# Quantitative Aptitude Quiz – 14 (Data Interpretation)

1.What is the average number of Units sold by all the Companies together ?
(A) 360
(B) 390
(C) 375
(D) 410
(E) None of these

2. Which Company had the highest percentage of sale with respect to its production ?
(A) D
(B) B
(C) E
(D) A
(E) None of these

3. What is the average number of Units produced by all the Companies together ?
(A) 675
(B) 650
(C) 625
(D) 600
(E) None of these

4. The total units sold by the Companies A, B and C together is approximately what percent of the total units produced by these Companies ?
(A) 62
(B) 50
(C) 76
(D) 84
(E) 58

5. What is the respective ratio of the total production of companies D and E to the total sale of the same Companies ?
(A) 28 : 15
(B) 9 : 5
(C) 15 : 11
(D) 2 : 3
(E) None of these 6. What is the total number of Males working in all Departments together ?
(A) 755
(B) 925
(C) 836
(D) 784
(E) None of these

7. What is the number of Females working in the HR department ?
(A) 158
(B) 128
(C) 136
(D) 144
(E) None of these

8. What is the respective ratio of total number of employees working in the production department to those working in the Merchan dising department ?
(A) 15 : 14
(B) 8 : 7
(C) 14 : 15
(D) 7 : 8
(E) None of these

9. In which Department are the lowest number of Females working ?
(A) Marketing
(B) Production
(C) HR
(D) Finance
(E) None of these

10. What is the total number of employees from all Departments together in the Organization ?
(A) 1500
(B) 1575
(C) 1525
(D) 1625
(E) None of these

Direction: In the following questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer :
1) If x > y
2) If x >= y
3) If x < y
4) If x <= y
5) If x = y or the relationship can’t be established.

11.
I. x = sqroot(1369)
II. y = cuberoot(29791)

12.
I. 8x – 3y = 31
II. 5x + 4y = 84

13.
I. 20x^2 – 79x + 77 = 0
II. 4y^2 + 9y – 28 = 0

14.
I. 6x^2 + 29x + 28 = 0
II. 6y^2 + 11y + 4 = 0

15.
I. x^2 + 3x – 54 = 0
II. y^2 + 4y – 77 = 0

Answers C, D, B, E, A, C, D, A, B, E,

11. 1;
x = sqroot(1369) = 37……………….. (I)
y = cuberoot(29791) = 31 ………………. (II)
x > y

12. 3;
Equn. (I) ×4 + equn (II) ×3
32 x – 12 y = 124
15 x + 12 y = 252
_____________
47 x = 376
4
x = 8 and from this y = 11
x < y

13. 2;
20 x^2 – 35 x – 44 x + 77 = 0
5 x (4 x – 7) – 11 (4 x – 7) = 0
(4x – 7) (5 x – 11) = 0
x = 7/4, 11/5

4 y^2 + 16 y – 7 y – 28 = 0
4 y (y + 4) – 7 (y + 4) = 0
(4 y – 7) (y + 4) = 0
y = – 4, 7/4
x >= y

14. 4;
6 x^2 + 8 x + 21 x + 28 = 0
2x (3 x + 4) + 7 (3x + 4) = 0
(3x + 4) (2 x + 7) = 0
x = -4/3, -7/2

6 y^2 + 3 y + 8 y + 4 = 0
3 y (2 y + 1) + 4 (2 y + 1) = 0
(3 y + 4) (2 y + 1) = 0
y = -4/3, -1/2
x <= y

15. 5;
x^2 + 9x – 6 x – 54 = 0
x (x + 9) –6 ( x + 9) = 0
x = 6, –9

y^2 + 11 y – 7 y – 77 = 0
y (y + 11) – 7 (y + 11) = 0
(y – 7) (y + 11) = 0
y = 7, –11
i.e. No relation between x & y