CivilsIASPrep.comUPSC PYQs: Quantitative Aptitude
Review complete published questions grouped by subject: Quantitative Aptitude.
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Questions
- If second and fourth Saturdays and all Sundays are the only holidays for an office, what is the minimum possible number of working days in any month of any year?2017 · Prelims CSAT · Quantitative Aptitude · Calendar
- If one-third of a community's population migrates every year and there is no population growth, what fraction of the original population remains after the sixth year?2017 · Prelims CSAT · Quantitative Aptitude · Geometric Reduction
- A+B income is greater than C+D; A+C equals B+D; and A earns half the sum of B and D. Whose income is highest?2017 · Prelims CSAT · Quantitative Aptitude · Algebraic Comparison
- Three spiders climb pillars X, Y and Z. A climbs 6 cm and slips 1 cm; B climbs 7 cm and slips 3 cm; C climbs 6.5 cm and slips 2 cm. Each reaches the top on its 40th chance. What is the height of the shortest pillar?2017 · Prelims CSAT · Quantitative Aptitude · Climb and Slip
- Fifteen students failed in a class of 52. After failed students are removed, Ramesh is 22nd from the top in the merit list. What is his position from the bottom?2017 · Prelims CSAT · Quantitative Aptitude · Ranking
- Gopal bought a cell phone and sold it to Ram at 10% profit. Ram then sells it back to Gopal at 10% loss. What is Gopal's position if he agrees?2017 · Prelims CSAT · Quantitative Aptitude · Profit and Loss
- There are five hobby clubs in a college: photography, yachting, chess, electronics and gardening. Gardening meets every second day, electronics every third day, chess every fourth day, yachting every fifth day and photography every sixth day. How many times do all five groups meet on the same day within 180 days?2016 · Prelims CSAT · Quantitative Aptitude · LCM
- There are some nectar-filled flowers on a tree and some bees hovering on it. If one bee lands on each flower, one bee is left out. If two bees land on each flower, one flower is left out. The numbers of flowers and bees respectively are:2016 · Prelims CSAT · Quantitative Aptitude · Linear Equations
- There is an order of 19,000 units of a product. The firm produces 1,000 units per day, of which 5% are unfit for sale. In how many days will the order be completed?2016 · Prelims CSAT · Quantitative Aptitude · Percentage and Production
- A class starts at 11:00 a.m. and lasts till 2:27 p.m. 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:2016 · Prelims CSAT · Quantitative Aptitude · Time Calculation
- 30 g of sugar was mixed in 180 ml water in vessel A, 40 g in 280 ml water in vessel B and 20 g in 100 ml water in vessel C. The solution in vessel B is:2016 · Prelims CSAT · Quantitative Aptitude · Ratio and Concentration
- In aid of charity, every student in a class contributes as many rupees as the number of students in that class. With an additional contribution of Rs. 2 by one student only, the total collection is Rs. 443. How many students are there?2016 · Prelims CSAT · Quantitative Aptitude · Quadratic Reasoning
- Anita's mathematics test had 70 equal-mark problems: 10 arithmetic, 30 algebra and 30 geometry. She answered 70% of arithmetic, 40% of algebra and 60% of geometry correctly. How many more questions would she need correct to reach 60% overall?2016 · Prelims CSAT · Quantitative Aptitude · Percentages
- 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 all students, what is the number of girls?2016 · Prelims CSAT · Quantitative Aptitude · Fractions
- The monthly average salary of all employees of a company was Rs. 5000. The monthly average salaries of male and female employees were Rs. 5200 and Rs. 4200 respectively. What percentage of employees were male?2016 · Prelims CSAT · Quantitative Aptitude · Averages and Alligation
- Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is Y less than X?2016 · Prelims CSAT · Quantitative Aptitude · Percentages
- A daily train service is to run between stations A and B, with a train starting from each end at 6 a.m.; each journey takes 42 hours. What number of trains is needed to maintain the shuttle service?2016 · Prelims CSAT · Quantitative Aptitude · Time and Scheduling
- A piece of tin is a rectangle 12 cm by 8 cm and is used to construct a closed cube. The side of the cube is:2016 · Prelims CSAT · Quantitative Aptitude · Mensuration
- A question paper has five questions, each answered True or False. No two candidates give an identical five-answer sequence. What is the maximum number of candidates possible?2016 · Prelims CSAT · Quantitative Aptitude · Counting
- A person climbs a hill in a straight path from point O in the north-east direction and reaches A after 5 km. From A he moves to B in the north-west direction for 12 km. How far is he from O?2016 · Prelims CSAT · Quantitative Aptitude · Geometry and Directions
- An agricultural field is rectangular, with length X1 metres and breadth X2 metres, where X1 + X2 = 40 metres. The area of the field will not exceed which value?2016 · Prelims CSAT · Quantitative Aptitude · Maxima and Mensuration
- The sum of the ages of five family members three years ago was 80 years. The average age of the family today is the same as it was three years ago because a baby was added during the intervening period. How old is the baby?2016 · Prelims CSAT · Quantitative Aptitude · Averages and Ages
- The total emoluments of two persons are the same, but one gets allowances equal to 65% of basic pay and the other 80% of basic pay. The ratio of the basic pay of the former to the latter is:2016 · Prelims CSAT · Quantitative Aptitude · Ratio
- A person is standing on the first step from the bottom of a ladder. If he must climb four more steps to reach exactly the middle step, how many steps does the ladder have?2016 · Prelims CSAT · Quantitative Aptitude · Number Reasoning
- A vertical tree trunk is broken at a point 12 metres above the ground. The broken top remains attached and its end touches the ground 5 metres from the base. What was the original height of the tree?2016 · Prelims CSAT · Quantitative Aptitude · Pythagoras
- A person walks 12 km north, 15 km east, 19 km west and then 15 km south. How far is he from the starting point?2016 · Prelims CSAT · Quantitative Aptitude · Direction and Distance
- A cube has all its faces painted with different colours. It is cut into equal smaller cubes whose side is one-fourth that of the big cube. How many small cubes have only one side painted?2016 · Prelims CSAT · Quantitative Aptitude · Cubes
- Ram and Shyam work together for four days and complete 60% of a job. Ram then leaves and Shyam works eight more days to finish it. How long would Ram take to complete the entire job alone?2016 · Prelims CSAT · Quantitative Aptitude · Time and Work
- If R and S are different integers both divisible by 5, which of the following is not necessarily true?2016 · Prelims CSAT · Quantitative Aptitude · Divisibility
- How many numbers are there between 100 and 300 which either begin with or end with 2?2016 · Prelims CSAT · Quantitative Aptitude · Counting and Digits
- A cylindrical overhead tank of radius 2 m and height 7 m is to be filled from an underground tank of size 5.5 m × 4 m × 6 m. What portion of the underground tank remains filled after the overhead tank is completely filled?2016 · Prelims CSAT · Quantitative Aptitude · Mensuration
- In a class of 60 students, the number of girls is twice the number of boys. Kamal, a boy, ranks seventeenth from the top. If nine girls are ahead of Kamal, how many boys rank after him?2016 · Prelims CSAT · Quantitative Aptitude · Ranking
- A and B walk around a circular park from the same point at 8 a.m. in opposite directions. Their speeds are 2 and 3 rounds per hour respectively. How many times do they cross each other after 8:00 a.m. and before 9:30 a.m.?2016 · Prelims CSAT · Quantitative Aptitude · Circular Motion
- W can do 25% of a work in 30 days, X can do one-fourth in 10 days, Y can do 40% in 40 days and Z can do one-third in 13 days. Who will complete the entire work first?2016 · Prelims CSAT · Quantitative Aptitude · Time and Work
- The average monthly income per person in a family of five is Rs. 10,000. What will be the new average monthly income per person if one person's income increases by Rs. 1,20,000 per year?2016 · Prelims CSAT · Quantitative Aptitude · Average
- In a race, six apples lie in a straight line. A bucket is at the starting point, 5 m from the first apple; successive apples are 3 m apart. The competitor may carry only one apple at a time and must return each to the bucket. What total distance must be run?2016 · Prelims CSAT · Quantitative Aptitude · Arithmetic Progression
- A circular archery target has diameter 1 m. Its central red region has radius 0.20 m. Assuming arrows are uniformly distributed over the target area, what is the probability an arrow falls in the red region?2016 · Prelims CSAT · Quantitative Aptitude · Probability and Area
- A seller allows a 10% cash discount on the marked price of a toy and still makes a 10% gain. If the marked price is Rs. 770, what is the cost price?2016 · Prelims CSAT · Quantitative Aptitude · Profit and Loss
- Petrol price and monthly consumption are: ₹40→60 L, ₹50→48 L, ₹60→40 L, ₹75→32 L. If price becomes ₹80/L, expected consumption is?2015 · Prelims CSAT · Quantitative Aptitude · Inverse proportion
- Matrix rows are (3,8,10,2,?,1) and (6,56,90,2,20,0). What is the missing number?2015 · Prelims CSAT · Quantitative Aptitude · Number matrix
- Find X in the series 7, X, 21, 31, 43.2015 · Prelims CSAT · Quantitative Aptitude · Number series
- A candidate attempted 8 questions, scoring 50% on each. His overall test score was 40%, with all questions equally weighted. How many questions were in the test?2015 · Prelims CSAT · Quantitative Aptitude · Percentages
- A father is 9 times his son's age and the mother is 8 times the son's age. Together the parents are 51. What is the son's age?2015 · Prelims CSAT · Quantitative Aptitude · Ages
- A, B, C and D each start with ₹100. A pays ₹20 to B; B pays ₹10 to C; C receives ₹30 from D. Which statement is NOT correct?2015 · Prelims CSAT · Quantitative Aptitude · Money transfers
- In a town, 45% read magazine A, 55% B, 40% C; 30% read A&B, 15% B&C, 25% A&C and 10% all three. What percentage read none?2015 · Prelims CSAT · Quantitative Aptitude · Set theory
- In a 500 m race, B starts 45 m ahead of A. A finishes while B is still 35 m short of the finish. Find speed ratio A:B.2015 · Prelims CSAT · Quantitative Aptitude · Race and speed
- Two equal glasses are respectively 1/3 and 1/4 full of milk, then filled with water and mixed. What is the ratio of milk to water?2015 · Prelims CSAT · Quantitative Aptitude · Mixture
- Of 130 students, 62 failed English, 52 failed Mathematics and 24 failed both. How many passed both subjects?2015 · Prelims CSAT · Quantitative Aptitude · Set theory
- In a bus group, 6 speak Tamil, 15 Hindi, 6 Gujarati; nobody speaks another language. Two people speak exactly two languages and one speaks all three. How many people are in the group?2015 · Prelims CSAT · Quantitative Aptitude · Set theory and languages
- In a parking area, total wheels of cars and two-wheelers are 100 more than twice the total number of vehicles. How many cars are parked?2015 · Prelims CSAT · Quantitative Aptitude · Linear equations
- One Principal and two Vice-Principals are to be selected from six candidates. Only two candidates are eligible for Principal; all six are eligible for Vice-Principal. How many possible combinations of selectees are there?2015 · Prelims CSAT · Quantitative Aptitude · Combinations
- A student must choose 2 subjects from Commerce, Economics, Statistics, Mathematics I and Mathematics II. Mathematics II may be chosen only with Mathematics I. How many valid combinations are possible?2015 · Prelims CSAT · Quantitative Aptitude · Combinations
- A person orders 5 pairs of black socks and x pairs of brown socks. A black pair costs three times a brown pair. The clerk swaps the quantities, doubling the bill. How many brown pairs were originally ordered?2015 · Prelims CSAT · Quantitative Aptitude · Algebra
- Pipes A and B can fill a tank independently in 20 and 30 minutes. If opened together, how long do they take?2015 · Prelims CSAT · Quantitative Aptitude · Pipes and cisterns
- If ABC × DEED = ABCABC, where A,B,C,D,E are distinct digits, what are D and E?2015 · Prelims CSAT · Quantitative Aptitude · Cryptarithm
- Between 6 and 7 o'clock, when is the minute hand ahead of the hour hand by 3 minute-spaces?2015 · Prelims CSAT · Quantitative Aptitude · Clock problems
- Five different tasks are to be assigned to five persons, one task each. Task 1 cannot be assigned to person 1 or 2, and Task 2 must be assigned to person 3 or 4. How many valid assignments are possible?2015 · Prelims CSAT · Quantitative Aptitude · Assignments and permutations
- Peter and Paul have incomes in the ratio 4:3 and expenditures in the ratio 3:2. Each saves ₹6,000. What are their respective incomes?2015 · Prelims CSAT · Quantitative Aptitude · Ratio and savings
- Two cities are 360 km apart. A person travels from one to the other at 40 km/h and returns at 60 km/h. What is the average speed for the whole journey?2015 · Prelims CSAT · Quantitative Aptitude · Average speed
- At a gathering, each pair of friends of the same sex hugs, while each pair of opposite sex shakes hands. There are 24 handshakes. Which number of hugs is possible?2015 · Prelims CSAT · Quantitative Aptitude · Combinatorics
- The price of a cow is more than the price of 4 goats but less than the price of 5 goats. Each goat costs between ₹600 and ₹800. Which statement about the cow's price is necessarily the most valid?2015 · Prelims CSAT · Quantitative Aptitude · Inequalities
- A bag has 10 white balls. The number of white balls is 3 fewer than the number of red balls and 5 more than the number of green balls. How many balls are there in total?2015 · Prelims CSAT · Quantitative Aptitude · Ratios and counts