Maths PYQ — Page 12

There are 24 equally spaced points lying on the circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points as the vertices?

The figure drawn below gives the velocity graphs of two vehicles A and B. The straight line OKP represents the velocity of vehicle A at any instant, whereas the horizontal straight line. CKD represents the velocity of vehicle B at any instant. In the figure, D is the point where perpendicular from P meets the horizontal line CKD such that PD = [Image: image] LD: [Image: image] What is the ratio between the distances covered by vehicles A and B in the time internal OL?

Directions for the following (8-9) items: Consider the following graph in which the birth rate and death rate of a country are given and answer the two items that follow. [Image: image] Looking at the graph, it can be inferred that from 1990 to 2010

A bag contains 15 red balls and 20 black balls. Each ball is numbered either 1 or 2 or 3. 20% of the red balls are numbered 1 and 40% of them are numbered 3. Similarly among the black balls, 45% are numbered 2 and 30% are numbered 3. A boy picks a ball at random. He wins if the ball is red and numbered 3 or if it is black and numbered 1 or 2. What are the chances of his wining?

Consider the following graphs. The curves in the graphs indicate different age group in the populations of two countries A and B over a period of few decades: [Image: Question Image] With reference to the above graphs, which of the following are the most logical and rational inferences that can be made? 1. Over the last two and a half decades, the dependency ratio for country B has decreased. 2. By the end of next two and a half decades, the dependency ratio of country A will be much less than that of country B. 3. In the next two decades, the work-force relative to its total population will increase n country B compared to country A. Select the correct answer using the code given below.

If x – y = 8, then which of the following must be true? 1. Both x and y must be positive for any value of x and y. 2. If x is positive, y must be negative for any value of x and y. 3. If x is negative, y must be positive for any value of x and y. Select the correct answer using the code given below.

Twelve equal squares are placed to fit in a rectangle of diagonal 5cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?

Consider the following figures A and B: [Image: Question Image] The manufacturing cost and projected sales for a product are shown in the above figure A and B respectively. What is the minimum number of pieces that should be manufactured to avoid a loss?

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?

A bookseller sold 'a' number of Geography textbooks at the rate of ` x per book, 'a + 2' number of History textbooks at the rate of `(x + 2) per book and ‘a – 2’ number of mathematics text books at the rate of (x –2) per book. What is his total sale in

The following graph shows imports of three different types of steel over a period of six months of a year. Study the graph and answer the questions. [Image: A graph of a city AI-generated content may be incorrect.] The figures in the brackets indicate the average cost per ton over six months period. What was the approximate ratio of sheet steel and scrap steel imports in the first three months of the year?

Consider the following sum: I + 1I + 2I + I3 + I1 = 21I In the above sum, I stands for

The following graph indicates the composition of our tax revenue for a period of two decades: [Image: Question Image] With reference to the above graph, which of the following is/are the most logical and rational inference/ inferences that can be made? 1. During the given period, the revenue from Direct Taxes as percentage of gross tax revenue has increased while that of Indirect Taxes decreased. 2. The trend in the revenue from Excise Duty demonstrates that the growth of manufacturing sector has been negative during the given period. Select the correct answer using the code given below.

The following table gives the GDP growth rate and Tele-density data of different States of a country in a particular year. Study the table and answer the question: States | Per capita income ($) | GDP growth rate (%) | Tele-density State 1 | 704 | 9.52 | 70.27 State 2 | 419 | 5.31 | 35.88 State 3 | 254 | 10.83 | 50.07 State 4 | 545 | 9.78 | 5.94 State 5 | 891 | 10.8 | 76.12 State 6 | 1077 | 11.69 | 77.5 State 7 | 900 | 8.88 | 104.86 State 8 | 395 | 5.92 | 6 State 9 | 720 | 7.76 | 82.25 State 10 | 893 | 9.55 | 96.7 State 11 | 363 | 4.7 | 57.7 State 12 | 966 | 7.85 | 63.8 State 13 | 495 | 9.37 | 52.3 State 14 | 864 | 5.46 | 97.9 State 15 | 497 | 7.48 | 62.3 State 16 | 777 | 7.03 | 93.8 State 17 | 335 | 5.8 | 49.9 State 18 | 599 | 7.49 | 47.84 With reference to the above table, which of the following is/are the most logical and rational inference/inference that can be made? 1. Higher per capita income is generally associated with higher Tele-density. 2. Higher GDP growth rate always ensures higher per capita income. 3. Higher GDP growth rate does not necessarily ensure higher Tele-density. Select the correct answer using the code given below.

For a sports meet, a winners' stand comprising three wooden blocks is in the following form: There are six different colours available to choose from and each of the three wooden blocks is to be painted such that no two of them has the same colour. In how different ways can the winners’ stand be painted?

The following graph shows imports of three different types of steel over a period of six months of a year. Study the graph and answer the questions. [Image: image] The figures in the brackets indicate the average cost per ton over six months period. By how much (measured in thousands of tons) did the import of sheet steel exceed the import of coil steel in the first three months of the year?

A train 200 metres long is moving at the rate of 40 kmph. In how many seconds will it cross a man standing near the railway line?

Average hourly earnings per year (E) of the workers in a firm are represented in figure A and B as follows: [Image: image] From the figures, it is observed that the

Two persons, A and B. are running on a circular track. At the start, B is ahead of A and their positions make an angle of 30° at the centre of the circle. When A reaches the point diametrically opposite to his starting point, he meets B. What is the ratio of speeds of A and B, if they are running with uniform speeds?

How many numbers are there between 99 and 1000 such that the digit 8 occupies the units place?

In a city 12% of households earn less than `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?

There are three pillars, X, Y and-Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance. A climbs on X by 6cm but slips down 1 cm. B climbs on Y by 7 cm but slips down 3 cm. C climbs on Z by 6.5 cm but slips down 2 cm. If each of the requires 40 chances to reach the top of the pillars, what is the height of the shortest pillar?

If for a sample data - Mean < Median < Mode, then the distribution is

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?