IAS 2013 — Maths

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?

Study the two figures given below and answer the question that follow: [Image: A graph of a number of professor's classes AI-generated content may be incorrect.] [Image: A pie chart with numbers and symbols AI-generated content may be incorrect.] Which one of the following disciplines has the highest ratio of males to females?

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?

Study the two figures given below and answer the question that follow: [Image: A graph of a number of professor's classes AI-generated content may be incorrect.] [Image: A pie chart with numbers and symbols AI-generated content may be incorrect.] If the number of female Physics professors in the age group 25 — 34 equals 25% of all the Physics professors in that age group, then what is the number of male Physics professors in the age group 25-34?

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

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 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?

Consider the following diagrams: [Image: image] x men, working at constant speed, do a certain job in y days. Which one of these diagrams shows the relation between x and y?

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 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?

The tank-full petrol in Arun's motor-cycle lasts for 10 days. If he starts using 25% more every day, how many days will the tank-full petrol last?

Study the two figures given below and answer the question that follow: [Image: image] [Image: image] How many Physics professors belong to the age group 35-44?

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?

Study the two figures given below and answer the question that follow: [Image: A graph of a number of professor's classes AI-generated content may be incorrect.] [Image: A pie chart with numbers and symbols AI-generated content may be incorrect.] If the Psychology professors in the University constitute 2% of all the professors in the University, then what is the number of professors in the University?

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?

Study the two figures given below and answer the question that follow: [Image: A graph of a number of professor's classes AI-generated content may be incorrect.] [Image: A pie chart with numbers and symbols AI-generated content may be incorrect.] What percentage of all Psychology professors are females?

Four cars are hired at the rate of ₹ 6 per km plus the cost of diesel at ₹ 40 a litre. In this context, consider the details given in the following table? Car | Mileage (km/l) | Horse | Total Payments (₹) A | 8 | 20 | 2120 B | 10 | 25 | 1950 C | 9 | 24 | 2064 D | 11 | 22 | 1812 Which car maintained the maximum average speed?