + 21 = 0
4x (3x – 7) – 3 (3x – 7) = 0
(4x – 3) (3x – 7) = 0
x = ¾, 7/3 = 0.75, 2.33
II) 15y2 + 54y + 27 = 0
15y2 + 45y+ 9y + 27 = 0
15y (y + 3) + 9 (y + 3) = 0
(15y + 9) (y + 3) = 0
y = -9/15, -3 = -3/5, -3
x > y
5) Answer: e)
I) x2 + 3√7 x – 70 = 0
x2 + 5√7 x – 2√7 x – 70 = 0
(x + 5√7) (x – 2√7) = 0
x = 2√7, – 5√7
II) y2 + 2√3 y – 105 = 0
y2 + 7√3 y – 5√3 y – 105 = 0
(y + 7√3) (y – 5√3) = 0
y = 5√3, – 7√3
Can’t be determined
Directions (6-10) :
6) Answer: c)
The total number of Tamil newspaper printed in Hindu
= > 32 % of total number of newspaper printed in Hindu
= > (32/100) * (24/100) * 800000
= > 61440
Total number of newspaper printed in Dina malar
= > 800000 * (16/100)
= > 128000
Required % = (61440 / 128000) * 100 = 48 %
7) Answer: b)
The total number of Dina thanthi newspaper printed in July 2018
= > (18/100) * 800000
The total number of Indian express newspaper printed in July 2018
= > (20/100) * 800000
Required ratio = [(18/100) * 800000] : [(20/100) * 800000]
= > 9 : 10
8) Answer: d)
The total number of Indian Express printed in the month of August 2018
= > 800000 * (20/100) * (125/100) = 200000
The total number of Times of India newspaper printed in the month of August 2018
= > 800000 * (22/100) * (132/100) = 232320
Required difference = 232320 – 200000 = 32320
9) Answer: a)
Required % = (24 / 20) * 100 = 120 %
10) Answer: c)
The ratio between the English to that of Tamil newspaper in Dina thanthi in July 2018 = 5 : 7
The ratio between the English to that of Tamil newspaper in Hindu in July 2018 = 5 : 3
The total number of Dina thanthi and Hindu English newspaper printed in July 2018
= > 800000 * (18/100) * (5/12) + 800000 * (24/100) * (5/8)
= > 60000 + 120000 = 180000
Required average = 180000 / 2 = 90000
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This post was last modified on November 5, 2021 10:01 pm