Calculations Worksheet-19

Calculations Worksheet-19

1. If 2x + y = 15, 2y + z = 25 and 2z + x = 26, what is the value of z ?

(a) 4                    (b) 7                    (c) 9                    (d) 11

2. If 2x + 3y = 31, y – z = 4 and x + 2z = 11, then what is the value of x + y + z ?

(a) 12                  (b) 13                  (c) 15                   (d) 16

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

4. When simplified, the product gives

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

5. The value of is :

(a) 30                 (b) 40.5              (c) 60.5              (d) 121

6. When simplified, the product is equal to :

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

7. Find the sum :

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

8. The sum of the first 35 terms of the series   is:

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

9. The value of is

(a) 990809       (b) 998996        (c) 998999        (d) 999824

10. is simplified to :

(a) 2997             (b) 5979             (c) 5994             (d) 5997

11. The value of is :

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

12. is equal to :

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

13. The value of is:

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

14. How many pieces of 85 cm length can be cut from a rod 42.5 metres long ?

(a) 30                  (b) 40                 (c) 60                  (d) None of these

15. Income of a company doubles after every one year. If the initial income was Rs. 4 lakhs, what would be the income after 5 years ?

(a) Rs. 1.24 crores                        (b) Rs. 1.28 crores

(c) Rs. 2.52 crores                        (d) Rs. 2.56 crores

16. On sports day, if 30 children were made to stand in a column, then 16 columns could be formed. If 24 children were made to stand in a column, then how many columns could be formed ?

(a) 20                 (b) 22                 (c) 29                  (d) 45

17. The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is :

(a) 14                  (b) 24                 (c) 14                  (d) 114

18. A class starts at 10 a.m. and lasts till 1.27 p.m. Four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is :

(a) 42 minutes                              (b) 48 minutes

(c) 51 minutes                               (d) 53 minutes

19. A light was seen at intervals of 13 seconds. It was seen for the first time at 1 hr. 54 min. 50 secs. a.m. and the last time at 3 hrs. 17 min. 49 secs. a.m. How many times was the light seen ?

(a) 360               (b) 375               (c) 378               (d) 384

20. It costs Rs. x each to make the first thousand copies of a compact disc and Rs. y to make each subsequent copy. If z is greater than 1000, how much will it cost to make z copies of the compact disc ?

(a) zx – zy                                       (b) 1000x + yz

(c) 1000 (x – y) + yz                    (d) 1000 (z – y) + xz

Answer Key:

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