Class 09 PSA Quantitative Reasoning Test 02 (2013)

Six students participated in a 400-metre race. • Ram finished after Amar and after 2 other students. • Amar finished after Sameer. • Firoz finished before Sameer. • Vinod finished before Hari. Who came fifth?

Indian electricity prices have risen from Rs. 6.4 to Rs. 6.5 per unit. Arvi’s factory expected to use 600 units in the next billing period. He installed solar panels at the Start of that period. This reduced his electricity usage by 90% How much did Arvi’s bill increase?

Badhrak has standard pack of 52 playing cards. He removes the king of clubs, the four of spades, and all the aces. He then draws a card at random. Which of the following is it most likely to be?

Kavi fires three arrows. Each one hits a scoring ring. Which one of the following total is not possible?

Gajra’s position on her farm is shown by the dot on this diagram. When Gajra walks in the direction N \({54^\circ }\)W, she will be heading towards the

For her parents’ 50th wedding anniversary celebration Malina decides to buy 50 balloons. Her supplier only sells balloons in bunches of 12 for Rs 250, 7 for Rs 175. Malina buys exactly 50 balloons. What is the total price she pays?

A parcel weighing 12 kg is to be sent from New Delhi to Mumbai, a distance of 1450 km. The Parcel Postage Rates are shown in the following table. ndian Parcel Postage Rates Distance Category Rate up to 2 kg INR For every additional kg over 2 kg INR Local 35 5 500 /Upto 500km 50 8 501-1000 /km 60 12 1001-2000 /km 70 25 2000 /More than 2000 km 90 35 How much will it cost to spend the parcel?

The graph below shows the number of books read by 39 students during the school holidays. Ali and Ram read more books than the other students in the class. Hari read more than 1 book. Sameer read twice as many books as Hari. Which statement is correct?

At Shavi’s school the first class starts at 8:30 a.m. and the fourth class ends at 11:30 a.m. There are four minutes between classes. Each class is the same length. How long is each class?

Daha sketched points on the graph to represent his height and weight and those of his sisters Farha, Madhu and Padmal. The graph follows: Daha is taller than Farha, but shorter than Madhu. Madhu has the same weight as Padmal. Which of the points on the graph represent Daha?

Read the following passage and answer the questions that follow: Everything on this planet is made up of atoms. Each atom contains a positively charged centre, or nucleus, which is surrounded by negatively charged electrons. For most objects, the number of positive charge is equal to the number of negative charges and because they cancel each other out, the object ends up with no overall electric charge. However, it is possible for objects to gain an overall negative or positive charge. When objects made of different materials are rubbed together, electrons may jump from one object to the other. Objects become positively charged if they lose electrons and negatively charged if they gain electrons. You can predict which way the charges will jump by referring to a triboelectric chart such as the one shown here. Human skin Leather Rabbit’s fur Glass Human hair Nylon Wool Cat’s fur Silk Cotton Perspex Acrylic Polystyrene Rubber balloon Polyester Plastic wrap Ebonite The list of common materials is arranged in order of how likely they are to lose electrons. In general, when two materials are rubbed together, the material that is higher on the list will lose electrons to the materials listed below it. For example, if a Perspex rod is rubbed with a piece of wool, the wool will lose electrons to the Perspex so the wool will end up with an overall positive charge and the Perspex will end up negatively charged. The further apart the materials are on the list, the more easily the electrons are transferred between them (which means that you don’t have to rub them together very long to get them to charge up). If you were to rug glass with rabbit’s fur, far fewer electrons will move to the glass than if you were to rub the rabbit fur on something like ebonite. Which of these four materials, when rubbed each of the other three, will become positively charged each time?

Read the following passage and answer the questions that follow: Everything on this planet is made up of atoms. Each atom contains a positively charged centre, or nucleus, which is surrounded by negatively charged electrons. For most objects, the number of positive charge is equal to the number of negative charges and because they cancel each other out, the object ends up with no overall electric charge. However, it is possible for objects to gain an overall negative or positive charge. When objects made of different materials are rubbed together, electrons may jump from one object to the other. Objects become positively charged if they lose electrons and negatively charged if they gain electrons. You can predict which way the charges will jump by referring to a triboelectric chart such as the one shown here. Human skin Leather Rabbit’s fur Glass Human hair Nylon Wool Cat’s fur Silk Cotton Perspex Acrylic Polystyrene Rubber balloon Polyester Plastic wrap Ebonite The list of common materials is arranged in order of how likely they are to lose electrons. In general, when two materials are rubbed together, the material that is higher on the list will lose electrons to the materials listed below it. For example, if a Perspex rod is rubbed with a piece of wool, the wool will lose electrons to the Perspex so the wool will end up with an overall positive charge and the Perspex will end up negatively charged. The further apart the materials are on the list, the more easily the electrons are transferred between them (which means that you don’t have to rub them together very long to get them to charge up). If you were to rug glass with rabbit’s fur, far fewer electrons will move to the glass than if you were to rub the rabbit fur on something like ebonite. Which of the following objects has an overall negative charge?

Read the following passage and answer the questions that follow: Everything on this planet is made up of atoms. Each atom contains a positively charged centre, or nucleus, which is surrounded by negatively charged electrons. For most objects, the number of positive charge is equal to the number of negative charges and because they cancel each other out, the object ends up with no overall electric charge. However, it is possible for objects to gain an overall negative or positive charge. When objects made of different materials are rubbed together, electrons may jump from one object to the other. Objects become positively charged if they lose electrons and negatively charged if they gain electrons. You can predict which way the charges will jump by referring to a triboelectric chart such as the one shown here. Human skin Leather Rabbit’s fur Glass Human hair Nylon Wool Cat’s fur Silk Cotton Perspex Acrylic Polystyrene Rubber balloon Polyester Plastic wrap Ebonite The list of common materials is arranged in order of how likely they are to lose electrons. In general, when two materials are rubbed together, the material that is higher on the list will lose electrons to the materials listed below it. For example, if a Perspex rod is rubbed with a piece of wool, the wool will lose electrons to the Perspex so the wool will end up with an overall positive charge and the Perspex will end up negatively charged. The further apart the materials are on the list, the more easily the electrons are transferred between them (which means that you don’t have to rub them together very long to get them to charge up). If you were to rug glass with rabbit’s fur, far fewer electrons will move to the glass than if you were to rub the rabbit fur on something like ebonite. Cotton will gain most electrons when it is rubbed for one minute against

Objects that have opposite electric charges move towards each other while objects that have the same electric charge push each other away. A charged object and uncharged object will move toward each other. The diagram below show that happens when different balloons are hung on strings near each other or near a charged object What are the overall charges on the ballons?

Read the following passage and answer the questions that follow: Lenses are objects made of transparent materials such as glass or clear plastic that has curved surfaces. There are two main kinds of lenses. Diverging lenses are thicker at their edges than in their centres and they make light rays passing through them spread out. Converging lenses are thicker in the middle than at their edges and were the earliest kind of lens made. The earliest examples of these date back two thousand years. They have been used in spectacles to help people with poor vision see better since at least the tenth century. These days, as well as being used in spectacles, converging lenses are used in many other devices. Magnifying glasses, microscopes and some types of telescopes use converging lenses to make small things appear much larger or to make distant objects appear much closer. Converging lenses magnify by bending the rays of light that pass through them to meet at a point. This point is called the focus. The thicker that a converging lens is in its centre, the more it magnifies and the closer the focus is to the lens. The magnifying power of a single converging lens such as that used in a camera or magnifying glass is equal to the length of the enlarged image divided by the length of the original object. For example, if a 2 cm long beetle appears to be 6 cm long when viewed through a magnifying glass, the glass’ magnifying power is 3 (written as “3x”). Similarly, a 10x lens would make an object look 10 times longer. It will also look 10 times wider. The diagram below shows the sizes of objects that can be observed effectively using the human eye, a light microscope and an electron microscope. If the smallest of the viruses appears to have a diameter of 2 mm when observed through an electron microscope, the microscope’s magnification power is

Read the following passage and answer the questions that follow: Lenses are objects made of transparent materials such as glass or clear plastic that has curved surfaces. There are two main kinds of lenses. Diverging lenses are thicker at their edges than in their centres and they make light rays passing through them spread out. Converging lenses are thicker in the middle than at their edges and were the earliest kind of lens made. The earliest examples of these date back two thousand years. They have been used in spectacles to help people with poor vision see better since at least the tenth century. These days, as well as being used in spectacles, converging lenses are used in many other devices. Magnifying glasses, microscopes and some types of telescopes use converging lenses to make small things appear much larger or to make distant objects appear much closer. Converging lenses magnify by bending the rays of light that pass through them to meet at a point. This point is called the focus. The thicker that a converging lens is in its centre, the more it magnifies and the closer the focus is to the lens. The magnifying power of a single converging lens such as that used in a camera or magnifying glass is equal to the length of the enlarged image divided by the length of the original object. For example, if a 2 cm long beetle appears to be 6 cm long when viewed through a magnifying glass, the glass’ magnifying power is 3 (written as “3x”). Similarly, a 10x lens would make an object look 10 times longer. It will also look 10 times wider. The diagram below shows the sizes of objects that can be observed effectively using the human eye, a light microscope and an electron microscope. Which of the following diagrams show side views of converging lenses?

Read the following passage and answer the questions that follow: Lenses are objects made of transparent materials such as glass or clear plastic that has curved surfaces. There are two main kinds of lenses. Diverging lenses are thicker at their edges than in their centres and they make light rays passing through them spread out. Converging lenses are thicker in the middle than at their edges and were the earliest kind of lens made. The earliest examples of these date back two thousand years. They have been used in spectacles to help people with poor vision see better since at least the tenth century. These days, as well as being used in spectacles, converging lenses are used in many other devices. Magnifying glasses, microscopes and some types of telescopes use converging lenses to make small things appear much larger or to make distant objects appear much closer. Converging lenses magnify by bending the rays of light that pass through them to meet at a point. This point is called the focus. The thicker that a converging lens is in its centre, the more it magnifies and the closer the focus is to the lens. The magnifying power of a single converging lens such as that used in a camera or magnifying glass is equal to the length of the enlarged image divided by the length of the original object. For example, if a 2 cm long beetle appears to be 6 cm long when viewed through a magnifying glass, the glass’ magnifying power is 3 (written as “3x”). Similarly, a 10x lens would make an object look 10 times longer. It will also look 10 times wider. The diagram below shows the sizes of objects that can be observed effectively using the human eye, a light microscope and an electron microscope. When seen through a 5x magnifying glass, a small leaf appears to have an area of 25 \(m{m^2}\). What is the actual area of the leaf?

Read the following passage and answer the questions that follow: Lenses are objects made of transparent materials such as glass or clear plastic that has curved surfaces. There are two main kinds of lenses. Diverging lenses are thicker at their edges than in their centres and they make light rays passing through them spread out. Converging lenses are thicker in the middle than at their edges and were the earliest kind of lens made. The earliest examples of these date back two thousand years. They have been used in spectacles to help people with poor vision see better since at least the tenth century. These days, as well as being used in spectacles, converging lenses are used in many other devices. Magnifying glasses, microscopes and some types of telescopes use converging lenses to make small things appear much larger or to make distant objects appear much closer. Converging lenses magnify by bending the rays of light that pass through them to meet at a point. This point is called the focus. The thicker that a converging lens is in its centre, the more it magnifies and the closer the focus is to the lens. The magnifying power of a single converging lens such as that used in a camera or magnifying glass is equal to the length of the enlarged image divided by the length of the original object. For example, if a 2 cm long beetle appears to be 6 cm long when viewed through a magnifying glass, the glass’ magnifying power is 3 (written as “3x”). Similarly, a 10x lens would make an object look 10 times longer. It will also look 10 times wider. The diagram below shows the sizes of objects that can be observed effectively using the human eye, a light microscope and an electron microscope. The human eye contains a lens that allows light rays entering the pupil to be focused on the retina which is located at the back of the eye. The lens is surrounded by muscles that can change the thickness of the lens. One of the diagrams below correctly shows the way light rays are focused when the thickness of the lens is changed. Which is the correct diagram?