GS Prelims Paper II Arithmetic up to 2019
Civil Services Examination 2019
1. The number of times the digit 5 will appear while writing the integers from 1 to 1000 is
2. A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?
3. In 2002, Meenu's age was one-third of the age of Meera, whereas in 2010, Meenu's age was half the age of Meera. What is Meenu's year of birth?
4. When a runner was crossing the 12 km mark, she was informed that she had completed only 80% of the race. How many kilometres was the runner supposed to run in this event?
5. Raju has Rs. 9000 with him and he wants to buy a mobile handset; but he finds that he has only 75% of the amount required to buy the handset. Therefore, he borrows 2000 from a friend. Then
- Raju still does not have enough amount to buy the handset.
- Raju has exactly the same amount as required to buy the handset.
- Raju has enough amount to buy the handset and he will have 500 with him after buying the handset.
- Raju has enough amount to buy the handset and he will have 1000 with him after buying the handset.
6. Rakesh and Rajesh together bought 10 balls and 10 rackets. Rakesh spent 1300 and Rajesh spent 1500. If each racket costs three times a ball does, then what is the price of a racket?
- Rs. 70
- Rs. 90
- Rs. 210
- Rs. 240
7. The ratio of a two-digit natural number to a number formed by reversing its digits is 4: 7. The number of such pairs is
8. In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?
9. Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?
- 7th January
- 8th January
- 12th January
- 13th January
10. Ena was born 4 years after her parents' marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married?
- 22 years
- 23 years
- 24 years
- 25 years
11. Rakesh had money to buy 8 mobile handsets of a specific company. But the retailer offered very good discount on that particular handset. Rakesh could buy 10 mobile handsets with the amount he had. What was the discount the retailer offered?
12. The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are
13. Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the average of the three single digit odd prime numbers. Length of the second piece is equal to that of the first plus one-third the length of the third. The third piece is as long as the other two pieces together. The length of the original sheet of paper is
- 13 units
- 15 units
- 16 units
- 30 units
14. A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?
- 48 kg
- 50 kg
- 52 kg
- 54 kg
Civil Services Examination 2018
1. A shopkeeper sells an article at Rs. 40 and gets X% profit. However, when he sells it at Rs. 20, he faces same percentage of loss. What is the original cost of the article?
- Rs. 10
- Rs. 20
- Rs. 30
- Rs. 40
2. A person bought a refrigerator worth Rs. 22,800 with 12.5% interest compounded yearly. At the end of first year he paid Rs. 8,650 and at the end of second year Rs. 9,125. How much will he have to pay at the end of third year to clear the debt?
- Rs. 9,990
- Rs. 10,000
- Rs. 10,590
- Rs. 11,250
3. A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?
4. A number consists of three digits of which the middle one is zero and their sum is 4. If ‘he number formed by interchanging the first and last digits is greater than the number itself by 198, then the difference between the first and last digits is
5. While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred's place is greater than the digit at ten's place, and the digit at ten's place is greater than the digit at unit's place?
6. A bookseller sold 'a' number of Geography textbooks at the rate of Rs. x per book, 'a + 2' number of History textbooks at the rate of Rs. (x + 2) per book and 'a - 2' number of Mathematics textbooks at the rate of Rs. (x - 2) per book. What is his total sale in Rs.?
- 3x + 3a
- 3ax + 8
- x3 a3
7. A student has to get 40% marks to pass in an examination. Suppose he gets 30 marks and fails by 30 marks, then what are the maximum marks in the examination?
8. X and Y are natural numbers other than 1, and Y is greater than X. Which of the following represents the largest number?
- X / Y
- Y / X
- (X + Y) / XY
9. If x - y = 8, then which of the following must be true?
- Both x and y must be positive for any value of x and y.
- If x is positive, y must be negative for any value of x and y.
- If x is negative, y must be positive for any value of x and y.
Select the correct answer using the code given below:
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2 nor 3
Civil Services Examination 2017
1. How many numbers arc there between 99 and 1000 such that the digit 8 occupies the units place?
2. The age of Mr. X last year was the square of a number and it would be the cube of a number next year. What is the least number of years he must wait for his age to become the cube of a number again?
3. P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P, Q and R together work on a job, in what ratio should they share the earnings?
- 3 : 1 : 1
- 3 : 2 : 4
- 4 : 3 : 4
- 3 : 1 : 4
4.The average rainfall in a city for the first four days was recorded to be 0.40 inch. The rainfall on the last two days was in the ratio of 4: 3. The average of six days was 0.50 inch. What was the rainfall on the fifth day?
- 0.60 inch
- 0.70 inch
- 0.80 inch
- 0.90 inch
5. A 2-digit number is reversed. The lamer of the two numbers is divided by It smaller one. What is the largest possible remainder?
6. The monthly incomes of X and Y are in the ratio of 4 : 3 and their monthly expenses are in the ratio of 3: 2. However, each saves Rs. 6,000 per month. What is their total monthly income?
- Rs. 28,000
- Rs. 42,000
- Rs. 56,000
- Rs. 84,000
7. What is the total number of digits printed, if a book containing 150 pages is to numbered from 1 to 150?
8. Suppose the average weight of 9 persons is 50 kg. The average weight of the first 5 persons is 45 kg, whereas the average weight of the last 5 persons is 55 kg. Then the weight of the 5th person will be
- 45 kg
- 47.5 kg
- 50 kg
- 52.5 Kg
9. P = (40% of A) + (65% of B) and Q = (50% of A) + (50% of B), where A is greater than B. In this context, which of the following statements is correct?
- P is greater than Q.
- Q is greater than P.
- P is equal to Q.
- None of the above can be concluded with certainty.
10. A watch loses 2 minutes in every 24 hours while another watch gains 2 minutes, in 24 hours. At a particular instant, the two watches showed an identical time. Which of the following statements is correct if 24-hour clock is
- The two watches show the identical time again on completion of 30 days.
- The two watches show the identical time again on completion of 90 days.
- The two watches show the identical time again on completion of 120 days.
- None of the above statements correct.
11. In a city, 12% of households earn less than Rs. 30,000 per year, 6% households earn more than Rs. 2,00,000 per year, 22% households earn more than Rs. 1,00,000 per year and 990 households earn between Rs. 30,000 and Rs. 1,00,000 per year. How many households earn between Rs. 1,00,000 and Rs. 2,00,000 per year?
12. A clock strikes once at 1 o’clock, twice at 2 o’clock and thrice at 3 o’clock, and so on. If it takes 12 seconds to strike at 5 o’clock, what is the time taken by it to strike at 10 o’clock?
- 20 seconds
- 24 seconds
- 28 seconds
- 30 seconds
13. There are thirteen 2-digit consecutive odd numbers. If 39 is the mean of the first live such numbers, then what is the mean of all the thirteen numbers?
14. There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to
15. If there is a policy that 1/3rd of population of a community has migrated every year from one place, to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?
- 16/243rd part of the population
- 32/243rd part of the population
- 32/729th part of the population
- 64/729th part of the population
16. Gopal bought a cell phone and sold it to Ram at 10% profit. Then Ram wanted to sell it back to Gopal at 10% loss. What will be Gopal’s position if he agreed?
- Neither loss nor gain
- Loss 1%
- Gain 1%
- Gain 0.5%
Civil Services Examination 2016
1. A class starts at 11:00 am and lasts till 2:27 pm. Four periods of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each period is:
- 48 minutes
- 50 minutes
- 51 minutes
- 53 minutes
2. There is an order of 19000 quantity of a particular product from a customer. The firm produces 1000 quantity of that product per out of which 5% are unfit for sale. In how many days will the order be completed?
3. 30g of sugar was mixed in 180 ml water in a vessel A, 40 g of sugar Was mixed in 280 ml of water in vessel B and 20 g of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is
- sweeter than that in C
- sweeter than that in A
- as sweet as that in C
- less sweet than that in C
4. In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With the additional contribution of Rs. 2 by one student only, the total collection is Rs. 443. Then how many students are there in the class?
5. Anita's mathematics test had 70 problems carrying equal marks i.e., 10 arithmetic, 30 algebra and 30 geometry. Although she answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% marks. The number of more questions she would have to answer correctly to earn a 60% passing marks is:
6. In a class, there are 18 very tall boys. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?
7. The monthly average salary paid to all the employees of a company was Rs. 5000. The monthly average salary paid to male and female employees was Rs. 5200 and Rs. 4200 respectively. Then the percentage of males employed in the company is
8. Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?
9. A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?
10. The sum of the ages of 5 members comprising a family, 3 years ago was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby?
- 6 months
- 1 year
- 2 years
- 2 years and 6 months
11. The total emoluments of two persons are the same, but one gets allowances to the extent of 65% of his basic pay and the other gets allowances to the extent of 80% of his basic pay. The ratio of the basic pay of the former to the basic pay of the latter is:
- 16 : 13
- 5 : 4
- 7 : 5
- 12 : 11
12. Ram and Shyam work on a job together for four days and complete 60% of it. Ram takes leave then and Shyam works for eight more days to complete the job. How long would Ram take to complete the entire job alone?
- 6 days
- 8 days
- 10 days
- 11 days
13. If R and S are different integers both divisible by 5, then which of the following is not necessarily true?
- R - S is divisible by 5
- R + S is divisible by 10
- R x S is divisible by 25
- R2 + S2 is divisible by 5
14. How many numbers are there between 100 and 300 which either begin with or end with 2?
- None of the above
15. In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:
16. W can do 25% of a work-in 30 days, X can do 1/4 of the work in 10 days, Y can do 40% of the work in 40 days and Z can do 1/3 of the work in 13 days. Who will complete the work first?
17. The average monthly income of a person in a certain family of 5 is Rs. 10,000. What will be the average monthly income of a person in the same family if the income of one person increased by Rs. 1,20,000 per year?
- Rs. 12,000
- Rs. 16,000
- Rs. 20,000
- Rs. 34,000
18. A person allows 10% discount for cash payment from the marked price of a toy and still he makes a 10% gain. What is the cost price of the toy which is marked Rs. 770?
- Rs. 610
- Rs. 620
- Rs. 630
- Rs. 640
19. In a race, a competitor has to collect 6 apples which are kept in a straight line On a track and a bucket is placed at the beginning of the track which is a starting point. The condition is that the competitor can pick only one apple at a time, run back with it and drop it in the bucket. If he has to drop all the apples in the bucket, how much total distance he has to run if the bucket is 5 meters from the first apple and all other apples are placed 3 meters apart?
- 40 m
- 50 m
- 150 m
- 75 m
Civil Services Examination 2015
1. In a test, a candidate attempted only 8 questions and secured 50% marks in each of the questions. If he obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?
2. A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father's and the mother's age is 51 years. What is the age of the son?
- 7 year
- 4 year
- 3 year
3. 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?
- 7 : 17
- 1 : 3
- 9 : 21
- 11 : 23
4. Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in both English and Mathematics. The number of students who passed finally is
5. In a parking area, the total number of wheels of all the cars (four-wheelers) and scooters/motorbikes (two-wheelers) is 100 more than twice the number of parked vehicles. The number of cars parked is
6. A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pairs by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order?
7. The number of persons who read magazine X only is thrice the number of persons who read magazine Y. The number of persons who read magazine Y only is thrice the number of persons who read magazine X. Then, which of the following conclusions can be drawn?
- The number of persons who read both the magazines is twice the number of persons who read only magazine X.
- The total number of persons who read either one magazine or both the magazines is twice the number of persons who read both the magazines.
Select the correct answer using the code given below:
- 1 only
- 2 only
- Both 1 and 2
- Neither 1 nor 2
8. Two pipes A and B can independently fill a tank completely in 20 and 30 minutes respectively. If both the pipes are opened simultaneously, how much time will they take to fill the tank completely?
- 10 minutes
- 12 minutes
- 15 minutes
- 25 minutes
9. Between 6 PM and 7 PM the minute hand of a clock will be ahead of the hour hand by 3 minutes at
- 6: 15 PM
- 6: 18 PM
- 6: 36 PM
- 6: 48 PM
10. 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 Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)
- 24,000 and 18,000
- 28,000 and 21,000
- 32,000 and 24,000
- 34,000 and 26,000
11. A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?
- A cow costs more than Rs. 2,500.
- A cow costs less than Rs. 3,600.
- A cow costs between Rs. 2,600 and Rs. 3,800.
- A cow costs between Rs. 2,400 and Rs. 4,000.
12. In a box of marbles, there are three less white marbles than the red ones and five more white marbles than the green ones. If there are a total of 10 white marbles, how many marbles are there in the box?
13. 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?
- Success rate is higher for women.
- Overall success rate is below 50%.
- More men cleared the examination than women.
- Both (a) and (b) above are correct.
Civil Services Examination 2014
1. A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. If all the three bells ring at the same time at 8 o’clock in the morning, at what other time will they all ring together?
- 12 : 40 hrs
- 12 : 48 hrs
- 12 : 56 hrs
- 13 : 04 hrs
2. A and B decide to travel from place X to place Y by bus. A has Rs. 10 with him and he finds that it is 80% of the bus fare for two persons. B finds that he has Rs. 3 with him and hands it over to A. In this context, which one of the following statements is correct?
- Now the money A has is just enough to buy two tickets.
- A still needs Rs. 2 for buying the tickets.
- After buying the two tickets A will be left with 50 paise.
- The money A now has is still not sufficient to buy two tickets.
3. As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After paying 18 installments he found that 60 percent of his loan was refunded. How many installments were there in the agreement?
4. 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
5. A group of 630 children is seated in rows for a group photo session. Each row contains three less children than the row in front of it. Which one of the following number of rows is not possible?
6. If the 3rd day of a month is Monday, which one of the following will be the fifth day from 21st of this month?
7. For a charity show, the total tickets sold were 420. Half of these tickets were sold at the rate of Rs. 5 each, one-third at the rate of Rs. 3 each and the rest for Rs. 2 each. What was the total amount received?
- Rs. 900
- Rs. 1,540
- Rs. 1,610
- Rs. 2,000
8. The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?
9. Four persons, Alok, Bhupesh, Chander and Dinesh have a total of Rs. 100 among themselves. Alok and Bbupesh between them have as much money as Chander and Dinesh between them, but Alok has more money than Bhupesh; and Chander has only half the money that Dinesh has. Alok has in fact Rs. 5 more than Dinesh has. Who has the maximum amount of money?
10. 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.
- He makes no profit and no loss.
- He makes a profit of 1%.
- He suffers a loss of 1%.
- He suffers a loss of 2%.
Civil Services Examination 2013
1. 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
- is equal to the sum of yellow and green balls.
- is double the number of green balls.
- is equal to yellow balls minus green balls.
- cannot be ascertained.
2. In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?
3. 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 corns in the collection now becomes
4. 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?
5. A sum of RS. 700 has to b used to give seven cash prizes to the students of a school for their overall academic performance. If each prize is RS. 20 less than its preceding prize, what is the least value of the prize?
- RS. 30
- RS. 40
- RS. 60
- RS. 80
6. 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?
- 1 to 2
- 2 to 3
- 3 to 7
- 5 to 7
7. 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?
- 25 days
- 20 days
- 15 days
- 10 days
8. The tank-full petrol in Arun's motor-cycle lasts for 10 days. If he starts using 25% more everyday, how many days will the tank-full petrol last?
Civil Services Examination 2012
1. Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?
Civil Services Examination 2011
1. There are four routes to travel from city A to city B and six routes from city B to city C. How many routes are possible to travel from the city A to city C?
2. 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, Rs. 250 for the second day, Rs. 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 ?
- Rs. 4950
- Rs. 4250
- Rs. 3600
- Rs. 650
3. A person has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively
- 15 and 35
- 35 and 15
- 30 and 20
- 25 and 25
4. 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 ?
- 25 m 20 cm
- 50 m 40 cm
- 75 m 60 cm
- 100 m 80 cm
5. There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10% student play both the games. What is the number of students who play neither cricket nor football?
6. A student on her first 3 tests receives on 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?
- N + 20
- N + 10
- N + 4
- N + 5
7. In a group of persons, 70% of the persons are male and 30% of the persons are married. If two sevenths of males are married, what fraction of the females is single ?