Quantitative Aptitude

1. The profit earned after selling an article for Rs. 1,754 is the same as loss incurred after selling the article for Rs. 1,492. What is the cost price of the article?
(1) Rs. 1,623
(2) Rs. 1,523
(3) Rs. 1,689
(4) Rs. 1,589
(5) None of these

2. Rubina decide to donate 16% of his monthly salary to an NGO. On the day of donation she changed her mind and donated Rs. 6,567 which was 75% of what she had decide earlier. How much is Rubinan's salary
(1) Rs. 8,756.
(2) Rs. 54,725
(3) Rs. 6,56,700
(4) Rs. 45,696
(5) None of the above

3. A car covers a distance of 816 kms. in 720 minutes. What is the speed of the car in kms./hr.?
(1) 64 km/hr
(2) 62 km/hr
(3) 68 km/hr
(4) 65 km/hr
(5) None of the above 

4. The average of 4 consecutive even numbers A, B, C and D is 99. What is the product of B and D?
(1) 9948
(2) 9800
(3) 9792
(4) 9408
(5) None of the above

5. The difference between 89% of a number and 72% of the same number is 391. What is 48% of that number?
(1) 986
(2) 1098
(3) 1104
(4) 1212
(5) None of the above

6. The ratio of the ages A and B seven years ago was 3 : 4 respectively. The ratio of their ages nine years from now will be 7 : 8 respectively. What is B's age at present?
(1) 16 years
(2) 19 years
(3) 28 years
(4) 23 years
(5) None of these

7. A and B together can complete a particular task in 4 days. If A alone can complete the same task in 12 days, how many days will B take to complete the task if he works alone?
(1) 9 days
(2) 7 days
(3) 5 days
(4) 3 days
(5) None of these

8.A rectangular field has its length and breadth in the ratio 6:5 respectively.A man riding a bicycle,completes one loop of this field along its perimeter at the speed of 19.8 km/hr in 2 minute.what is the area of the field. 
(1)19200 m^2 
(2)27000 m^2  
(3)19300 m^2 
(4)32500 m^2 
(5) None of these

9.What would be the compound interet accured on an amount of Rs 45400 at the end of two years at the rate of 15 Percent per annum ?
(1) 16411.5
(2) 14461.5
(3) 16461.5
(4) 14641.5
(5) None of the above

10.Ravi can swim in a river with a speed of 9 kmph in downstream  and  swim with 5 kmph in upstream. what is the speed of ravi in still water.
(1) 7 kmph
(2) 4 kmph
(3) 6 kmph
(4) 3.5 kmph
(5) None of the above

Answers with Explanation !!!!!!

1. (1); Required CP=1/2(1754+1492)=1623

2. (2); Let Required Salary=x

75% of 16% of x=6567

x=54725

3. (3); Required Speed=816/(720/60)=68 km/hr

4. (5); Given average of A, B, C and D is 99

So, numbers are 96, 98, 100, 102

Required Answer=98X102=9996

5. (3); 89% of x-72% of x=391

17% of x=391

So, 48% of x=(391/17)X48=1104

6. (4); 3 : 4   before 7 years

7 : 8  after 9 years

4=16

1=4 

B's age=16 (before 7 years)

At present=16+7=23

7. (5); (1/4)-(1/12)

=2/12=1/6

i.e. 6 days

8. (2); Perimeter of field=2(6x+5x)=22x

distance travelled by man=19.8X(5/18)X2X60=660 m

22x=660

x=30 m

Area of field=6xX5x=30x^2

=30X30^2 

=27000 m^2 

9. (4)

10. (1); Required, Ravi speed in still water=1/2(9+5)=7 km/hr

Speed of current=1/2(9-5)=2 km/hr