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Arithmetic: Ratio and Proportion Test-5

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Question 1
The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?
A
97: 95
B
93: 95
C
95: 93
D
93: 97
Question 1 Explanation: 
Let the smallest number be 2x+1
The other numbers are 2x+3 and 2x+5
So,6x+9=285
x=46
So ratio is 93:97
Question 2
Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?
A
18
B
32
C
24
D
Cannot be determined
Question 2 Explanation: 
Let the numbers be x and y So,3/4×x=60/100×y We can find a relation between x and y but cant find the difference
Question 3
The present ages of A, Band C are In the ratio of 8: 14: 22 respectively. The present ages of B, C and D are in the ratio of 21: 33: 44 respectively. Which of the following represents the ratio of the present ages of A, B, C and D respectively?
A
12: 21: 33: 44
B
12: 22: 31: 44
C
12: 21: 36: 44
D
Cannot be determined
Question 3 Explanation: 
Present age ratio of A,B and C is 8:14:22 which can also be written as 24:42:66 Similarly, ages of B,C and D is 21:33:44 which can also be written as 42:66:88 So the ratio of ages is 24:42:66:88 which is equivalent to 12:21:33:44
Question 4
The ratio between the adjacent angles of a parallelogram is 7 : 8 respectively. Also the ratio between the angles of quadrilateral is 5 : 6 : 7 : 12.What is the sum of the smaller angle of parallelogram and second largest angle of the quadrilateral ?
A
168
B
228
C
1560
D
224
Question 4 Explanation: 
Let the common ratio of angles of parallelogram be x
As the opposite angles of a parallelogram are equal and the sum of adjacent angles is 180
7x+8x=180
x=12
The angles of the parallelogram are 84,96,84 and 96
Let the common ratio of angles of quadrilateral be y
Then 5y+6y+7y+12y=360
y=12
Second largest angle is 7y which is 84
So the sum is 168
Question 5
The ages of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their ages will be 13 ; 9. What Is the difference In years between their ages?
A
4 years
B
12 years
C
6 years
D
8 years
Question 5 Explanation: 
Let the ratio of present ages be x
Then, age of Sonal=9x
Age of Nitya=5x
So after 8 years,(9x+8)/(5x+8)=13/9
81x+72=65x+104
x=2
Difference between their ages is 4x=8
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