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[WpProQuiz 6811]
1) A, B and C started a business by investing 1500, 2500 and 3500 respectively. They invested for 4, 5 and 6 months respectively. Â If 5.2% of the total profit goes to charity and A’s share is Rs. 7200, then the total profit is?
a) Data in adequate
b) 40000
c) 50000
d) 28000
e) None of these
2) The product of the age of A, B and C is 5760. The ratio of ages of A and B is 3: 5 and A and C is 1: 2. Find sum of their age?
a) Data in adequate
b) 58
c) 56
d) 54
e) None of these
3) The ratio of boys and girls in a school is 4: 5. If 20% of boys and 30% of girls like Tamil, then find the ratio of boys and girls who did not like Tamil?
a) 32: 35
b) 35: 32
c) 1: 1
d) 4: 3
e) None of these
4) The area of a square is 1764 sq cm whose side is twice the radius of a circle. The circumference of the circle is equal to breadth of a rectangle, if perimeter of rectangle is 564 cm. What is the area of rectangle?
a) 19800 cm2
b) 19600 cm2
c) 18900 cm2
d) 16900 cm2
e) None of these
5) The ratio of the two numbers is 7: 4, the LCM of the number is 224. Find the product of this number?
a) 1684
b) 1456
c) 1792
d) 1487
e) None of these
Directions (6 – 10): Study the following information carefully and answer the questions given below:
6) If ratio of literate and illiterate males in city B is 4:3 respectively, find the percentage of literate females in city B.
a) 50.22%
b) 75.12%
c) 33.33%
d) 65.13%
e) None of these
7) Out of the illiterate population of city D, 30% are females. Find the percentage of literate males in city D.
a) 60%
b) 55%
c) 70%
d) 45%
e) None of these
8) Find the respective ratio of number of males in city A number of illiterates in city C.
a) 123: 128
b) 125: 128
c) 123: 125
d) 125: 127
e) None of these
9) Find the total number of literates in all the cities together.
a) 20400
b) 21600
c) 22500
d) 23700
e) None of these
10) Find the difference between total number of males and total number of females in all the cities.
a) 5300
b) 4200
c) 6200
d) 4800
e) None of these
Answers :
Direction (1-5) :
1) Answer: c)
Profit ratio = (1500 * 4): (2500 * 5): (3500 * 6)
= 12: 25: 42
Total profit = (7200/12) * (79/94.8) * 100 = 50000
2) Answer: c)
A: B: C = 3: 5: 6 (3x, 5x, 6x)
3x * 5x * 6x = 90x3 = 5760
x = 4
Required sum = 3 * 4 + 5 * 4 + 6 * 4 = 56
3) Answer: a)
Boys: Girls = 4: 5
Unlike Tamil = 4 * 80/100 : 5 * 70/100
= 32: 35
4) Answer: a)
Side of the square = √1764 = 42
Radius of circle = 42/2 = 21
Circumference = 2 * 22/7 * 21 = 132
Length of the rectangle = 564/2 – 132 = 150
Area of the rectangle = 132 * 150 = 19800 cm2
5) Answer: c)
HCF = 224/28 = 8
Product = 224 * 8 = 1792
Direction (6-10) :
6) Answer: c)
Number of males in city B = 7/13 x 5200 = 2800
Number of females in city B = 6/13 x 5200 = 2400
Total number of literates in city B = 85/100 x 5200 = 4420
Literate males in city B = 4/7 x 2800 = 1600
Literate females in city B = 2400 – 1600 = 800
Percentage of literate females = 800/2400 x 100 = 33.33%
7) Answer: c)
Illiterate population of city D = (100 – 75)/100 x 4800
= 25/100 x 4800
= 1200
Number of illiterate females = 30/100 x 1200 = 360
Number of illiterate males = 1200 – 360 = 840
Number of males in city D = 7/12 x 4800 = 2800
Number of literate males = 2800 – 840 = 1960
Percentage of literate males = 1960/2800 x 100
= 70%
8) Answer: b)
Number of males in city A = 5/9 x 4500 = 2500
Number of illiterates in city C = (100 – 60)/100 x 6400
= 40/100 x 6400
= 2560
Required ratio = 2500: 2560 = 125: 128
9) Answer: d)
Number of literates in city A = 56/100 x 4500 = 2520
Number of literates in city B = 85/100 x 5200 = 4420
Number of literates in city C = 60/100 x 6400 = 3840
Number of literates in city D = 75/100 x 4800 = 3600
Number of literates in city E = 70/100 x 5600 = 3920
Number of literates in city F = 90/100 x 6000 = 5400
Required sum = 2520 + 4420 + 3840 + 3600 + 3920 + 5400 = 23700
10) Answer: a)
Total number of males in all the cities = 5/9 x 4500 + 7/13 x 5200 + 5/8 x 6400 + 7/12 x 4800 + 4/7 x 5600 + 3/5 x 6000
= 2500 + 2800 + 4000 + 2800 + 3200 + 3600
= 18900
Total number of females in all the cities = 4/9 x 4500 + 6/13 x 5200 + 3/8 x 6400 + 5/12 x 4800 + 3/7 x 5600 + 2/5 x 6000
= 2000 + 2400 + 2400 + 2000 + 2400 + 2400
= 13600
Required difference = 18900 – 13600 = 5300
