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SCOTLE HIGH SCHOOL - JEE

School Integrated Program

General Instructions:

Read the following instructions carefully.

1 . Total duration of the examination is 60 Mins
2.  All questions are compulsory.
3.  This exam has 4 sections. Each section has 15 Questions.

4.  Total questions: 60 and Maximum marks: 240. Details are below

Sr No. Section Name No. of Question Maximum Marks Negative Marks Positive Marks
1 Mathematics 15 60 1 4
2 Physics 15 60 1 4
3 Chemistry 15 60 1 4
4 Aptitude 15 60 1 4

 

Please fill out the required details.

1 / 60

Category: Mathematics

A sphere of diameter 18cm is dropped into a cylindrical vessel of diameter 36cm, partly filled with water. If the sphere is completely submerged, then the water level rises by:

2 / 60

Category: Mathematics

The perimeter of the triangle with vertices (0, 4), (0, 0) and (3, 0) is

3 / 60

Category: Mathematics

If 2 sin 2θ =√3  then θ =?

4 / 60

Category: Mathematics

If sin θ - cos θ = 0, then the value of (sin4θ+cos4θ) is

5 / 60

Category: Mathematics

(cos 4θ - sin 4θ) is equal to

6 / 60

Category: Mathematics

If and are the zeros of the polynomial x2-(k+6)x+2(2k-1) such that α+β=αβ/2, then the value of k is

7 / 60

Category: Mathematics

If the system of equations has infinitely many solutions, then:
2x + 3y = 7
2ax + (a + b)y = 28

8 / 60

Category: Mathematics

If α, β are the zeros of the polynomial f(x)=x2-p(x+1)-c such that (α+1)(β+1)=0, then c=

9 / 60

Category: Mathematics

If 4,x1,x2, x3, 28 are in AP then x3=?

10 / 60

Category: Mathematics

The area of the base of a rectangular tank is 6500cm2 and the volume of water contained in it is 2.6m3. The depth of water in the tank is:

11 / 60

Category: Mathematics

Sum of n term of the series √2+√8 + √18+√32+......  is

12 / 60

Category: Mathematics

In Fig. AD = 4cm, BD = 3cm and CB = 12cm, find the cot θ.

13 / 60

Category: Mathematics

Cards bearing numbers 2, 3, 4,............. , 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is:

14 / 60

Category: Mathematics

If  x-y=2 and 2/(x+y)=1/5 then:

15 / 60

Category: Mathematics

Sum of lengths of the diagonals of a square is 144 cm. The perimeter of the square is:

16 / 60

Category: Physics

If a spherical lens has a power of, -0.25D, the focal length of this lens will be:

17 / 60

Category: Physics

A convex lens A of focal length 20cm and a concave lens B of focal length 5cm are kept in contact. If a parallel beam of light falling on the combination meets at distance …..in cm

18 / 60

Category: Physics

The strength of the magnetic field produced by current carrying solenoid depends on.

 

19 / 60

Category: Physics

The value of acceleration due to gravity of earth:

20 / 60

Category: Physics

The potential difference across the 3Ω resistor is:

21 / 60

Category: Physics

A constant current flow in a horizontal wire in the plane of the paper from east to west as shown in Figure. The direction of magnetic field at a point will be North to South:

22 / 60

Category: Physics

Natural length of a spring is 60cm and its spring constant is 4000N/ m. A mass of 20kg is hung from it. in The extension produced in the spring is the (Take, g = 9.8m/ s)

23 / 60

Category: Physics

An object is put in three liquids having different densities, one by one. The object floats with 1/9, 2/11 and 3/7 of its volume outside the surface of liquids of densities d1, d2 and d3 respectively. Which of the following is the correct order of the densities of the three liquids ?

24 / 60

Category: Physics

Increase in momentum by 20% will increase the K.E. by:

25 / 60

Category: Physics

To find the height of a building, a student is following the steps as given below. The sequence of the steps are:

i)  Follows the relation h =gt2/2
ii) Simultaneously, a clock starts.
iii)  Stops the clock as the stone lands on the ground.
iv) Drops a stone from the top of the building.

26 / 60

Category: Physics

A circular loop placed in a plane perpendicular to the plane of paper carries a current when the key is on. The current as seen from points A and B (in the plane of paper and on the axis of the coil) is anticlockwise and clockwise respectively. The magnetic field lines point from B to A. The N-pole of the resultant magnet is on the face close to:

27 / 60

Category: Physics

Which of the following statements is incorrect regarding magnetic field lines?

28 / 60

Category: Physics

A passenger in a moving train tosses a coin which falls behind him. It means that motion of the train is:

29 / 60

Category: Physics

The colour of scattered light depends on.

30 / 60

Category: Physics

Which of the following characteristics is not suitable for a fuse wire?

31 / 60

Category: Chemistry

Which of the following is correct?

32 / 60

Category: Chemistry

Electrolysis of water is a decomposition reaction. The molar ratio of hydrogen and oxygen gases liberated during electrolysis of water is

33 / 60

Category: Chemistry

Which of the following statement is not correct?

34 / 60

Category: Chemistry

Metals are refined by using different methods. Which of the following metals are refined by electrolytic refining?

 

(i) Au
(ii) Cu
(iii) Na
(iv) K

 

35 / 60

Category: Chemistry

If we keep cold drink bottle in freezer, what will happen?

36 / 60

Category: Chemistry

Which amongst the following will conduct electricity?

37 / 60

Category: Chemistry

Which of the following metals liberate hydrogen with 5% HNO3?

(i) Cu
(ii) Zn
(iii) Mn
(iv) Mg

38 / 60

Category: Chemistry

Which of the following conditions will increase the rate of evaporation?

39 / 60

Category: Chemistry

The difference in the formula and molecular masses of CH3OH and C2H5OH is

40 / 60

Category: Chemistry

During the preparation of hydrogen chloride gas on a humid day, the gas is usually passed through the guard tube containing calcium chloride. The role of calcium chloride taken in the guard tube is to

41 / 60

Category: Chemistry

The chemical symbol for nitrogen gas is

42 / 60

Category: Chemistry

Which of the following is ethanol?

43 / 60

Category: Chemistry

Which of the following are not ionic compounds?

(i) KCl (ii) HCl
(iii) CCl4 (iv) NaCl

44 / 60

Category: Chemistry

During summer, water kept in earthen pot becomes cool due to phenomenon of

45 / 60

Category: Chemistry

The heteroatoms present in

CH3—CH2—O—CH2—CH2Cl are
(i) oxygen (ii) carbon (iii) hydrogen (iv) chlorine

46 / 60

Category: Aptitude

 In a row of students of Ravi's class, Ravi is 17th from either end of the row. How many students are there in his class?

47 / 60

Category: Aptitude

In a certain code language tap is written as szo then in the same code language freeze is written as

48 / 60

Category: Aptitude

(2 tan 30°)/(1+tan230°) is equal to:

49 / 60

Category: Aptitude

Find the day of the week on 26 January, 1950

50 / 60

Category: Aptitude

In the following question, one number is wrong in the series. Find out the number. 385, 462, 572, 396, 427, 671, 264

51 / 60

Category: Aptitude

Choose the best alternative 6 : 18 :: 4 : ?

52 / 60

Category: Aptitude

If '+' means '-', '÷' means '+', '-' means '×' and '×' means '÷', then which of the following

equation is correct?

53 / 60

Category: Aptitude

The figure given below shows the map of the path between Richard's house and his shop. Study the map and answer the following question:

Here, the circular park is given whose radius is 1 km. In which direction his shop lies with respect to park?

 

54 / 60

Category: Aptitude

Rajan is the brother of Sachin and Manik is the father of Rajan. Jagat is the brother of Priya and Priya is the daughter of Sachin. Who is the uncle of Jagat?

55 / 60

Category: Aptitude

In the following question, determine the number that replaces the question mark.

56 / 60

Category: Aptitude

Study the given relationship and complete the following analogies from the two sets of options given.

Square is to (i), as Circle is to (ii)

(i) [A] Rectangle [B] Cube [C] Cuboid [O] Triangle
(ii) [W] Ellipse [X] Ellipsoid [Y] Sphere [X] Line

57 / 60

Category: Aptitude

What comes in place of the question mark (?) in the following letter series? PMK, MPK, MKP, KMP ?

58 / 60

Category: Aptitude

Sohan introduces Mohan as the son of the only brother of his father's wife. How is Mohan related to Sohan?

59 / 60

Category: Aptitude

Study the following information carefully to answer the question.

1. 'A $ B' means 'A is the mother of B'.
2. 'A # B’ means 'A is the father of B'.
3. 'A @ B' means 'A is the husband of B'.
4. 'A % B' means 'A is the daughter of B'.

If F@D%K#H, then how is F related to H?

60 / 60

Category: Aptitude

Study the following information carefully and answer the question given below:

  1. 'pa ki top ma' means 'Usha is playing cards'.
  2. 'kop ja ki ma' means 'Asha is playing tennis'.
  3. 'ki top sop ha' means 'they are playing football'.
  4. 'pa sur kop' means 'card and tennis'.

Which of the following represents 'tennis' in that language?

Jodo Gyan


Mathematics is commonly perceived as a complex and abstract subject. However, there's a growing consensus that this perception is largely due to the traditional emphasis on rote learning of procedures and rules. By adopting a different approach, we can make the learning process more meaningful and engaging for children.

Jodogyan is an approach where the learning activities begin from the world of children – from stories, games, and contexts connected to their lives and each activity has a motivating purpose for children.

The ultimate goal is to create a learning-through-practice experience for children, fostering a crystal-clear grasp of these concepts while enhancing their cognitive abilities. Central to this approach are group activities that facilitate constructive discussions, collaborative learning, and exposure to diverse problem-solving strategies, all contributing to a comprehensive and lucid understanding of mathematics.

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Google Ecosystem


We're all about using Google tools to enhance the way we teach and learn. Our dedicated teachers receive special training to become experts at using Google tools. It's like giving them superpowers to make education more fun and interesting. We've got these amazing mobile labs with Google Chromebooks that make learning hands-on and interactive. Students and teachers can explore, create, and learn together with ease. It's our way of making education accessible and enjoyable for everyone, thanks to the incredible world of Google tools.

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Mindsprings


Scotle has collaborated with Mindsprings to rethink and change the English language teaching process to suit Indian children’s needs and aspirations.

Mindsprings is a thought leader in English language education. They publish textbooks to help students learn to speak and write the English language. They also provide training sessions to the teachers to enhance their skills.

We are unique in that we aggressively follow a set of logical thinking premises in formulating strategies based on the nature of the child and his/her natural learning processes. Our curriculum follows VFC (Volume, Frequency, and Context )pedagogy to layer the concept year after year (Grades I to VIII).

We have customized syllabus based on a dynamic process of observation and need. The learning of the child is paramount and our differentiation methods are bold, original, and protean. Success is measurable in the competencies, behaviors, and attitudes of children to learn the language.

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SOF


The Olympiad examination encourages students to develop a routine of consistent practice and revision, allowing them to stay closely connected with their academic curriculum. This not only enriches their regular studies but also elevates their comprehension to a higher level. Engaging in these practices aids in the enhancement of cognitive skills such as logical reasoning, analytical thinking, and comprehensive understanding. While preparing for school-level Olympiad exams, students not only learn effective time management but also gain a greater appreciation for their own skill set. Students invest their efforts in a subject of personal interest, resulting in a significant boost to their self-esteem and an increase in their confidence. Through rigorous testing and assessments, they refine their understanding and establish a strong foundation in their chosen topic of interest.

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IC3 (International Career and College Counseling)


We encourage our educators to upskill their knowledge through IC3 (International Career and College Counseling). Our educators are engaging in programs offered by IC3 to elevate their expertise in career and college counseling. We are dedicated to helping students find the right career path through education that will lead to fulfilled, happy, and productive lives. We aim to offer guidance to young minds, assisting them in making informed choices and decisions in their journey of life.

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Rocksport


Venturing into the world of adventure sports and endless fun, with RockSport Adventures. A renowned adventure and campaign group, redefining education for Scotle High School students. RockSport Adventures, committed to fostering teamwork, leadership, and self-confidence through outdoor activities, complements our holistic approach perfectly.

Through this partnership, students gain access to an array of adventure-based programs, aligning with our academic curriculum. From rock climbing to outdoor IC3

leadership workshops, the experiences are both enriching and fun.

For a glimpse into this exciting journey, visit RockSport Adventures. Together, we're shaping a generation of dynamic, confident, and empowered individuals, taking education to new heights.

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India Spell Bee


We believe in providing the students with exposure and a larger platform to hone their skills. So, we host a Spell Bee Contest for students in Grades I to IX, in collaboration with India Spelling Bee. It is a renowned platform for students. Participating in the Spell Bee Contest offers a multitude of advantages that go beyond simply correct spelling. It nurtures language skills, enriches vocabulary, and supports cognitive growth in our students. Moreover, it bolsters their capacity to critically examine word structures, origins, and meanings, ultimately enhancing their overall language comprehension. Stay tuned for more information on this exciting event right here on our school website.

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STEM School Highlands Ranch Denver


STEM is an umbrella term used to group together the distinct but related technical disciplines of Science, Technology, Engineering, and Mathematics. High-quality STEM education is a global prerequisite for individual development and participation in a technology-driven world. It enhances critical thinking, problem-solving, and the ability to innovate openly and responsibly shaping the future.

To bring about a successful transformation in education, teachers play a crucial role. Our project, "Design Thinking in STEM," is a problem-solving approach that emphasizes empathy, collaboration, creativity, and iterative prototyping. It focuses on two specific target groups at the outcome level: teachers, acting as "agents of change," create an environment that encourages creativity and cultivates an innovative mindset among young learners.

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Sunday Bricks


At Scotle we have been actively organizing Six Brick Sessions in collaboration with Sunday Bricks, a unique and engaging program designed to develop a range of crucial skills in our students. These sessions focus on teamwork and creativity using six DUPLO bricks, which have proven to be a powerful learning tool.

These sessions not only involve building intricate LEGO structures but also serve as a platform for enhancing crucial skills. From developing hand-eye coordination and fine motor skills to fostering communication, teamwork, and concentration, these activities go beyond the classroom. Students also refine their listening skills and learn the art of successful collaboration through team tasks. We eagerly anticipate further growth and development as they continue to participate in these sessions.

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