59
Q:

# If the ratio of the ages of two friends A and B is in the ratio 3 : 5 and that of B and C is 3 : 5 and the sum of their ages is 147, then how old is B?

 A) 27 Years B) 75 Years C) 45 Years D) 49 Years

Explanation:

The ratio of the ages of A and B is 3 : 5.
The ratio of the ages of B and C is 3 : 5.

B's age is the common link to both these ratio. Therefore, if we make the numerical value of the ratio of B's age in both the ratios same, then we can compare the ages of all 3 in a single ratio.

The can be done by getting the value of B in both ratios to be the LCM of 3 and 5 i.e., 15.

The first ratio between A and B will therefore be 9 : 15 and
the second ratio between B and C will be 15 : 25.

Now combining the two ratios, we get A : B : C = 9 : 15 : 25.

Let their ages be 9x, 15x and 25x.
Then, the sum of their ages will be 9x + 15x + 25x = 49x

The question states that the sum of their ages is 147.
i.e., 49x = 147 or x = 3.

Therefore, B's age = 15x = 15*3 = 45

Subject: Ratios and Proportions
Exam Prep: GRE
Q:

If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : Z?

 A) 105 : 50 : 84 B) 24 : 25 : 32 C) 15 : 21 : 25 D) 20 : 42 : 25

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

6 10126
Q:

If 3A = 2B = C, then A : B : C = ?

 A) 6 : 2 : 3 B) 1/3 : 1/2 : 1 C) 3 : 2 : 1 D) 1 : 3 : 2

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 1037
Q:

The ratio of the number of marbles that Pulak and Menaja had was 5:9 while the ratio of the number of marbles that Jairam and Menaja had was 7:18. What is the ratio of the number of marbles that Pulak and Jairam had?

 A) 10:7 B) 2:3 C) 5:7 D) 7:5

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

4 881
Q:

Two numbers are in ratio 3:4. When 3 is subtracted from both the numbers, the ratio becomes 2:3. Find the sum of the numbers.

 A) 16 B) 20 C) 21 D) 22

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 860
Q:

If 3/5 of x is equal to 4/9 of y, then what is the ratio of x and y?

 A) 11 : 15 B) 15 : 23 C) 20 : 27 D) 14 : 25

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 11252
Q:

If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

 A) 5 : 2 B) 10 : 17 C) 9 : 4 D) 5 : 4

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

4 8252
Q:

Three triangles are marked out of a bigger triangle at the three vertices such that each side of each of the smaller triangles is one-third as long as each corresponding side of the bigger triangle. The ratio of the area of the three small triangles taken together to that of the rest of the bigger triangle is ?

 A) 1:2 B) 1:3 C) 3:1 D) 1:9

Explanation:

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 822
Q:

If w : 0.80 :: 9 : 6, w = ?

 A) 2.5 B) 1.1 C) 3.3 D) 1.2