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Data Interpretation
Directions (1 – 5): Study the following information carefully and answer the questions given below?
The first pie chart shows the total number of students in five different colleges and the second pie chart shows the number of boys in different colleges.
1) What is the difference between the number of girls in A and E?
a) 20
b) 40
c) 50
d) 60
e) None of these
2) Which of the following colleges has the same number of girl students?
a) A and C
b) C and D
c) E and A
d) B and E
e) None of these
3) The number of boys in D is approximately what percent of the total number of students in B?
a) 24%
b) 26%
c) 28%
d) 30%
e) 32%
4) What is the difference between the average number of boys and girls in all the colleges together?
a) 30
b) 20
c) 50
d) 60
e) None of these
5) The number of boys from B is approximately what percent of the number of boys in C?
a) 33.33%
b) 44.44%
c) 55.56%
d) 66.67%
e) 77.78%
Quadratic Equation
Directions (Q. 6 – 10): 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
6) I) x2 – x – 56 = 0
II) y2 – 17y + 70 = 0
Â
7) I) 4x2 + 36x + 77 = 0
II) 3y2 + 39y + 126 = 0
Â
8) I) 2x2 – 13x – 57 = 0
II) 3y2 – 14y – 69 = 0
9) I) 3x – 4y = 13
II) 2x – 3y = 11
Â
10) I) x2 – 18x – 243 = 0
II) y2 + 23y + 132 = 0
Answers :
Directions (1-5) :
1) Answer: C
Required difference = 205 – 155 = 50
2) Answer: B
College C and D has equal number of girl students.
3) Answer: B
Required percentage = 110/420 * 100 = 26%
4) Answer: E
Average number of boys = 1100/5 = 220
Average number of girls = (2000 – 1100)/5 = 900/5 = 180
Difference = 220 – 180 = 40
5) Answer: D
Required percentage = 220/330 * 100 = 66.67%
Directions (6-10) :
6) Answer: E
I) x2 – x – 56 = 0
(x + 7) (x – 8) = 0
x = -7, 8
II) y2 – 17y + 70 = 0
(y – 7) (y – 10) = 0
y = 7, 10
Relationship between x and y cannot be established.
7) Answer: A
I) 4x2 + 36x + 77 = 0
4x2 + 22x + 14x + 77 = 0
2x (2x + 11) + 7 (2x + 11) = 0
(2x + 7) (2x + 11) = 0
x = -3.5, -5.5
II) 3y2 + 39y + 126 = 0
3y2 + 18y + 21y + 126 = 0
3y (y + 6) + 21 (y + 6) = 0
(3y + 21) (y + 6) = 0
y = -7, -6
x > y
8) Answer: E
I) 2x2 – 11x – 57 = 0
2x2 + 6x – 19x – 57 = 0
2x (x + 3) – 19 (x + 3) = 0
(2x – 19) (x + 3) = 0
x = 9.5, -3
II) 3y2 – 14y – 69 = 0
3y2 + 9y – 23y – 69 = 0
3y (y + 3) – 23 (y + 3) = 0
(3y – 23) (y + 3) = 0
y = 23/3, -3
y = 7.66, -3
Can’t be determined
9) Answer: A
3x – 4y = 13 –> (1)
2x – 3y = 11 –> (2)
By solving the equation (1) and (2), we get,
x = -5, y = -7
x > y
10) Answer: A
I) x2 – 18x – 243 = 0
(x – 27) (x + 9) = 0
x = 27, -9
II) y2 + 23y + 132 = 0
(y + 11) (y + 12) = 0
y = -11, -12
x > y
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