Simplification Worksheet-11

Simplification Worksheet-11

1. The highest score in an inning was of the total and the next highest was of the remainder. If the scores differed by 9, the total score was :

(a) 110                (b) 121                (c) 132                (d) 143

2. Rahul owes Rs. X and gives a Rs. 50 note in payment. He receives the following change : 3X fifty–paise coins, 14 ten–paise coins and 4X five–paise coins. X is equal to :

(a) 12                  (b) 16                  (c) 18                  (d) 22

3. David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?

(a) 19                  (b) 28                 (c) 30                  (d) 3.7

4. N number of persons decided to raise Rs. 3 lakhs by equal contributions from each. Had they contributed Rs. 50 each extra, the contribution would have been Rs. 3.25 lakhs. How many persons are there ?

(a) 400                                            (b) 450

(c) 600                                            (d) Cannot be determined

(e) None of these

5. Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one–eighth of the number of children. Had the number of children been  half, each child would have got  16 notebooks. Total how many notebooks were distributed ?

(a) 256               (b) 432               (c) 512                (d) 640

(e) None of these

6. A classroom has equal number of boys and girls. Eight girls left to play kho–kho, leaving twice as many boys as girls in the classroom. What was the total number of girls and boys present initially ?

(a) 16                                               (b) 24

(c) 32                                               (d) Cannot be determined

(e) None of these

7. After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equally distributing. What was the total number of sweets ?

(a) 328               (b) 348               (c) 358               (d) Data inadequate

8. In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

(a) 160                (b) 175                (c) 180                (d) 195

9. A sum of Rs. 312 was divided among 100 boys and girls in such a way that each boy gets Rs. 3.60 and each girl Rs. 2.40. The number of girls is :

(a) 35                  (b) 40                 (c) 60                  (d) 65

10. Each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys in a class of 60 students. If the total contribution thus collected is Rs. 1600, how many boys are there in the class ?

(a) 25                  (b) 30                 (c) 50                  (d) Data inadequate

11. A worker may claim Rs. 1.50 for each km which he travels by taxi and 50 p for each km he drives his own car. If in one week he claimed Rs. 50 for travelling 80 km, how many kms did he travel by taxi ?

(a) 10                  (b) 20                 (c) 30                  (d) 40

12. In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is :

(a) 35                  (b) 38                 (c) 40                  (d) 42

13. A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss (–1) point, how many matches, in all, have they played if their score is 23 ?

(a) 17                  (b) 20                 (c) 37                  (d) 40

14. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is :

(a) 120                (b) 124                (c) 144                (d) 200

15. A man has Rs. 480 in the denominations of one–rupee notes, five–rupee notes, and ten–rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

(a) 45                  (b) 60                 (c) 75                  (d) 90

16. Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by :

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

17. On Children's Day, sweets were to be equally distributed among 175 children in a school. Actually on the Children's Day, 35 children were absent and therefore each child got 4 sweets extra. Total how many sweets were available for distribution ?

(a) 2400            (b) 2480            (c) 2680             (d) 2750

(e) None of these

18. A certain number of tennis balls were purchased for Rs. 450. Five more balls could have been purchased in the same amount if each ball was cheaper by Rs. 15. The number of balls purchased was :

(a) 10                  (b) 15                  (c) 20                  (d) 25

19. A piece of cloth costs Rs. 35. If the length of the piece would have been 4 m longer and each metre costs Re. 1 less, the cost would have remained unchanged. How long is the piece ?

(a) 9 m               (b) 10 m             (c) 12 m              (d) 14 m

20. The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is :

(a) Rs. 3500      (b) Rs. 3750      (c) Rs. 3840      (d) Rs. 3900

Answer Key:

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