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[WpProQuiz 6937]Directions (1 – 5): Study the following information carefully and answer the questions given below:
The following pie chart represents percentage wise distribution of number of refrigerators of five different companies sold by an electronic shop in 2017.
Total number of refrigerators of five different companies sold by the electronic shop in 2017 = 6000
All the refrigerators are either of small size or big size. The following bar graph represents percentage of small size refrigerators among them.
1) Find the respective ratio of the number of small size Godrej refrigerators sold by the shop in 2017 and number of big size LG refrigerators sold by the shop in that year.
a) 7:19
b) 9:17
c) 11:21
d) 13:19
e) None of these
2) Number of big size Voltas refrigerators sold by the shop in 2016 was 20% less than that of in 2017. Find the number of big size Voltas refrigerators sold by the shop in 2016.
a) 712
b) 548
c) 624
d) 728
e) None of these
3) Find the average of the number of small size Samsung refrigerators and number of small size LG refrigerators sold by the shop in 2017.
a) 351
b) 413
c) 381
d) 453
e) None of these
4) Number of Voltas refrigerators sold by the shop in 2016 was 25% more than that of in 2017 and out of them 35% are of small size. Find the number of big size Voltas refrigerators sold by the shop in 2016.
a) 685
b) 975
c) 855
d) 575
e) None of these
5) Number of big size refrigerators of which company sold by the shop in 2017 is maximum?
a) Godrej
b) Samsung
c) LG
d) Voltas
e) Whirlpool
Directions (6 – 10): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer,
6) I) 5x² – 16x + 11 = 0
II) 3y² + 19y + 30 = 0
a) If x > y
b) If x < y
c) If x ≥ y
d) If x ≤ y
e) If x = y or relation between x and y cannot be determined.
7) I) 2x²+3x – 20=0
II) 5y2 – 3y – 2 = 0
a) If x > y
b) If x < y
c) If x ≥ y
d) If x ≤ y
e) If x = y or relation between x and y cannot be determined.
8) I) 4x2 + 12x + 9 = 0
II) y² – 10y + 21 = 0
a) If x > y
b) If x < y
c) If x ≥ y
d) If x ≤ y
e) If x = y or relation between x and y cannot be determined.
9) I) 3x² + 12x + 9 = 0
II) 2y2 – 7y + 6 = 0
a) If x > y
b) If x < y
c) If x ≥ y
d) If x ≤ y
e) If x = y or relation between x and y cannot be determined.
10) I) x2 – 52x + 667 = 0
II) 2y2 + 20y + 50 = 0
a) If x > y
b) If x < y
c) If x ≥ y
d) If x ≤ y
e) If x = y or relation between x and y cannot be determined.
Answers :
Direction (1-5) :
1) Answer: c)
Number of small size Godrej refrigerators sold by the shop in 2017
= 25/100 x 22/100 x 6000
= 330
Number of big size LG refrigerators sold by the shop in 2017
= (100 – 30)/100 x 15/100 x 6000
= 70/100 x 15/100 x 6000
= 630
Required ratio = 330 : 630
= 11:21
2) Answer: c)
Number of big size Voltas refrigerators sold by the shop in 2017
= (100 – 35)/100 x 20/100 x 6000
= 65/100 x 20/100 x 6000
= 780
Number of big size Voltas refrigerators sold by the shop in 2016 = 780 x 80/100
= 624
3) Answer: a)
Number of small size Samsung refrigerators sold by the shop in 2017 = 40/100 x 18/100 x 6000
= 432
Number of small size LG refrigerators sold by the shop in 2017 = 30/100 x 15/100 x 6000
= 270
Required average = (432 + 270)/2
= 351
4) Answer: b)
Number of Voltas refrigerators sold by the shop in 2016 = 20/100 x 6000 x 125/100
= 1500
Number of big size Voltas refrigerators sold by the shop in 2016 = (100 – 35)/100 x 1500
= 65/100 x 1500
= 975
5) Answer: e)
Number of big size Godrej refrigerators sold by the shop in 2017
= (100 – 25)/100 x 22/100 x 6000
= 75/100 x 22/100 x 6000
= 990
Number of big size Samsung refrigerators sold by the shop in 2017
= (100 – 40)/100 x 18/100 x 6000
= 60/100 x 18/100 x 6000
= 648
Number of big size LG refrigerators sold by the shop in 2017
= (100 – 30)/100 x 15/100 x 6000
= 70/100 x 15/100 x 6000
= 630
Number of big size Voltas refrigerators sold by the shop in 2017
= (100 – 35)/100 x 20/100 x 6000
= 65/100 x 20/100 x 6000
= 780
Number of big size Whirlpool refrigerators sold by the shop in 2017
= (100 – 20)/100 x 25/100 x 6000
= 80/100 x 25/100 x 6000
= 1200 (Maximum)
Directions (6 – 10):
6) Answer: a)
I) 5x² – 16x + 11 = 0
=> 5x2 – 5x – 11x + 11 = 0
=> 5x(x – 1) – 11(x – 1) = 0
=> (5x – 11)(x – 1) = 0
=> x = 11/5, 1
II) 3y² + 19y + 30 = 0
=> 3y2 + 9y + 10y + 30 = 0
=> 3y(y + 3) + 10(y + 3) = 0
=> (3y + 10)(y + 3) = 0
=> y = -10/3, -3
Hence, x > y
7) Answer: e)
I) 2x²+3x – 20=0
=> 2x2 + 8x – 5x – 20 = 0
=> 2x(x + 4) – 5(x + 4) = 0
=> (2x – 5)(x + 4) = 0
=> x = 5/2, -4
II) 5y2 – 3y – 2 = 0
=> 5y2 – 5y + 2y – 2 = 0
=> 5y(y – 1) + 2(y – 1) = 0
=> (5y + 2)(y – 1) = 0
=> y = -2/5, 1
Hence, relation between x and y cannot be determined.
8) Answer: b)
I) 4x2 + 12x + 9 = 0
=> 4x2 + 6x + 6x + 9 = 0
=>2x(2x + 3) + 3(2x + 3) = 0
=> (2x + 3)(2x + 3) = 0
=> x = -3/2, -3/2
II) y² – 10y + 21 = 0
=> y2 – 3y – 7y + 21 = 0
=>y(y – 3) – 7(y – 3) = 0
=> (y – 7)(y – 3) = 0
=> y = 7, 3
Hence, x < y
9) Answer: b)
I) 3x² + 12x + 9 = 0
=> 3x2 + 3x + 9x + 9 = 0
=> 3x(x + 1) + 9(x + 1) = 0
=> (3x + 9)(x + 1) = 0
=> x = -3, -1
II) 2y2 – 7y + 6 = 0
=> 2y2 – 3y – 4y + 6 = 0
=>y(2y – 3) – 2(2y – 3) = 0
=> (y – 2)(2y – 3) = 0
=> y = 2, 3/2
Hence, x < y
10) Answer: a)
I) x2 – 52x + 667 = 0
=>x2 – 23x – 29x + 667 = 0
=>x(x – 23) – 29(x – 23) = 0
=> (x – 29)(x – 23) = 0
=> x = 29, 23
II) 2y2 + 20y + 50 = 0
=> 2y2 + 10y + 10y + 50 = 0
=> 2y(y + 5) + 10(y + 5) = 0
=> (2y + 10)(y + 5) = 0
=> y = -5, -5
Hence, x > y
