Quantitative Aptitude Test 45

Quantitative Aptitude

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1. Three girls agreed to divide a bag of similar balls in the following way. The first girl took one more than half the balls. The second took a one third of the remaining and last girl found that she is left with twice as many balls as the second girl. The original number of balls was:

 
 
 
 

2. The number of zeroes that come at the end of 270! are:

 
 
 
 

3. The maximum value of f(x) = [x(x-1) + 1]1/3, 0 £ x £ 1

 
 
 
 

4. Find the number of digits in the number 416511, taking logs to the base 10.

 
 
 
 

5. There are two natural ways to inscribe a square in a given isosceles right triangle. If it is done as in fig 1 then area of square is 576 CM2. What is the area (in CM2) Of square inscribed in same triangle as in fig 2.

 
 
 
 

6. The length of the boundary of area grazed is (approximately):

 
 
 
 

7. Three circles with centres X, Y, Z each with radius 20 cms, intersect one another as shown in the figure. The length of AB = 12 cms, CD = 10 cms; and EF = 5 cms. What is the perimeter of triangle XYZ?

 
 
 
 

8. Read the problem carefully and answer the following (2 questions):
In a square lawn of side 15 m, two cows are tied by rope of length 10 m and 8 m respectively at the ends of same side of lawn.


The area grazed is (approximately):

 
 
 
 

9. The work done by x men in (n + 1) days is to work done by (x + 2) men in n days is as 9: 10. Find n.

 
 
 
 

10. A ball is dropped on the floor from a height of 50 m. Each time it rebounds it reaches 1/2 of its previous height attained. The least distance the ball would have travelled after which it would not able to reach above 1 m is:

 
 
 
 

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