RATIO AND PROPORTION TEST FOR CA FOUNDATION

Problem 1 :

The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. Find the age of the youngest boy.

Solution

Problem 2 :

If the angles of a triangle are in the ratio 2 : 7 : 11, then find the angles.

Solution

Problem 3 :

Two numbers are respectively 20% and 50% are more than a third number, Find the ratio of the two numbers.

Solution

Problem 4 :

If $782 is divided among three persons A, B and C in the ratio 1/2 : 2/3 : 3/4, then find the share of A.

Solution

Problem 5 :

An amount of money is to be divided among P, Q and R in the ratio 3 : 7 : 12. The difference between the shares of P and Q is $2400. What will be the difference the shares of Q and R?

Solution

Problem 6 :

Carter's SUV requires 8 gallons of gasoline to travel 148 miles. How many gasoline, to the nearest gallon, will he need for 500 mile trip?

Solution

Problem 7 :

If 5x : 3 = (x + 14) : 2, what is the value of x?

Solution

Problem 8 :

If 15 people can repair a road of length 150 meters, at the same rate, how many people are needed to repair a road of length 420 meters.

Solution

Problem 9 :

John weighs 56.7 kilograms. If he is going to reduce his weight in the ratio 7 : 6, find his new weight.

Solution

Problem 10 :

If a : b = c : d = 2.5 : 1.5, what are the values of ad : bc and a + c : b + d?

Solution

Answer Key

1) age of the youngest boy is 15 years.

2) 18°, 63°, 99°

3)  the ratio of two number is 4 : 5.

4) share of A is $204.

5)  The share difference between Q and R is $3000.

6)  So, Carter needs 27.02 gallons of gasoline for a 500 mile trip.

7)  x = 6

8) 42 people are needed to repair a road of length 420 meters.

9)  48.6 kg

10)  (a+b):(c+d= 5:3

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