Q1. Sandeep bought some chilli powder containing five percent impurities in the form of raw dust. He then mixed pure chilli powder to 2 kg of that impure chilli in such a way that the proportion of impurity now became 4% of total mixture. At what percent should he mark-up the price of this mixture to have an overall profit of 30% ?
(a) 25%
(b) 35%
(c) 20%
(d) 32%
(e) None of these
Q2. In an examination, there are 100 questions. For each correct answer 4 marks will be awarded, for each wrong answer 2 mark will be deducted for each unattempted question 1 mark will be deducted. If a student scored 320 marks then what could be max number of questions attempted wrong by him?
(a) 12
(b) 10
(c) 14
(d) 13
(e)None of these
Q3. A and B can do a piece of work in 12 days. B and C together can do the same work in 16 days while B alone can do it in 24 days. Two of them who have same efficiency work on day one and then the third person does the work on day two. If this process goes on till the completion of the work, then find the total no. of days taken for the work to get finished ?
(a) 15 ¾ days
(b) 17 ¾ days
(c) 16 ¾ days
(d) 18 ¾ days
(e) None of these
Directions (4-5): Abhishek bought some chairs and tables from a shopkeeper. The marked price of a chair and a table were in the ratio 5 : 8. The shopkeeper gave discounts of 20% and 25% on the chair & the table respectively. The ratio of number of chairs and tables bought by Abhishek is 6 : 5.
Q4. If Abhishek sells each chair and table bought by him at discounts of 25% and 20% respectively after marking up the prices of both by 50% and gives one table free for every four chairs bought by a customer and only ⅔rd of the total chairs are sold in bunch of four chairs, then what is the net profit /loss % made by Abhishek after selling all of the items which he bought from the shopkeeper?
(a) 6⅔ %
(b) 3⅓ %
(c) 2 ½ %
(d) 4 ¼ %
(e) None of these
Q5. If the marked price of a table set by the shopkeeper was Rs.300 more than that of a chair and the total expenditure made by Abhishek in purchasing the chairs and table from the shopkeeper was Rs.108000, then how many chairs were purchased by Abhishek?
(a) 150
(b) 60
(c) 120
(d) 90
(e) None of these
Directions (6-7): A team of miners planned to mine 1800 tons of ore during a certain number of days. Due to technical difficulties, in one-third of the planned number of days, the team was able to achieve an output of 20 tons of ore less per day than the planned output. To make up for this, the team overachieved for the rest of the days by 20 tons. The end result was that the team completed the task one day ahead of time.
Q6. How many tons of ore did the team initially plan to mine per day?
(a) 50
(b) 100
(c) 150
(d) 200
(e) 250
Q7. To complete the task two days before the planned date, how many more tons of ore should the team mine per day after mining the planned tons of ores till one-third of the planned no. of days?
(a) 25
(b) 30
(c) 20
(d) 15
(e) None of these
Direction (8-9)- In a school there are a total of 50 students in class X, who are divided into three sections A, B and C. A and B have an equal number of students. All the students of the class wrote a test. The average marks obtained by the students of sections A and B together is 52.5. The average marks obtained by the students of sections A and C together is 60. The average marks obtained by the students of sections B and C together is 70. The average marks obtained by the students of sections A, B and C together is 60.
Q8. How many students are there in section C?
(a) 10
(b) 20
(c) 15
(d) Cannot be determined
(e) None of these
Q9. How many students are there in all of the three sections?
(a) 40
(b) 30
(c) 45
(d) Cannot be determined
(e) None of these
Q10. Ratio of length and speed of two trains (smaller: longer) are 7: 8 and 4: 3 respectively. Time taken by both trains to cross each other while running in opposite directions is and time taken by smaller train to cross a platform having length 100 m less than the smaller train is 16 sec. Find time taken by longer train to cross that platform?
(a) 22 ½ sec
(b) 23 ⅓ sec
(c) 21 ⅔ sec
(d) 20 sec
(e) None of the given options
Solutions