Quantitative Aptitude Test 3

Quantitative Aptitude

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1. A is twice as efficient as B and, B is four times as efficient as C. A, B and C take’turns constructing a wall starting with A on day 1 followed by B then C and so on. If C alone can construct the wall in 120 days, what percentage of the wall is constructed by A?

 
 
 
 

2. There is a network of routes as shown in the figure given below where D is the mid-point of AC, AB is perpendicular to BC and AB = 100 km. Two persons x & y go from A to C, starting at the same time and reaching at the same time. X follows the path A-B-C with an average speed of 61.875 kmph, and Y follows the straight A-C, covering part AD at 45 kmph and part DC at 55 kmph.


What is the average speed of Y between AC?

 
 
 
 

3. What is the distance B-C?

 
 
 
 

4. A person buys some apples and mangoes from the market at a rate such that a mango is two times costlier than an apple and he sells them such that a mango is thrice the price of an apple. By selling the apple at twice its cost price, he makes the total of 150% profit. Find the proportion of mangoes to the apples.

 
 
 
 

5. Refer to the data below.
A, B, C and D are four banks giving compound interest at 12% per annum, 6% half Yearly, 4% four monthly and 3% quarterly respectively.


To maximise returns, I should invest in

 
 
 
 

6. What is the distance A-C?

 
 
 
 

7. In each question, you are given certain data followed by two statements. For answering the question.
Mark (a), if the question can be answered with the help of one of the statements, but not with the help of the other statement.
Mark (b), if the question can be answered with the help of either of the statements alone.
Mark (c), if the question can be answered only with the help of both the statements.
Mark (d), if the question can not be answered even with the help of both the statements together.


A farmer has two types of seeds, black and white. Both of them produce the plants of their own colours. The black plant produces black and red coloured flowers while the white plant produces white and red coloured flowers. If the farmer plants hundred seeds and all of them produce one plant each then what is the number of black seeds planted?

1. The number of red flowers is 70.
2. The number of plants with black flowers is ten.

 
 
 
 

8. The units digit of a 3-digit number is square of the hundred’s digit. Which of the following can be the difference between the number and the number formed by reversing the order of the digits?

 
 
 
 

9. If B, C, and D all pay out interests, half yearly, four-monthly and quarterly which is withdrawn by the investor, then maximum returns is from

 
 
 
 

10. What is the volume of the spherical tank?

1. The thickness of the wall is 1 cm.
2. When immersed in water it displaces 20 litres of it.

 
 
 
 

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