Class 11 PSA Quantitative Reasoning Test 01 (2014)

Read the following passage and answer the questions that follow: Passwords − literally words that had to be spoken to a guard in order to be allowed to pass − have been used since ancient times to keep people, areas, and ideas secure. In the modern world, the passwords that we enter into computers protect our bank accounts and identities. A password that is easy for someone else to guess is said to be "weak". Many websites help us keep our information secure by advising us of our password's strength rating (weak, moderate, strong or very strong) as we enter it. This rating is determined by an automatic scoring systems. A password's security score depends on how many characters are used, the type of character, and the order in which the characters are arranged. Some of these aspects are considered favourable and attract points, while others attract penalties. Each of these aspects needs to be considered independently. The final score is calculated by subtracting the penalties form the points gained. The following table shows a typical password scoring system: Aspects which need to be considered Symbol Points Penalties Number of characters (includes punctuation marks ) C C × 4 Number of uppercase letters U U × 2 Number of lowercase letters Lc Lc × 2 Number of digits (numbers ) D D × 4 Number of digits between first and last characters M M × 2 Password has letters only C Password has digits only C Number of times that the same character is used T T × 2 Number of consecutive uppercase letters (e.g. PLA, AGB) Cu Cu × 2 Number of consecutive lowercase letters (e.g. way, xe) Cl Cl × 2 Number of sequential letters (e.g. abc, EFGH) S S × 2 Number of sequential digits (e.g. 2,3,4,5) Sd Sd × 2 Points/Penalties Final score . Score 29 or less 30 - 59 60 - 79 80 or more Strength weak moderate strong very strong The following example shows how the password "DOG123" would be scored. (Note: The aspects that don't apply to this password have been shaded) Aspects which need to be considered Points Penalties Number of characters C × 4 = 6 × 4 = 24 Number of uppercase letters U × 2 = 3 × 2 = 6 Number of lowercase letters Number of digits (number) D × 4 = 3 × 4 = 12 Number of digits between first and last characters M × 2 = 2 × 2 = 4 Password has letters only Password has digits only Number of times that the same character is used Number of consecutive uppercase letters Cu × 2 = 3 × 2 = 6 Number of consecutive lowercase letters Number of sequential letters Number of sequential digits Sd × 2 = 3 × 2 = 6 Points/Penalties 46 12 Final score 46 − 12 = 34 A final score of 34 means that DOG123 has a "moderate" strength rating in this scoring system. A password is made up of 10 sequential uppercase letters. e.g. ABCDEFGHIJ What is the highest security rating that this password can have?

Read the following passage and answer the questions that follow: Passwords − literally words that had to be spoken to a guard in order to be allowed to pass − have been used since ancient times to keep people, areas, and ideas secure. In the modern world, the passwords that we enter into computers protect our bank accounts and identities. A password that is easy for someone else to guess is said to be "weak". Many websites help us keep our information secure by advising us of our password's strength rating (weak, moderate, strong or very strong) as we enter it. This rating is determined by an automatic scoring systems. A password's security score depends on how many characters are used, the type of character, and the order in which the characters are arranged. Some of these aspects are considered favourable and attract points, while others attract penalties. Each of these aspects needs to be considered independently. The final score is calculated by subtracting the penalties form the points gained. The following table shows a typical password scoring system: Aspects which need to be considered Symbol Points Penalties Number of characters (includes punctuation marks ) C C × 4 Number of uppercase letters U U × 2 Number of lowercase letters Lc Lc × 2 Number of digits (numbers ) D D × 4 Number of digits between first and last characters M M × 2 Password has letters only C Password has digits only C Number of times that the same character is used T T × 2 Number of consecutive uppercase letters (e.g. PLA, AGB) Cu Cu × 2 Number of consecutive lowercase letters (e.g. way, xe) Cl Cl × 2 Number of sequential letters (e.g. abc, EFGH) S S × 2 Number of sequential digits (e.g. 2,3,4,5) Sd Sd × 2 Points/Penalties Final score . Score 29 or less 30 - 59 60 - 79 80 or more Strength weak moderate strong very strong The following example shows how the password "DOG123" would be scored. (Note: The aspects that don't apply to this password have been shaded) Aspects which need to be considered Points Penalties Number of characters C × 4 = 6 × 4 = 24 Number of uppercase letters U × 2 = 3 × 2 = 6 Number of lowercase letters Number of digits (number) D × 4 = 3 × 4 = 12 Number of digits between first and last characters M × 2 = 2 × 2 = 4 Password has letters only Password has digits only Number of times that the same character is used Number of consecutive uppercase letters Cu × 2 = 3 × 2 = 6 Number of consecutive lowercase letters Number of sequential letters Number of sequential digits Sd × 2 = 3 × 2 = 6 Points/Penalties 46 12 Final score 46 − 12 = 34 A final score of 34 means that DOG123 has a "moderate" strength rating in this scoring system. Veera wants to use veera2 as a password. What is the security score for this password?

Read the following passage and answer the questions that follow: Passwords − literally words that had to be spoken to a guard in order to be allowed to pass − have been used since ancient times to keep people, areas, and ideas secure. In the modern world, the passwords that we enter into computers protect our bank accounts and identities. A password that is easy for someone else to guess is said to be "weak". Many websites help us keep our information secure by advising us of our password's strength rating (weak, moderate, strong or very strong) as we enter it. This rating is determined by an automatic scoring systems. A password's security score depends on how many characters are used, the type of character, and the order in which the characters are arranged. Some of these aspects are considered favourable and attract points, while others attract penalties. Each of these aspects needs to be considered independently. The final score is calculated by subtracting the penalties form the points gained. The following table shows a typical password scoring system: Aspects which need to be considered Symbol Points Penalties Number of characters (includes punctuation marks ) C C × 4 Number of uppercase letters U U × 2 Number of lowercase letters Lc Lc × 2 Number of digits (numbers ) D D × 4 Number of digits between first and last characters M M × 2 Password has letters only C Password has digits only C Number of times that the same character is used T T × 2 Number of consecutive uppercase letters (e.g. PLA, AGB) Cu Cu × 2 Number of consecutive lowercase letters (e.g. way, xe) Cl Cl × 2 Number of sequential letters (e.g. abc, EFGH) S S × 2 Number of sequential digits (e.g. 2,3,4,5) Sd Sd × 2 Points/Penalties Final score . Score 29 or less 30 - 59 60 - 79 80 or more Strength weak moderate strong very strong The following example shows how the password "DOG123" would be scored. (Note: The aspects that don't apply to this password have been shaded) Aspects which need to be considered Points Penalties Number of characters C × 4 = 6 × 4 = 24 Number of uppercase letters U × 2 = 3 × 2 = 6 Number of lowercase letters Number of digits (number) D × 4 = 3 × 4 = 12 Number of digits between first and last characters M × 2 = 2 × 2 = 4 Password has letters only Password has digits only Number of times that the same character is used Number of consecutive uppercase letters Cu × 2 = 3 × 2 = 6 Number of consecutive lowercase letters Number of sequential letters Number of sequential digits Sd × 2 = 3 × 2 = 6 Points/Penalties 46 12 Final score 46 − 12 = 34 A final score of 34 means that DOG123 has a "moderate" strength rating in this scoring system. Rohith wants to use a 6-character password made up of identical characters. Which of the following passwords would give him the highest security score?

Read the following passage and answer the questions that follow: Passwords − literally words that had to be spoken to a guard in order to be allowed to pass − have been used since ancient times to keep people, areas, and ideas secure. In the modern world, the passwords that we enter into computers protect our bank accounts and identities. A password that is easy for someone else to guess is said to be "weak". Many websites help us keep our information secure by advising us of our password's strength rating (weak, moderate, strong or very strong) as we enter it. This rating is determined by an automatic scoring systems. A password's security score depends on how many characters are used, the type of character, and the order in which the characters are arranged. Some of these aspects are considered favourable and attract points, while others attract penalties. Each of these aspects needs to be considered independently. The final score is calculated by subtracting the penalties form the points gained. The following table shows a typical password scoring system: Aspects which need to be considered Symbol Points Penalties Number of characters (includes punctuation marks ) C C × 4 Number of uppercase letters U U × 2 Number of lowercase letters Lc Lc × 2 Number of digits (numbers ) D D × 4 Number of digits between first and last characters M M × 2 Password has letters only C Password has digits only C Number of times that the same character is used T T × 2 Number of consecutive uppercase letters (e.g. PLA, AGB) Cu Cu × 2 Number of consecutive lowercase letters (e.g. way, xe) Cl Cl × 2 Number of sequential letters (e.g. abc, EFGH) S S × 2 Number of sequential digits (e.g. 2,3,4,5) Sd Sd × 2 Points/Penalties Final score . Score 29 or less 30 - 59 60 - 79 80 or more Strength weak moderate strong very strong The following example shows how the password "DOG123" would be scored. (Note: The aspects that don't apply to this password have been shaded) Aspects which need to be considered Points Penalties Number of characters C × 4 = 6 × 4 = 24 Number of uppercase letters U × 2 = 3 × 2 = 6 Number of lowercase letters Number of digits (number) D × 4 = 3 × 4 = 12 Number of digits between first and last characters M × 2 = 2 × 2 = 4 Password has letters only Password has digits only Number of times that the same character is used Number of consecutive uppercase letters Cu × 2 = 3 × 2 = 6 Number of consecutive lowercase letters Number of sequential letters Number of sequential digits Sd × 2 = 3 × 2 = 6 Points/Penalties 46 12 Final score 46 − 12 = 34 A final score of 34 means that DOG123 has a "moderate" strength rating in this scoring system. Supipi created a 6 character password made up of letters and number only. A week later, she recalls the first 5 characters but has forgotten the 6th character as shown: A v 1 3 G ? Supipi remembers that the last character is a repeat of one of the other characters and that the security score was 42. The last character would have been

Fadi's teacher scores each student's final mark according to the given table. For his assignments, Fadi received a mark of 80. His final marks were 72. Assessment Assignments Tests Weightage 20% 80% What marks did he get for his tests?

A small area can be covered by 20 identical square tiles or 9 identical rectangular tiles. The length of the side of each square tile is a whole number, and this is 2 cm shorter than the longer side of each rectangular tile. What is the length of the shorter side of the rectangular tile?

This train blew its whistle as it came out of the tunnel. Fathima, who was standing 700 metres from the tunnel beside the straight railway line, heard it. The speed of the sound was 350 m/sec. Eighteen seconds after Fathima heard the whistle, the train reached the point at which she was standing beside the track. What was the train's average speed over that 700 metre railway line?

In a 100 page book, pages 2 and 3 face each other. Similarly, pages 4 and 5 and 6 and 7 face each other. This pattern is repeated to the end of the book. The sum of two facing pages could be

In a car park, there are 2 white cars for every 3 blue cars and for every 2 blue cars there are 5 silver cars. What is the least number of cars in the car park?

Disha measures the length of a classroom with 20 of her paces. Anuj measures the length of the same classroom with 25 of his paces. Which one of these statements is true?

Lockers for storing small items are found in some schools. The lockers in a school were numbered 1 to 100. These were all opened for cleaning. Manoj came past and closed every 5th locker. Arvi then came past and closed every even numbered locker that was open, and opened every even numbered locker that Manoj had closed. How many lockers were left open after Manoj and Arvi had both gone past?

Part of India's new tax scale is shown below. Taxable Income Tax Rate Up to Rs 2,00,000 Nil Rs 2,00,001 to Rs 5,00,000 Rs 0 + 10% of income above Rs 2,00,000 Rs 5,00,001 to Rs 10,00,000 Rs 30,000 + 20% of income above Rs 5,00,000 Above Rs 10,00,000 Rs 1,30,000 + 30% of income above Rs 10,00,000 Ashu pays Rs 20,000 more tax than Batuk. If Anshu earns Rs 5,00,000 in that financial year, how much does Batuk earn?

To enter a harbour, the captain of a ship needs the water to be at least 5 metres deep. The tide chart is shown below. If the ship was to enter and leave the harbour on the same day, what would be the approximate maximum number of hours that it could remain in port?

Sana wants to buy 19 balloons for a party. Of these • most balloons need to be red. • 11 need to be blue or yellow. • at least one needs to be pink. How many pink balloons can Sana buy?

Read the following passage and answer the questions that follow: Everyone knows the expression what goes up, must come down but have you ever wondered exactly why things must come down? The fact is that all objects on and near the Earth are pulled towards the Earth's centre by the Earth's gravity. The force of gravity makes all falling objects travel faster and faster the longer they are falling. This is called gravitational acceleration. On Earth, the speed of a dropped object progressively increases by about 9.8 m/s for every second that it falls. This is just like what happens to a car's speed as it accelerates away from a stop sign. A dropped hammer will have a speed of 9.8 m/s after its first second of travel, a speed of 19.6 m/s after two seconds and so on. Other large masses such as the Moon, the Sun and other planets also have gravity, although it may be stronger or weaker than on Earth. The gravity that an object experiences on a planet's surface is directly proportional to the planet's mass and inversely proportional to the planet's radius squared. So, a planet that has the same radius as the Earth (6400 km) but has twice the mass will have gravity that is twice as strong as the Earth's. A planet that has the same mass as the Earth \(\left( {6 \times {{10}^{24}}kg} \right)\) but twice the radius will have gravity that is four times weaker than Earth's. The Moon's gravity, for example, is one − sixth that of the Earth's. A hammer dropped on the Moon will fall much more slowly there than it would on the Earth − it would increase in speed by only 1.6 m/s every second that it fell. On Jupiter, where gravity is two and a half times greater than on Earth, the hammer would fall more quickly, increasing its speed by 24.5 m/s every second it fell. The graph below indicates the mass of the planets in our solar system against their radius. Which one of the following planets has gravity that is half that of Jupiter's gravity?

Read the following passage and answer the questions that follow: Everyone knows the expression what goes up, must come down but have you ever wondered exactly why things must come down? The fact is that all objects on and near the Earth are pulled towards the Earth's centre by the Earth's gravity. The force of gravity makes all falling objects travel faster and faster the longer they are falling. This is called gravitational acceleration. On Earth, the speed of a dropped object progressively increases by about 9.8 m/s for every second that it falls. This is just like what happens to a car's speed as it accelerates away from a stop sign. A dropped hammer will have a speed of 9.8 m/s after its first second of travel, a speed of 19.6 m/s after two seconds and so on. Other large masses such as the Moon, the Sun and other planets also have gravity, although it may be stronger or weaker than on Earth. The gravity that an object experiences on a planet's surface is directly proportional to the planet's mass and inversely proportional to the planet's radius squared. So, a planet that has the same radius as the Earth (6400 km) but has twice the mass will have gravity that is twice as strong as the Earth's. A planet that has the same mass as the Earth \(\left( {6 \times {{10}^{24}}kg} \right)\) but twice the radius will have gravity that is four times weaker than Earth's. The Moon's gravity, for example, is one − sixth that of the Earth's. A hammer dropped on the Moon will fall much more slowly there than it would on the Earth − it would increase in speed by only 1.6 m/s every second that it fell. On Jupiter, where gravity is two and a half times greater than on Earth, the hammer would fall more quickly, increasing its speed by 24.5 m/s every second it fell. Mars has one-tenth of the Earth's mass and a radius that is one-half of the Earth's radius. Therefore, the value of Mars gravity divided by Earth gravity will be

Read the following passage and answer the questions that follow: Everyone knows the expression what goes up, must come down but have you ever wondered exactly why things must come down? The fact is that all objects on and near the Earth are pulled towards the Earth's centre by the Earth's gravity. The force of gravity makes all falling objects travel faster and faster the longer they are falling. This is called gravitational acceleration. On Earth, the speed of a dropped object progressively increases by about 9.8 m/s for every second that it falls. This is just like what happens to a car's speed as it accelerates away from a stop sign. A dropped hammer will have a speed of 9.8 m/s after its first second of travel, a speed of 19.6 m/s after two seconds and so on. Other large masses such as the Moon, the Sun and other planets also have gravity, although it may be stronger or weaker than on Earth. The gravity that an object experiences on a planet's surface is directly proportional to the planet's mass and inversely proportional to the planet's radius squared. So, a planet that has the same radius as the Earth (6400 km) but has twice the mass will have gravity that is twice as strong as the Earth's. A planet that has the same mass as the Earth \(\left( {6 \times {{10}^{24}}kg} \right)\) but twice the radius will have gravity that is four times weaker than Earth's. The Moon's gravity, for example, is one − sixth that of the Earth's. A hammer dropped on the Moon will fall much more slowly there than it would on the Earth − it would increase in speed by only 1.6 m/s every second that it fell. On Jupiter, where gravity is two and a half times greater than on Earth, the hammer would fall more quickly, increasing its speed by 24.5 m/s every second it fell. Identical hammers are dropped on the moon and on the Earth. At the end of each second that the hammers fall, the falling speed of each hammer is measured. The results for the first 5 seconds are shown in the table. 1.6 Time after release (seconds) Speed (metres/second) On Earth On Moon 0 0.0 0.0 1 9.8 2 19.6 3.2 3 29.4 4.8 4 39.2 6.4 5 49.0 8.0 In a second experiment, the hammers are dropped on the Earth and the Moon from the same height at exactly the same time. The Earth hammer was travelling at a speed of 68.6 m/s when it hit the ground. Which of the following is the nearest to the speed of the Moon hammer when the Earth hammer strikes the ground?

Read the following passage and answer the questions that follow: Everyone knows the expression what goes up, must come down but have you ever wondered exactly why things must come down? The fact is that all objects on and near the Earth are pulled towards the Earth's centre by the Earth's gravity. The force of gravity makes all falling objects travel faster and faster the longer they are falling. This is called gravitational acceleration. On Earth, the speed of a dropped object progressively increases by about 9.8 m/s for every second that it falls. This is just like what happens to a car's speed as it accelerates away from a stop sign. A dropped hammer will have a speed of 9.8 m/s after its first second of travel, a speed of 19.6 m/s after two seconds and so on. Other large masses such as the Moon, the Sun and other planets also have gravity, although it may be stronger or weaker than on Earth. The gravity that an object experiences on a planet's surface is directly proportional to the planet's mass and inversely proportional to the planet's radius squared. So, a planet that has the same radius as the Earth (6400 km) but has twice the mass will have gravity that is twice as strong as the Earth's. A planet that has the same mass as the Earth \(\left( {6 \times {{10}^{24}}kg} \right)\) but twice the radius will have gravity that is four times weaker than Earth's. The Moon's gravity, for example, is one − sixth that of the Earth's. A hammer dropped on the Moon will fall much more slowly there than it would on the Earth − it would increase in speed by only 1.6 m/s every second that it fell. On Jupiter, where gravity is two and a half times greater than on Earth, the hammer would fall more quickly, increasing its speed by 24.5 m/s every second it fell. A rock is dropped on a planet that has the same mass as the Earth. Its speed increases by 1.09 m/s every second that it falls. Which of the following statements is true?