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## Arithmetic: Ratio and Proportion Test-3

Congratulations - you have completed Arithmetic: Ratio and Proportion Test-3.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
 Question 1
A sum of money is divided among A. B. C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs.2.580 more than the share of B. then what is the total amount of money of A and D has together?
 A Rs.5.676 B Rs.6.192 C Rs.6.708 D Rs.7.224
Question 1 Explanation:
Let the common ratio be x As share=3x Bs share=4x Cs share=9x Ds share=10x Given, 9x-4x=2.580 X=0.516 So 13x=6.708
 Question 2
Number of students in Arts and Science faculties in an institute are in the ratio of 5: 8 respectively. If 150 more students join Art faculty while 80 more students join Science faculty, the respective ratio becomes 3: 4. Originally what was the total number of students in both faculties together?
 A 1200 B 1400 C 1150 D none
Question 2 Explanation:
Let the original common ratio be x
Students in art=5x
Student in science=8x
So,(5x+150)/(8x+80)=3/4
x=90
Original strength 13x=1170
 Question 3
The angles of a quadrilateral are in the ratio of 2 : 4 : 7 : 5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle?
 A 80° B 60° C 120° D Cannot be determined
Question 3 Explanation:
Let the common ratio of the angles of quadrilateral be x
Smallest angle=2x
Also, 2x+4x+7x+5x=360
X=20
So the two angles of triangle are 40 and 80
The third angle=180-120=60
So the second largest angle=60
 Question 4
The ratio between the angles of a quadrilateral is 3 : 4 : 6 : 7. Half the second largest angle of the quadrilateral is equal to the smaller angle of a parallelogram. What is the value of adjacent angle of the parallelogram?
 A 136° B 126° C 94° D 96°
Question 4 Explanation:
Let the common ratio of the angles of quadrilateral be x
Second largest angle=6x
Also, 3x+4x+6x+7x=360
X=18
Thus,6x=108
Given angle of parallelogram=54
As the sum of adjacent angles of parallelogram is 180