Calculations Worksheet-22

Calculations Worksheet-22

1. 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

2. 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)

3. 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)

4. 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

5. 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)

6. 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)

7. The charges of hired car are Rs. 4 per km for the first 60 km, Rs. 5 per km for the next 60 km and Rs. 8 for every 5 km for further journey. If the balance amount left over with Rohit is one–fourth of what he paid towards the charges of the hired car for travelling 320 km, how much money did he have initially with him ?

(a) Rs. 1075       (b) Rs. 1255       (c) Rs. 1540       (d) None of these

8. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed :

(a) 30 birds       (b) 60 birds       (c) 72 birds       (d) 90 birds

9. If every 2 out of 3 readymade shirts need alterations in the collar, every 3 out of 4 need alterations in the sleeves, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts ?

(a) 24                  (b) 123                (c) 133                (d) 143

10. The sum of three fractions is . When the largest fraction is divided by the smallest, the fraction thus obtained is which is more than the middle one. The fractions are :

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

11. One test tube contains some acid and another test tube contains an equal quantity of water. To prepare a solution, 20 grams of the acid is poured into the second test tube. Then, two–thirds of the so–formed solution is poured from the second tube into the first. If the fluid in first test tube is four times that in the second, what quantity of water was taken initially ?

(a) 40 grams     (b) 60 grams    (c) 80 grams     (d) 100 grams

12. From a number of apples, a man sells half the number of existing apples plus 1 to the first customer, sells rd of the remaining apples plus 1 to the second customer and th of the remaining apples plus 1 to the third customer. He then finds that he has 3 apples left. How many apples did he have originally ?

(a) 15                  (b) 18                  (c) 20                  (d) 25

(a) 1                     (b) 2                    (c) 689               (d) 1023

(a) 2                    (b) 4                    (c) 295                (d) 643

15. If a – b = 3 and a² + b² = 29, find the value of ab.

(a) 10                  (b) 12                  (c) 15                   (d) 18

16. If

(a) 0                    (b) 1

(c) 5                    (d) Cannot be determined

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

18. The simplified value of is:

(a) 100               (b)              (c) 200               (d)

19. If a + b + c = 13, a² + b² + c² = 69, then find ab + bc + ca.

(a) –50               (b) 50                 (c) 69                  (d) 75

20. If and x + y = 3z, then the value of z is :

(a) 2                    (b) 3                    (c) 4                    (d) None of these

Answer Key:

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