Simplification Worksheet-10

Simplification Worksheet-10

1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

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

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

10. If

(a) 0                                                 (b) 1

(c) 5                                                 (d) Cannot be determined

(e) None of these

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

12. The simplified value of is:

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

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

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

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

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

15. simplifies to:

(a) 350               (b) 785               (c) 1220             (d) 1320

(a)                   (b) 290               (c)               (d) 4

(a) 6                    (b) 20                 (c) 91                  (d) None of these

18. The value of is :

(a)                    (b)                 (c)                 (d) 1

19. is equal to :

(a) 24                  (b) 32                 (c) 44                  (d) 100

20. The value of is equal to :

(a) 0                    (b)                   (c)                    (d) 1

Answer Key:

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