Quantitative Aptitude Test 45

1. 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.

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The area grazed is (approximately):

2. 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.

3. 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.

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

5. 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?

6. 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:

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

8. 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:

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

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