Simplification Worksheet-9

Simplification Worksheet-9

1. A student was asked to find the value of of a sum of money. The student made a mistake by dividing the sum by and thus got an answer which exceeded the correct answer by Rs. 55. The correct answer was :

(a) Rs. 9             (b) Rs. 18           (c) Rs. 24           (d) Rs. 64

2. If we multiply a fraction by itself and divide the product by its reciprocal, the fraction thus obtained is The original fraction is:

(a)                 (b)                 (c)                 (d) None of these

3. The marks scored in an examination are converted from 50 to 10 for the purpose of internal assessment. The highest marks were 47 and the lowest were 14. The difference between the maximum and the minimum internal assessment scores is :

(a) 3.3                (b) 4.8                (c) 6.6                 (d) 7.4

4. One–third of Rahul's savings in National Savings Certificate is equal to one–half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident, Fund ?

(a) Rs. 30,000                              (b) Rs. 50,000

(c) Rs. 60,000                              (d) Rs. 90,000

5. In a family, the father took of the cake and he had 3 times as much as each of the other members had. The total number of family members is :

(a) 3                    (b) 7                    (c) 10                  (d) 12

6. A waiter's salary consists of his salary and tips. During one week his tips were  of his salary. What fraction of his income came from tips ?

(a)                   (b)                   (c)                    (d)

7. A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is :

(a) Rs. 120         (b) Rs. 160        (c) Rs. 240        (d) Rs. 300

8. Three friends had dinner at a restaurant. When the bill was received, Amita paid as much as Veena paid and Veena paid as much as Tanya paid. What fraction of the bill did Veena pay ?

(a)                    (b)                  (c)                  (d)

9. of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water ?

(a)                    (b)                   (c)                    (d)

10. A tank is full. If 16 litres of water is added to the tank, it becomes   full. The capacity of the tank is :

(a) 28 litres       (b) 32 litres       (c) 35 litres        (d) 42 litres

11. The fluid contained in a bucket can fill four large bottles or seven small bottles, A full large bottle is used to fill an empty small bottle. What fraction of the fluid is left over in the large bottle when the small one is full ?

(a)                    (b)                   (c)                    (d)

12. To fill a tank, 25 buckets of water is required. How many buckets, of water will be required to fill the same tank if the capacity of the bucket is reduced to two–fifth of its present ?

(a) 10                                              (b) 35

(c)                                           (d) Cannot be determined

(e) None of these

13. Peter gave one–fourth of the amount he had to Michael. Michael in turn gave half of what he received from Peter to Sam. If the difference between the remaining amount with Peter and the amount received by Sam is Rs. 500, how much money did Michael receive from Peter ?

(a) Rs. 100        (b) Rs. 200        (c) Rs. 400        (d) Data inadequate

(e) None of these

14. A boy read th  of a book on one day and th  of the remainder on another day. If there were 30 pages unread, how many pages did the book contain ?

(a) 240               (b) 300               (c) 600               (d) None of these

15. A man has divided his total money in his will in such a way that half of it goes to his wife, rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets Rs. 20,000, how much money will each son get ?

(a) Rs. 48,233.33                         (b) Rs. 50,333.33

(c) Rs. 53,333.33                         (d) Data inadequate

(e) None of these

16. At an International Dinner, of the people attending were French men. If the number of French women at the dinner was greater than the number of French men, and there were no other French people at the dinner, then what fraction of the people at the dinner were not French ?

(a)                    (b)                   (c)                    (d)

17. In a class, of the students are girls and rest are boys. If of the girls and of the boys are absent, what part of the total number of students is present ?

(a)                 (b)                 (c)                 (d)

18. One–third of the boys and one–half of the girls of a college participated in a social work project. If the number of participating students is 300 out of which 100 are boys, what is the total number of students in the college ?

(a) 500               (b) 600               (c) 700               (d) 800

19. To win an election, a candidate needs of the votes cast. If after of the votes have been counted, a candidate has of what he needs, then what part of the remaining votes does he still need ?

(a)                   (b)                   (c)                  (d)

20. In an office, of the staff can neither type nor take shorthand. However, th can type and rd can take shorthand. What part of the whole staff can do both ?

(a)                    (b)                 (c)                 (d)

Answer Key:

(1)-a; (2)-c; (3)-c; (4)-c; (5)-c; (6)-d; (7)-c; (8)-b; (9)-b; (10)-c; (11)-b; (12)-c; (13)-b; (14)-a; (15)-c; (16)-d; (17)-c; (18)-c; (19)-b; (20)-d