Class 11 PSA Quantitative Reasoning Test

Which of the following statements is true about the given triangle?

If ABCD is a rectangle and E is a point on AB as shown in the figure. Which of the following diagram presents a proof that area of CDE is half the area of ABCD?

After being dropped, a ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 cm. How high will it reach after its fourth bounce?

Half of the people on a bus get off at each stop. No one gets in the bus after the first stop. If only one person gets off at stop number 8, how many people get in the bus at the first stop?

A wheel of a bicycle has a diameter of X cm and a second wheel has a diameter of Y cm. If, the first wheel covers a distance of Z m in 100 revolutions, how many revolutions done the second wheel make to cover the same distance?

In the evening, there is a party for which 20 cakes and 700 patties are needed. Each helper can make either 2 cakes per hour, or 35 patties per hour. The kitchen is available only for 3 hours. How many helpers are required?

M/S Shirt Company deals in the expert and import of garments. The given table shows expenditure of the company during past five financial years (in Rs 00,000) on five heads. Answer the questions base on this table. What is the average amount of annual interest paid by company?

M/S Shirt Company deals in the expert and import of garments. The given table shows expenditure of the company during past five financial years (in Rs 00,000) on five heads. Answer the questions base on this table. In 2011-12, the company announced 20% bonus for its employee that has to be calculated on salary plus other benefits. What would be the total amount spent by the company towards bonus paid to its employee?

M/S Shirt Company deals in the expert and import of garments. The given table shows expenditure of the company during past five financial years (in Rs 00,000) on five heads. Answer the questions base on this table. What is the approximately percentage by which the total expenditure of the company on these heads increased in 2012-13 as compared to 2008-09?

The given line graph represents expenses on a head during different financial years. Graph of which head would look like this?

Read the following passage and answer the questions that follow: Inflation is an increase in the average level of prices in the economy. The inflation rate is the percentage rate of change of a price index over time. The inflation rate is widely calculated by calculating the movement or change in a price index, usually the consumer price index (CPI). The consumer price index measures movements in prices of a fixed basket of goods and services purchased by a “typical consumer”. These goods and services include food, medicines, essential clothes, schooling, etc. If, the inflation rate for the CPI in one period is X%, general level of prices have increased by X% in that period. In march 2007, the Consumer Price Index of a country was 202.04, and in March 2008 it was 210.10. By approximately how much % general price level of the commodities increase in 2008 over the prices in 2007?

Read the following passage and answer the questions that follow: Inflation is an increase in the average level of prices in the economy. The inflation rate is the percentage rate of change of a price index over time. The inflation rate is widely calculated by calculating the movement or change in a price index, usually the consumer price index (CPI). The consumer price index measures movements in prices of a fixed basket of goods and services purchased by a “typical consumer”. These goods and services include food, medicines, essential clothes, schooling, etc. If, the inflation rate for the CPI in one period is X%, general level of prices have increased by X% in that period. During 2012, a particular country’s inflation rate averaged 1.3% a day. This means that on average, prices went up by about 1.3% from one day to the next day. By what percentage did this country’s prices increase in March 2012?

Read the following passage and answer the questions that follow: Inflation is an increase in the average level of prices in the economy. The inflation rate is the percentage rate of change of a price index over time. The inflation rate is widely calculated by calculating the movement or change in a price index, usually the consumer price index (CPI). The consumer price index measures movements in prices of a fixed basket of goods and services purchased by a “typical consumer”. These goods and services include food, medicines, essential clothes, schooling, etc. If, the inflation rate for the CPI in one period is X%, general level of prices have increased by X% in that period. A house costs Rs 10,00,000 at current prices. What will be the cost of the house after two years, if the annual inflation rate is 10% and rest all factors are same.

Read the following passage and answer the questions that follow: Inflation is an increase in the average level of prices in the economy. The inflation rate is the percentage rate of change of a price index over time. The inflation rate is widely calculated by calculating the movement or change in a price index, usually the consumer price index (CPI). The consumer price index measures movements in prices of a fixed basket of goods and services purchased by a “typical consumer”. These goods and services include food, medicines, essential clothes, schooling, etc. If, the inflation rate for the CPI in one period is X%, general level of prices have increased by X% in that period. Inflation can haphazardly redistribute income and wealth in the society in an undesirable manner. While inflation is an increase in the average price level, all prices do not increase at the same rate. Suppose, the overall inflation rate is 10 percent and health can prices rise by 20 percent while food prices do not change. How will it impact food growers?

Read the following passage and answer the questions that follow: Gravity is the force that gives most of the large objects in the Universe their structure. It holds the Earth together and in the orbit around the Sun. it holds the Sun together and in its orbit around the Milky Way. It also holds the Universe itself together. Gravity also causes many astronomical phenomena such as tides. Every object exerts a gravitational force of attraction on every object. The gravitational force between tow objects depends on their masses, thus the force is larger for larger masses. It also depends on their separation, and with increase in distance between two masses, the force become weaker. Newton discovered the mathematical expression for the force of gravity on any planet. Gravitational Acceleration: a = \(GM/r{t^2}\) Or, Mass of a Planet: M = \(a{r^2} = /G\)> As a force = \(mass \times acceleration\) G is called the Universal gravitational constant; M = Planet Mass; and r = Radius from Planet Center Value of G depends on the units. In SI units, \(G = 6.67 \times {10^{11}}\,\,N{m^2}/K{g^2}\) Suppose, two stars S1 and S2 are in orbit around each other. Assuming that S1 explodes and blows off half its mass, the gravitational force between S1 and S2 will

Read the following passage and answer the questions that follow: Gravity is the force that gives most of the large objects in the Universe their structure. It holds the Earth together and in the orbit around the Sun. it holds the Sun together and in its orbit around the Milky Way. It also holds the Universe itself together. Gravity also causes many astronomical phenomena such as tides. Every object exerts a gravitational force of attraction on every object. The gravitational force between tow objects depends on their masses, thus the force is larger for larger masses. It also depends on their separation, and with increase in distance between two masses, the force become weaker. Newton discovered the mathematical expression for the force of gravity on any planet. Gravitational Acceleration: a = \(GM/r{t^2}\) Or, Mass of a Planet: M = \(a{r^2} = /G\)> As a force = \(mass \times acceleration\) G is called the Universal gravitational constant; M = Planet Mass; and r = Radius from Planet Center Value of G depends on the units. In SI units, \(G = 6.67 \times {10^{11}}\,\,N{m^2}/K{g^2}\) Gravitational force between two masses M1 and M2 kept on a table at the distance of R is G Newton. If M1 and M2 are kept in a tank filled with water at the same distance R. what would happen to the gravitational force? It will

Greater the force of attraction, harder for an object to break free from its influence. It requires the object to move faster to break free. The force of gravity determines the speed that something must travel in order to escape the object’s gravity. That speed is called the escape velocity. In order to escape, earth’s field, the kinetic energy of an object must be greater that the gravitational force that is \(\frac{{\text{1}}}{{\text{2}}}{\text{M}}{{\text{V}}^{\text{2}}}{\text{ = }}\frac{{{\text{GM}}}}{{{{\text{r}}^{\text{2}}}}}\,{\text{(force}}\,{\text{ = }}\,{\text{mass}}\,{\text{ \times }}\,{\text{acceleration)}}\) The escape velocity from spherical objects like a moon, or star, is calculated as \({\text{V = }}\sqrt {{\text{2GM/R}}}\) Thus when R gets smaller, V becomes greater. On the surface of the Earth, the escape velocity is about 11.2 kilometer per second. It means that a rocket has to attain such a high speed to be free from the gravitational attraction of the earth and leave the planet, otherwise it would fall into its orbit. In the following table, Relative Mass and Radius of different planets with respect to Earth have been given. Earth Mass = \(5.976 \times {10^{24}}\) Kilogram Earth equatorial radius = 6378 Kilometre Which of the following is the closet to the escape velocity from Jupiter?

Greater the force of attraction, harder for an object to break free from its influence. It requires the object to move faster to break free. The force of gravity determines the speed that something must travel in order to escape the object’s gravity. That speed is called the escape velocity. In order to escape, earth’s field, the kinetic energy of an object must be greater that the gravitational force that is \(\frac{{\text{1}}}{{\text{2}}}{\text{M}}{{\text{V}}^{\text{2}}}{\text{ = }}\frac{{{\text{GM}}}}{{{{\text{r}}^{\text{2}}}}}\,{\text{(force}}\,{\text{ = }}\,{\text{mass}}\,{\text{ \times }}\,{\text{acceleration)}}\) The escape velocity from spherical objects like a moon, or star, is calculated as \({\text{V = }}\sqrt {{\text{2GM/R}}}\) Thus when R gets smaller, V becomes greater. On the surface of the Earth, the escape velocity is about 11.2 kilometer per second. It means that a rocket has to attain such a high speed to be free from the gravitational attraction of the earth and leave the planet, otherwise it would fall into its orbit. In the following table, Relative Mass and Radius of different planets with respect to Earth have been given. Earth Mass = \(5.976 \times {10^{24}}\) Kilogram Earth equatorial radius = 6378 Kilometre Which of the following is the correct order of escape velocity of 4 inner planets?