UPSC question paper – 2011-2015 – Arithmetic

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#1. Candidates in a competitive examination consisted of 60% men and 40% women. 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful. Which of the following statements is correct? [2015]

#2. A cow costs more than 4 goats but less than 5 goats. If a goat costs between ` 600 and ` 800, which of the following is a most valid conclusion? [2015]

#3. The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves ` 6,000 at the end of the month, their monthly incomes respectively are (in rs) [2015]

#4. Two equal glasses of same type are respectively 1/3 and 1/ 4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot? [2015]

#5. In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C; and 10% read all the three magazines. What percentage do not read any magazine?[2015]




#6. As per agreement with a bank, a businessman had to refund a loan in some equal instalments without interest. After paying 18 instalments he found that 60 percent of his loan was refunded. How many instalments were there in the agreement ? [2014]

#7. A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. Ifall the three bells ring at the same time at 8 o’clock in the morning, at what other time will they all ring together? [2014]

#8. Five persons fire bullets at a target at an interval of 6, 7, 8, 9 and 12 seconds respectively. The number of times they would fire the bullets together at the target in an hour is [2014]

#9. If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the other [2014]

#10. For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of ` 5 each, one-third at the rate of ` 3 each and the rest for ` 2 each. What was the total amount received?[2014]




#11. There are some balls of red, green and yellow colour lying on a table. There are as many red balls as there are yellow balls. There are twice as many yellow balls as there are green ones. The number of red balls.[2013]

#12. The tank-full pertrol in Arun’s motor-cycle lasts for 10 days. If he starts using 25% more everyday, how many days will the tank-full pertrol last? [2013]

#13. In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food? [2013]

#14. Out of 120 applications for a post, 70 are male and 80 have a driver’s license. What is the ratio between the minimum to maximum number of males having driver’s license? [2013]

#15. A sum of `Rs 700 has to be used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is ` 20 less than its preceding prize, what is the least value of the prize? [2013]




#16. A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?[2013]

#17. In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1 : 2. Based on the information, the total number of coins in the collection now becomes [2013]

#18. In a group of persons, 70% of the persons are male and 30% of the persons are married. If two-sevenths of the males are married, what fraction of the females is single ? [2011]

#19. A student on her first 3 tests received an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests ? [2011]

#20. Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps ?[2011]




#21. A person has only ` 1 and ` 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ` 75, then the number of ` 1 and ` 2 coins are, respectively [2011]

#22. Consider the following figure and answer the item that follows: A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are natural numbers. The areas of two rectangles are indicated in the figure. What is the length of each side of the square? [2011]

#23. A contract on construction job specifies a penalty for delay in completion of the work beyond a certain date is as follows: Rs 200 for the first day, ` 250 for the second day, ` 300 for the third day etc., the penalty for each succeeding day being ` 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?[2011]

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