Out of two -thirds of the total number of basket-ball matches, a team has won 17 matches and lost 3 of them. What is the maximum number of matches that the team can lose and still win three-fourths of the
total number of matches, if it is true that no match can end in a tie?
The team has already played 17 (won) + 3 (lost) = 20 matches. These constitute two-thirds of the total matches.
Thus the total number of matches is 30. If the team is supposed to win three-fourths of these, it has to win 22.5, i.e.
23 matches in all. There are (30 - 20) = 10 matches remaining. So the team has to win (23 - 17) = 6 of these 10
matches, i.e. it can lose no more than (10 - 6) = 4 matches.
These questions are based on the situation given below:
Rajiv reaches city B from city A in 4 hours, driving at the speed of 35 km per hour for the first 2 hours and at 45 km per hour for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 km per hour, covering an equal distance in each speed segment. The two cars are similar with petrol consumption characteristics (km per litre) shown in the figure below.
Q. No. :
3
Question :
The amount of petrol consumed by Aditi for the journey is
A :
8.3
B :
8.6
C :
8.9
D :
9.2
Answer: C
Q. No. :
4
Question :
Zoheb would like to drive Aditi's car over the same route from A to B and minimize the petrol consumption for the trip. The amount of petrol required by him is
A :
6.67 Litres
B :
6.33 Litres
C :
7 Litres
D :
6.0 Litres
Answer: A
Q. No. :
5
Question :
If the radius of a circle is decreased by 25% its area will decrease by
Let original radius = r , original area = p *r2 New radius = 3r/4 m, New area = p (3r/4)2
= p *r2/16
Decrease in area = p* r2 - 9p r2/16
= 7 p r2/16
Decrease % =m 7 p* r2 * 1/ p r2* 100
= 43.75%
Q. No. :
6
Question :
Forty percent of the employees of a certain company are men, and 75 percent of the men more than Rs. 25,000 per year. If 45 percent of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn Rs. 25,000 year or less'?
Let there are 100 employees. No of men = 40 No of women = 60 No of men earning 25000 or less = 40/4 = 10 No of employees earning 25000 or less = 55 No of women earning 25000 or less = 55 - 10 = 45 Fraction of women = 45/60 = 3/4
