Class 09 PSA Quantitative Reasoning Test 01 (2014)
Class 9 · PSA Quantitative Reasoning Test 01 (2014)
This is online test 01 for Class 09 PSA Quantitative Reasoning Test 01 (2014).. There are 18 questions in this test with each question having around four answer choices.
Questions & Answers
1
Read the following passage and answer the questions that follow. When solids, liquids or gases are dissolved in a liquid they make a solution. The substance (solid, liquid or gas) being dissolved is called the solute and the liquid that does the dissolving is called the solvent. Solutions which use water as the solvent are called aqueous solutions. When you dissolve a spoon of instant coffee in hot water or add water to some cordial syrup, you are making an aqueous solution. The concentration of an aqueous solution refers to the amount of solute that has been dissolved in a fixed amount of water. For example, if a saline solution (made from salt dissolved in water) has a concentration of 10 g/L, then we know that 10 g salt has been dissolved in 1 litre of water solvent. The concentration of a solution can also be described by the proportion of the solute to solution either by mass or by volume The by mass concentration is used when a solid is dissolved in a solvent. This is calculated by dividing the mass of the solute (in grams) by the mass of the solution (also in grams) and the result converted into a percentage. It is important to note that the mass of the solution is equal to the mass of the solute plus the mass of the solvent. One millilitre of water has a mass of 1 gram. When solute is a liquid, the by volume concentration is used. In this case, the volume of the solute is divided by the volume of the solution and the result is again converted into a percentage. It does not matter which volume unites (millilitres, litres or cubic centimetres) are used, provided that the same unit is used for both the solute and the solution. The table below indicated how much sugar can be found dissolved in different beverages. Which of the following statement is true?

- Aorange juice has a higher sugar concentration than apple drink
- Bsoft drink has a lower sugar concentration than apple drink
- Cpure apple juice has a higher sugar concentration than soft drinkCorrect
- Dpure vegetable juice and orange juice have the same sugar concentration
2
Read the following passage and answer the questions that follow. When solids, liquids or gases are dissolved in a liquid they make a solution. The substance (solid, liquid or gas) being dissolved is called the solute and the liquid that does the dissolving is called the solvent. Solutions which use water as the solvent are called aqueous solutions. When you dissolve a spoon of instant coffee in hot water or add water to some cordial syrup, you are making an aqueous solution. The concentration of an aqueous solution refers to the amount of solute that has been dissolved in a fixed amount of water. For example, if a saline solution (made from salt dissolved in water) has a concentration of 10 g/L, then we know that 10 g salt has been dissolved in 1 litre of water solvent. The concentration of a solution can also be described by the proportion of the solute to solution either by mass or by volume The by mass concentration is used when a solid is dissolved in a solvent. This is calculated by dividing the mass of the solute (in grams) by the mass of the solution (also in grams) and the result converted into a percentage. It is important to note that the mass of the solution is equal to the mass of the solute plus the mass of the solvent. One millilitre of water has a mass of 1 gram. When solute is a liquid, the by volume concentration is used. In this case, the volume of the solute is divided by the volume of the solution and the result is again converted into a percentage. It does not matter which volume unites (millilitres, litres or cubic centimetres) are used, provided that the same unit is used for both the solute and the solution. When a saline solution is made by dissolving 6 g o salt in 50 mL of water, the concentration by mass of this solution is closed to
- A12%
- B0.1%
- C11%Correct
- D3%
3
Read the following passage and answer the questions that follow. When solids, liquids or gases are dissolved in a liquid they make a solution. The substance (solid, liquid or gas) being dissolved is called the solute and the liquid that does the dissolving is called the solvent. Solutions which use water as the solvent are called aqueous solutions. When you dissolve a spoon of instant coffee in hot water or add water to some cordial syrup, you are making an aqueous solution. The concentration of an aqueous solution refers to the amount of solute that has been dissolved in a fixed amount of water. For example, if a saline solution (made from salt dissolved in water) has a concentration of 10 g/L, then we know that 10 g salt has been dissolved in 1 litre of water solvent. The concentration of a solution can also be described by the proportion of the solute to solution either by mass or by volume The by mass concentration is used when a solid is dissolved in a solvent. This is calculated by dividing the mass of the solute (in grams) by the mass of the solution (also in grams) and the result converted into a percentage. It is important to note that the mass of the solution is equal to the mass of the solute plus the mass of the solvent. One millilitre of water has a mass of 1 gram. When solute is a liquid, the by volume concentration is used. In this case, the volume of the solute is divided by the volume of the solution and the result is again converted into a percentage. It does not matter which volume unites (millilitres, litres or cubic centimetres) are used, provided that the same unit is used for both the solute and the solution. An aqueous solution of copper Sulphate was left out in the hot sun. The heat caused some of the water to evaporate from the solution. The original 150 g solution had a concentration of 10% by mass. If the remaining solution has a concentration of 15% by mass, what volume of water evaporated?
- A15 ml
- B150 ml
- C50 mlCorrect
- D10 ml
4
Read the following passage and answer the questions that follow. When solids, liquids or gases are dissolved in a liquid they make a solution. The substance (solid, liquid or gas) being dissolved is called the solute and the liquid that does the dissolving is called the solvent. Solutions which use water as the solvent are called aqueous solutions. When you dissolve a spoon of instant coffee in hot water or add water to some cordial syrup, you are making an aqueous solution. The concentration of an aqueous solution refers to the amount of solute that has been dissolved in a fixed amount of water. For example, if a saline solution (made from salt dissolved in water) has a concentration of 10 g/L, then we know that 10 g salt has been dissolved in 1 litre of water solvent. The concentration of a solution can also be described by the proportion of the solute to solution either by mass or by volume The by mass concentration is used when a solid is dissolved in a solvent. This is calculated by dividing the mass of the solute (in grams) by the mass of the solution (also in grams) and the result converted into a percentage. It is important to note that the mass of the solution is equal to the mass of the solute plus the mass of the solvent. One millilitre of water has a mass of 1 gram. When solute is a liquid, the by volume concentration is used. In this case, the volume of the solute is divided by the volume of the solution and the result is again converted into a percentage. It does not matter which volume unites (millilitres, litres or cubic centimetres) are used, provided that the same unit is used for both the solute and the solution. How many grams of sugar must you add to 400 mL of water in order to make a sugar solution with a concentration of 10 g/L?
- A25
- B40
- C2.5
- D4Correct
5
Read the following passage and answer the questions that follow. The temperature of a substance indicates how energetic that substance’s particles are. The particles in a hot object are highly energetic, moving rapidly and colliding with each other frequently. The particles in a colder object move more slowly, collide less often and have very low energy. Over the centuries, scientists have created temperature scales to describe how hot or how cold substances are. All temperature scales use the term degree as a basic unit. However, the size of these degrees is different on each of the temperature scales because the scientists who developed them defined the freezing point and boiling points of water in different ways. The most widely used temperature scale is the Celsius scale which defines the freezing point of water as 0 degree Celsius (written as \({0^\circ }C\)) and its boiling point as \({100^\circ }C\). The Newton scale, developed by Isaac Newton in 1700, also defines the freezing point of water as its zero point, but defines the boiling point of water as 33 Newton degrees (or \({33^\circ }N\)). (A Newton temperature N is converted to its equivalent Celsius temperature C by using the equation: \(N \times \frac{{100}}{{33}} = C\) The Fahrenheit scale, which is still used in many parts of the worlds, defines water’s freezing point as \({32^\circ }F\) and its boiling point as \({212^\circ }F\). (A Fahrenheit temperature F is converted into its equivalent Celsius temperature C by using the equation: \(\left( {F - 32} \right) \times \frac{5}{9} = C)\) Scientists describe the point at which the particles of a substance have no energy at all, as absolute zero. The Kelvin scale uses absolute zero as its starting temperature point (0 K). On this scale, water freezes at 273.15 K and boils at 373.15 K. (A Kelvin temperature K is converted into its equivalent Celsius temperature C by using the equation: K – 373.13=C) A Celsius degree is nearly
- A33 times the size of a Newton degree
- Bone hundredth the size of a Newton degree
- Cone third the size of a Newton degreeCorrect
- Dthe same size as a Newton deree
6
Read the following passage and answer the questions that follow. The temperature of a substance indicates how energetic that substance’s particles are. The particles in a hot object are highly energetic, moving rapidly and colliding with each other frequently. The particles in a colder object move more slowly, collide less often and have very low energy. Over the centuries, scientists have created temperature scales to describe how hot or how cold substances are. All temperature scales use the term degree as a basic unit. However, the size of these degrees is different on each of the temperature scales because the scientists who developed them defined the freezing point and boiling points of water in different ways. The most widely used temperature scale is the Celsius scale which defines the freezing point of water as 0 degree Celsius (written as \({0^\circ }C\)) and its boiling point as \({100^\circ }C\). The Newton scale, developed by Isaac Newton in 1700, also defines the freezing point of water as its zero point, but defines the boiling point of water as 33 Newton degrees (or \({33^\circ }N\)). (A Newton temperature N is converted to its equivalent Celsius temperature C by using the equation: \(N \times \frac{{100}}{{33}} = C\) The Fahrenheit scale, which is still used in many parts of the worlds, defines water’s freezing point as \({32^\circ }F\) and its boiling point as \({212^\circ }F\). (A Fahrenheit temperature F is converted into its equivalent Celsius temperature C by using the equation: \(\left( {F - 32} \right) \times \frac{5}{9} = C)\) Scientists describe the point at which the particles of a substance have no energy at all, as absolute zero. The Kelvin scale uses absolute zero as its starting temperature point (0 K). On this scale, water freezes at 273.15 K and boils at 373.15 K. (A Kelvin temperature K is converted into its equivalent Celsius temperature C by using the equation: K – 373.13=C) What temperature is absolute zero on the Newton temperature scale?
- A\( - 827.7^\circ N\)
- B\( -90.1^\circ N\)Correct
- C\( - 273.15^\circ N\)
- D\(273.15^\circ N\)
7
Read the following passage and answer the questions that follow. The temperature of a substance indicates how energetic that substance’s particles are. The particles in a hot object are highly energetic, moving rapidly and colliding with each other frequently. The particles in a colder object move more slowly, collide less often and have very low energy. Over the centuries, scientists have created temperature scales to describe how hot or how cold substances are. All temperature scales use the term degree as a basic unit. However, the size of these degrees is different on each of the temperature scales because the scientists who developed them defined the freezing point and boiling points of water in different ways. The most widely used temperature scale is the Celsius scale which defines the freezing point of water as 0 degree Celsius (written as \({0^\circ }C\)) and its boiling point as \({100^\circ }C\). The Newton scale, developed by Isaac Newton in 1700, also defines the freezing point of water as its zero point, but defines the boiling point of water as 33 Newton degrees (or \({33^\circ }N\)). (A Newton temperature N is converted to its equivalent Celsius temperature C by using the equation: \(N \times \frac{{100}}{{33}} = C\) The Fahrenheit scale, which is still used in many parts of the worlds, defines water’s freezing point as \({32^\circ }F\) and its boiling point as \({212^\circ }F\). (A Fahrenheit temperature F is converted into its equivalent Celsius temperature C by using the equation: \(\left( {F - 32} \right) \times \frac{5}{9} = C)\) Scientists describe the point at which the particles of a substance have no energy at all, as absolute zero. The Kelvin scale uses absolute zero as its starting temperature point (0 K). On this scale, water freezes at 273.15 K and boils at 373.15 K. (A Kelvin temperature K is converted into its equivalent Celsius temperature C by using the equation: K – 373.13=C) The hottest temperature on Earth was \(160^\circ F\), recorded in Libya on September 13, 1922. This temperature is equivalent to
- A\(71^\circ C\)Correct
- B113 K
- C71 K
- D\(89^\circ C\)
8
Read the following passage and answer the questions that follow. The temperature of a substance indicates how energetic that substance’s particles are. The particles in a hot object are highly energetic, moving rapidly and colliding with each other frequently. The particles in a colder object move more slowly, collide less often and have very low energy. Over the centuries, scientists have created temperature scales to describe how hot or how cold substances are. All temperature scales use the term degree as a basic unit. However, the size of these degrees is different on each of the temperature scales because the scientists who developed them defined the freezing point and boiling points of water in different ways. The most widely used temperature scale is the Celsius scale which defines the freezing point of water as 0 degree Celsius (written as \({0^\circ }C\)) and its boiling point as \({100^\circ }C\). The Newton scale, developed by Isaac Newton in 1700, also defines the freezing point of water as its zero point, but defines the boiling point of water as 33 Newton degrees (or \({33^\circ }N\)). (A Newton temperature N is converted to its equivalent Celsius temperature C by using the equation: \(N \times \frac{{100}}{{33}} = C\) The Fahrenheit scale, which is still used in many parts of the worlds, defines water’s freezing point as \({32^\circ }F\) and its boiling point as \({212^\circ }F\). (A Fahrenheit temperature F is converted into its equivalent Celsius temperature C by using the equation: \(\left( {F - 32} \right) \times \frac{5}{9} = C)\) Scientists describe the point at which the particles of a substance have no energy at all, as absolute zero. The Kelvin scale uses absolute zero as its starting temperature point (0 K). On this scale, water freezes at 273.15 K and boils at 373.15 K. (A Kelvin temperature K is converted into its equivalent Celsius temperature C by using the equation: K – 373.13=C) Which one of the following graphs may be used to convert correctly between the Celsius and Kelvin scales?
- A

- BCorrect

- C

- D

9
This map of the Indian province of Kerala shows how its area can be approximated using a simple straight-sided shape. The shape has two parallel sides 561 and 216 km ling. The other sides are 180 and 211 km long. Its parallel sides are 100 km apart. Which one of the following sets of calculation will give the best approximation of the area of Kerala in square kilometers?

- A(180 + 211 + 561 + 216) \( \times \) 100
- B(100\( \div \)2) \( \times \) (216 + 561)Correct
- C100 \( \times \) (561 + 216\( \div \)2)
- D180 \( \times \) 211 + 561 \( \times \) 216
10
52. When Udar purchased an item online from Australia for AUD 350.00, the exchange rate was 1000 INR for AUD 17.50. (AUD=Australian Dollar). Udar’s bank charged him 1.5% for the transaction. The total cost for the item was
- A20,015 INR
- B23,300 INRCorrect
- C20,525 INR
- D30,000 INR
11
Haima’s internet plan allows 20 Gb of downloads per calendar month without any excess charges. (1 Gb=1000 Mb). By the end of June 24th, Haima has used 15800 Mb. She doesn’t want to pay an excess for June. What is the average download she can make per day for the remainder of June?
- A4200 Mb
- B840 Mb
- C700 MbCorrect
- D600 Mb
12
Ravi has 3 hens that lay eggs. One hen lays 1 egg every day. The second hen lays 1 egg every 2 days. The third hen lays 1 egg every 3 days. Based on his information, how many eggs would Ravi gather over a 6 day period?
- A11Correct
- B12
- C6
- D18
13
Sana participated in a two-round TV quiz. In the first round she answered 10 questions. She received 4 points for each correct answer and lost a point for each incorrect answer. Sana needed more than 20 points to participate in the second round. What is the least number of questions that Sana had to answer correctly in order to qualify for the second round?
- A6
- B8
- C7Correct
- D5
14
A pizza shop sells two round pizzas which have the same thickness but are different in size. The smaller one has a diameter of 30 cm. The larger one has a diameter of 60 cm and costs twice the price of the smaller one. In terms of “cost effectiveness” or “value for money”, which of the following statement is true?
- Athe larger pizza is better valueCorrect
- Beach pizza is equally good value
- Cthe smaller pizza is better value
- Dmore information is needed to work out which is better value
15
Mila sliced through a conical piece of cake as shown. Which of the following cross sections will she not be able to make?

- A

- B

- CCorrect

- D

16
58. When it is 1 pm in Sydney, Australia, the time in Delhi, is 7:30 am the same day. Ragini caught a flight from Sydney to Delhi at 10 am Sydney time. The flying time for her flight was 13 hours. What time was it in Delhi when Ragini arrived?
- A4:30
- B8:30 pm
- C5:30Correct
- D3:30
17
A class of students was asked who had seen the movie The life of Pi and who had seen the movie Finding Nemo. Twenty students had seen at least one of these movies. 20% of the students had seen neither of these movies. How many students were in the class?
- A36
- B40
- C24
- D25Correct
18
In a class there are 6 more girls than boys, and the ratio of boys to girls is 2 to 5. How many students are there in this class?
- A14Correct
- B11
- C21
- D13