>> Aptitude >> Ratio and Proportions

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Contents:

- Aptitude
- Approximation
- Average
- Boat and Stream
- Compound interest
- Discount
- Linear Equations
- Mensuration
- Mixture and Allegation
- Number series
- Number System
- Partnership
- Percentage
- Permutation and combination
- Pipes and Cisterns
- Probability
- Problem on ages
- Profit and Loss
- Ratio and Proportions
- Simple and compound interest
- Time and Distance
- Time and work
- Trains
- Unitary Method
- Word problems
- Work and Wages

1). If A : B = a : b and B : C = p : q, then A : C is equal to
\( \Large\frac{A}{C} = \frac{A}{B} . \frac{B}{C} = \frac{a}{b} . \frac{p}{q} = \frac{ap}{bq} \) | ||||

2). If A : B = m : n, B : C = p : q and C : D = r : s, then D : A is equal to
\( \Large\frac{D}{A} = \frac{B}{A} . \frac{C}{B} . \frac{D}{C} = \frac{n}{m} . \frac{q}{p} . \frac{s}{r} = \frac{nqs}{mpr} \) | ||||

3). Rs. 16000 are to be distributed between B and A such that B gets Rs 4000 less than A The ratio of the amount received by A to that received by B is
Let A gets RS. x, then B gets rs (x - 4000). | ||||

4). The mean proportion between 72 and 128 is
Correct Answer: 96
. 72 : x = x : 128 | ||||

5). A sum of Rs 2000 is divided into two parts such that one part is invested at 10 % pa, simple interest and the second part at 15% pa, simple interest. After 2 years, if Rs. 460 are received as interest, then the ration of investments of first and second part is
Let Rs x invested at 10 % simple interest. Then Rs. (2000 - x) are invested at the rate of 15% simple interest | ||||

6). Two cones have their heights in the ratiio 1 : 4 and the radii of their bases are in the ratio 3 : 1. The ratio of their volume is
Let height of the cones are h and 3h and radii of their base are 3r and r respectively. | ||||

7). If a carton containing a dozen glass is dropped, which of the following cannot be the ratio of unbroken glasses to broken glasses
For dividing 12 into two whole number, sum of the terms of the ratio must be a factor of 12. So, they cannot be in the ratio 3 : 2 | ||||

8). A tiny money bank containing Rs. 1, 50paise and 25 paise coins in the ratio 1 : 2 : 3. If their total value is Rs 154, then the number of 25 paise coins is
Ratio of the values of given coins = 4 : 4 : 3 | ||||

9). The annual salary of A, B, C is in the proportion of 3 : 4 : 5. If C's annual salary is Rs 80000 more than that of A, then B's monthly salary is
Let annual salary of A, B, C respectively be 3x, 4x and 5x. | ||||

10). If radi of two cylinders are in the ration 3 : 2 and their height in the ratio 4 : 3, then ratio of their volumes is
Let radii of two cylinders respectively be 3r and 2r and their heights be 4h and 3h. |