Class 11 PSA Quantitative Reasoning Test

The mathematics teacher was discussing algebraic identities in the classroom. If a=250, and b=350; which of the following identities can be used to simplify \(250 \times 250 + 350 \times 350?\)

Rajesh bought an old scooter and spent Rs 1000 on its repairs. After one month he sold the scooter for Rs 6500 and earned a profit of 10% on the cost price. At what cost price did Rajesh purchase the scooter?

Until February 2012, the salaries of three friends – Amit, Brinda and Chetna were in the ratio of 2 : 3 : 5. In March 2013, they got increments of 15%, 10% and 20%, respectively. What is the ratio of their new salaries?

In a playground two teams of students came to play cricket. Both captains had an argument regarding which team will bat first. The referee suggested tossing two unbiased coins at the same time and allowing the team that first gets a maximum of one tail, to bat first. What is the probability of getting a maximum of one tail?

In a school it is mandatory for all students of class IX to participate in literary activities. For a specific section, participation list is as follows: Which option represents the increasing order of percentage of high performing candidates?

The ratio between the present age of Padma and Kushagra is 6:7. If Kushagra is 4 years older than Padma, what will be the ratio of the age of Padma and Kushagra after 4 years?

The second day of trade fair drew double the crowd that was there on the first day. Third day saw the number of visitors was 20,000. How many people visited the fair during first four days?

Salman started from his home (1,0) on his bike and went to a grocery story (4,0). After this he went to the gift centre (x,y), from where he went to meet his friend (1,3). On the basis of coordinates of various places, what will be the coordinates of the gift centre?

Radii of three cylindrical jars of equal height are in the ratio of 1:2:3. The second jar is full of orange juice, which is first poured into the first jar. Once the jar gets filled, the remaining juice is poured into the third jar. Which of the following statement is true?

Sanchi prepared a 10% (mass by mass) salt solution in 320 g of water. Annie prepared a salt solution with 256 gm of water, but dissolved the same quantity of salt that Sanchi did. What is the concentration of (mass by mass) solution prepared by Annie?

Read the following passage and answer the questions that follow: For the past 150 years, lighting technology was mainly limited to incandescence and fluorescence. With the advent of commercial Light Emitting Diodes (LEDs) in the 1960s, however, a new kind of lighting became available. LEDs consume less electricity than conventional lighting. These are more efficient converters of electrical energy into light energy. Light output is one of the important factors that help anyone to select a lighting device. The light output is commonly measured in terms of lumens, which is a measure of the power of light as perceived by the human eye. The luminous efficacy of electrical lamps is the number of lumens produced for each watt of electrical power used. Electrical power equivalents for different lighting devices have been given in the following table: What is the ratio of luminous efficacy of incandescent : LED for the light output of 1,600 lumens?

Read the following passage and answer the questions that follow: For the past 150 years, lighting technology was mainly limited to incandescence and fluorescence. With the advent of commercial Light Emitting Diodes (LEDs) in the 1960s, however, a new kind of lighting became available. LEDs consume less electricity than conventional lighting. These are more efficient converters of electrical energy into light energy. Light output is one of the important factors that help anyone to select a lighting device. The light output is commonly measured in terms of lumens, which is a measure of the power of light as perceived by the human eye. The luminous efficacy of electrical lamps is the number of lumens produced for each watt of electrical power used. Electrical power equivalents for different lighting devices have been given in the following table: What is the ratio of luminous efficacy of incandescent : LED for the light output of 1,600 lumens?

When a current flows through the diode, light is produced because the charge carriers undergo an electrostatic potential energy drop – not by inefficient thermal emission but every efficient photon production at a single wavelength. Thus, unlike light bulbs, LEDs do not heat up in order to emit light. As with all devices the LED has a limit to the amount of current it can safely pass. The diode voltage is characteristic of the semiconductor materials it is made from. These materials are also responsible for the range of colours. The following curve depicts the relationship between current and voltage for LEDs of different colours. What does this graph depict?

Electric power – that is, the rate at which electric energy is used to perform work – is measured in watts. Light-bulbs and appliances are usually marked with their wattage, indicating the rate at which they consume energy. The relationship between power (in watts), voltage (in volts), and currents (in amperes) is: Power = \(Voltage\, \times \,current\). Typical indicator LEDs are designed to operate with no more than 30-60 milli-watts (mW) of electrical power. How much power is consumed by red LEDs, if a power of 10 milli Ampere is flowing through the circuit?

Read the following passage and answer the questions that follow: Mrs. Sen purchased some delicious patties, chocolate bars, pastries and wafer packets on Christmas evening. She wanted to distribute them among the children of her class, according to their choice. The prices of these items are mentioned below along with the choice list. <ui>Each patty cost Rs 5 The price of each chocolate bar is half of the price of wafer packet and double the price of a patty. The price of pastry is 3 times the price of the patty. Choice of students has been shown in the given diagram: What are the prices of single unit of chocolate, pastry and wafer packet, respectively?

Read the following passage and answer the questions that follow: Mrs. Sen purchased some delicious patties, chocolate bars, pastries and wafer packets on Christmas evening. She wanted to distribute them among the children of her class, according to their choice. The prices of these items are mentioned below along with the choice list. <ui>Each patty cost Rs 5 The price of each chocolate bar is half of the price of wafer packet and double the price of a patty. The price of pastry is 3 times the price of the patty. Choice of students has been shown in the given diagram: What is the total number of children in Mrs. Sen’s Class?

Read the following passage and answer the questions that follow: Mrs. Sen purchased some delicious patties, chocolate bars, pastries and wafer packets on Christmas evening. She wanted to distribute them among the children of her class, according to their choice. The prices of these items are mentioned below along with the choice list. <ui>Each patty cost Rs 5 The price of each chocolate bar is half of the price of wafer packet and double the price of a patty. The price of pastry is 3 times the price of the patty. Choice of students has been shown in the given diagram: How many chocolate, pastries and wafer packets need to be bought?

Read the following passage and answer the questions that follow: Mrs. Sen purchased some delicious patties, chocolate bars, pastries and wafer packets on Christmas evening. She wanted to distribute them among the children of her class, according to their choice. The prices of these items are mentioned below along with the choice list. <ui>Each patty cost Rs 5 The price of each chocolate bar is half of the price of wafer packet and double the price of a patty. The price of pastry is 3 times the price of the patty. Choice of students has been shown in the given diagram: How much money did Mrs. Sen spend in purchasing these items?