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UPSC CSE Prelims 2013 — Quantitative Aptitude Questions with Answers

All 11 Quantitative Aptitude previous-year questions from UPSC CSE Prelims 2013, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.LCM and HCF

   There are five hobby clubs in a college viz., photography, yachting, chess, electronics and gardening. The gardening group meets every second day, the electronics group meets every third day, the chess group meets every fourth day, the yachting group meets every fifth day and the photography group meets every sixth day. How many times do all the five groups meet on the same day within 180 days?

   • a)3
   • b)5
   • c)10
   • d)18
2. Q2.Ratio and Proportion

   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

   • a)is equal to the sum of yellow and green balls.
   • b)is double the number of green balls.
   • c)is equal to yellow balls minus green balls.
   • d)cannot be ascertained.
3. Q3.Ranking

   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?

   • a)25th
   • b)26th
   • c)27th
   • d)28th
4. Q4.Time, Speed and Distance

   A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be

   • a)2 min
   • b)3 min
   • c)4 min
   • d)6 min
5. Q5.Time, Speed and Distance

   A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original speed of the train in km/hr?

   • a)24
   • b)33
   • c)42
   • d)66
6. Q6.Ratio and Proportion

   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

   • a)90
   • b)80
   • c)60
   • d)50
7. Q7.Squares and Roots

   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?

   • a)14
   • b)24
   • c)32
   • d)34
8. Q8.Arithmetic Progression

   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 Rs 20 less than its preceding prize, what is the least value of the prize?

   • a)Rs 30
   • b)Rs 40
   • c)Rs 60
   • d)Rs 80
9. Q9.Time and Work

   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?

   • a)25 days
   • b)20 days
   • c)15 days
   • d)10 days
10. Q10.Time and Work

    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?

    • a)5
    • b)6
    • c)7
    • d)8
11. Q11.Time, Speed and Distance

    A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

    • a)Two hours
    • b)Two and a half hours
    • c)Five and a half hours
    • d)Four hours