Maths PYQ — Page 17

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?

Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

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?

Consider the following information regarding the performance of a class of 1000 students in four different tests: Test | I | II | III | IV Average marks | 60 | 60 | 70 | 80 Range of marks | 30 to 90 | 45 to 75 | 20 to 100 | 0 to 100 If a student scores 74 marks in each of the four tests, in which one of the following tests is her performance the best comparatively?

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

The following figure has four curves namely A, B, C and D. [Image: A graph of a number of numbers and a line AI-generated content may be incorrect.] Study the figure and answer the item that follows. Which curve indicates the exponential growth?

The following pie charts show the breakup of disease categories recorded in the patients from two towns, Town A and Town B. Pie charts plot the disease categories as percentage of the total number of patients. Based on these, answer the question that follow. [Image: image] Which of the two towns has a higher number of persons with Diabetes?

The following pie charts show the breakup of disease categories recorded in the patients from two towns, Town A and Town B. Pie charts plot the disease categories as percentage of the total number of patients. Based on these, answer the question that follows. [Image: image] What can we say about persons with more than one disease from these graphs?

In a survey regarding a proposal measure to be introduced, 2878 persons took part of which 1652 were males. 12 persons voted against the proposal which 796 were males. 1425 persons vote for the proposal. 196 females were undecided. How many males were undecided?

Read the passage given below, study the graph that follows and answer the question. During a party, a person was exposed to contaminated water. A few days later, he developed fever and loose motions. He suffered for some days before going to a doctor for treatment. On starting the treatment, he soon became better and recovered completely a few days later. The following graph shows different phases of the person's disease condition as regions A, B, C, D and E of the curve. [Image: A graph of time and time AI-generated content may be incorrect.] Which region of the curve indicates that the treatment yielded effective relief?

Read the passage given below, study the graph that follows and answer the question. During a party, a person was exposed to contaminated water. A few days later, he developed fever and loose motions. He suffered for some days before going to a doctor for treatment. On starting the treatment, he soon became better and recovered completely a few days later. The following graph shows different phases of the person's disease condition as regions A, B, C, D and E of the curve. [Image: A graph of time and time AI-generated content may be incorrect.] Which region of the curve indicates that the person began showing the symptoms of infection?

Read the passage given below, study the graph that follows and answer the question. During a party, a person was exposed to contaminated water. A few days later, he developed fever and loose motions. He suffered for some days before going to a doctor for treatment. On starting the treatment, he soon became better and recovered completely a few days later. The following graph shows different phases of the person's disease condition as regions A, B, C, D and E of the curve. [Image: Question Image] Which region/regions of the curve correspond/corresponds to incubation phase of the infection?

A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20m × 15m × 6m. The water of this tank will last for

If a bus travels 160km in 4 hours and a train trave1s 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

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?

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 Rs 50 more than that of the preceding day. How much penalty should the contractor pay if he delays the work by 10 days?