1.
Two numbers are in the ratio of 4 : 9. If the mean proportional between them is 24, find the positive difference between the two numbers.
2.
What is the third proportional to 16 and 48?
3.
If 7A = 6B = 12C, What is A : B : C ?
4.
The ratio between two numbers is 19 : 24. If each number is reduced by 36, the ratio becomes 3 : 4. Find the sum of the numbers.
5.
Find the third proportional of (\(3 +\sqrt{2})\) and \(2\sqrt{7}\)
6.
The mean proportional between 2.8 and 0.7 is:
7.
Divide ₹4,800 among Ram, Shyam and Kartik in the ratio of 4 : 8 : 3. Find the amount received by Shyam.
8.
If F1 and F2 are the fourth proportional to\(\frac{2}{7},\frac{7}{12}\), 8 and \(\frac{5}{6},\frac{4}{3},10\), respectively, then what is F1 : F2?
9.
The ratio of the walking speeds of A and B is 3 : 5. If B takes 18 minutes to cover a certain distance, how much time will A take to cover the same distance?
10.
The third proportional to x and x + 100 is 405, find the value of x ( where x >100).
11.
If the third proportional of \(3x^2\) and 4xy is 48, then the positive value of y is :
12.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹ of the third variety of rice per kg will be:
13.
In a college, 20% of the number of boys are equal to the three-fourth of the number of girls. What is the ratio of boys and girls in that college ?
14.
The ratio of the present age of A and B is 3 : 1. Five years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be:
15.
The ratio of the present ages of Ram and Shyam is 3 : 4, and 4 years ago the ratio was 2 : 3. What will be the ratio of the ages of Ram and Shyam 4 years from now?
16.
If tea that costs ₹7.50 per kg is mixed with tea that costs ₹10.50 per kg in the proportion of 2 : 1 then, what is the cost (in ₹) of the resultant mixture per kg?
17.
A grocer mixes two varieties of tea worth ₹120/kg and ₹125/kg in a ratio to produce a new variety worth ₹122/kg. What is the ratio of the varieties to be mixed to obtain the new variety?
18.
In a park there are rabbits and pigeons in the ratio 4 : 9. If legs are counted, the total number of legs is 340. Find the number of rabbits.
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