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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 NameNo. of QuestionMaximum MarksNegative MarksPositive Marks
1Mathematics156014
2Physics156014
3Chemistry156014
4Aptitude156014

 

Please fill out the required details.

1 / 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:

2 / 60

Category: Mathematics

The total number of factors of a prime number is

3 / 60

Category: Mathematics

If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is:

4 / 60

Category: Mathematics

The diameter of a wheel is 63 cm. Distance traveled by the wheel in 100 revolutions is:

5 / 60

Category: Mathematics

The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its:

6 / 60

Category: Mathematics

In a △ABC it is given that AD is the internal bisector of ∠A. If BD = 4cm, DC = 5cm and AB = 6cm, then AC =?

7 / 60

Category: Mathematics

The altitude of an equilateral triangle, having the length of its side as 12 cm, is:

8 / 60

Category: Mathematics

How many bags of grain can be stored in a cuboidal granary (8m × 6m × 3m), if each bag occupies a space of 0.64m3?

9 / 60

Category: Mathematics

The 21st term of the AP whose first two terms are –3 and 4 is:

10 / 60

Category: Mathematics

The product of a non zero rational number and an irrational number is

11 / 60

Category: Mathematics

A boy walks 300 m towards East and then 250 m towards North. The distance of the boy from the starting point is:

12 / 60

Category: Mathematics

In the given figure, O is the center of a circle, PQ is a chord and PT is the tangent at P. If  POQ = 70°, then TPQ is equal to

13 / 60

Category: Mathematics

If x = a, y = b is the solution of the systems of equations x - y = 2 and x + y = 4, then the values of a and b are, respectively.

14 / 60

Category: Mathematics

If 2x= sec A and 2/x= tan A then 2(x2-1/x2)=?

15 / 60

Category: Mathematics

In what ratio does the y-axis divide the join of P(-4, 2) and Q(8, 3)?

16 / 60

Category: Physics

 One of the following does not apply to a concave mirror. This is:

17 / 60

Category: Physics

The resistivity does not change if:

18 / 60

Category: Physics

A 20kg gun fires a bullet of mass 20g with a city of 400m/ s. The action on the shoulder of the person per second by the gun is:

19 / 60

Category: Physics

A student carries out an experiment and plots the V-I graph of three samples of nichrome wire with resistances R1, R2 and R3 respectively (Figure). Which of the following is true?

20 / 60

Category: Physics

Car A is traveling on a straight level road with a uniform speed of 60km/h. It is followed by another car B. Which is moving with a speed of 70 km/h. When the distance between them is 2.5km, the car B is given a deceleration of 20 km/h-2. After how much time will B catch up with A?

21 / 60

Category: Physics

The gravitational force of attraction between two objects is x. Keeping the masses of the objects unchanged, if the distance between the objects is halved, then the magnitude of gravitational force between them will become:

22 / 60

Category: Physics

Which of the following does not possess the ability to do work not because of motion?

23 / 60

Category: Physics

When three identical bulbs of 60 W- 220V rating are connected in series to a 220V supply, the power drawn by them will be.

24 / 60

Category: Physics

The refractive indices of four media i, ii, iii and iv are 1.44, 1.52, 1.65 and 1.36 respectively. When light traveling in air is incident in these media at equal angles, the angle of refraction will be the minimum:

 

25 / 60

Category: Physics

The north pole of a long bar magnet was pushed slowly into a short solenoid connected to a galvanometer. The magnet was held stationary for a few seconds with the north pole in the middle of the solenoid and then withdrawn rapidly. The maximum deflection of the galvanometer was observed when the magnet was:

26 / 60

Category: Physics

A body of mass 6kg immersed in water partially. If the body displaces 100g of water, then the apparent weight of the body is:

27 / 60

Category: Physics

An electric heater is rated at 2kW. Electrical energy costs Rs 4 per kWh. What is the cost of using the heater for 3 hours?

28 / 60

Category: Physics

The angle between an incident ray and the plane mirror is 30°. The total angle between the incident ray and reflected ray will be:

29 / 60

Category: Physics

In an electrical circuit two resistors of 2Ω and 4Ω respectively are connected in series to a 6V battery. The heat dissipated by the 4Ω resistor in 5s will be:

30 / 60

Category: Physics

Which of the following statements is true for eye lens?

31 / 60

Category: Chemistry

Which of the following is not an acidic salt?

32 / 60

Category: Chemistry

The chemical symbol for nitrogen gas is

33 / 60

Category: Chemistry

Which of the statements about the reaction,

ZnO + CO → Zn + CO2 is correct?

34 / 60

Category: Chemistry

The most abundant element in the universe is

35 / 60

Category: Chemistry

Which of the following is the purest form of carbon?

36 / 60

Category: Chemistry

Which of the following are exothermic processes?

(i) Reaction of water with quicklime
(ii) Dilution of an acid
(iii) Evaporation of water
(iv) Sublimation of camphor (crystals)

37 / 60

Category: Chemistry

Which of the following does not belong to the same homologous series?

38 / 60

Category: Chemistry

MnO2 + 4HCl → MnCl2 + H2O + Cl2

In above reaction the oxidising agent is

39 / 60

Category: Chemistry

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

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

Which of the following gases can be used for storage of fresh sample of an oil for a long time?

42 / 60

Category: Chemistry

The chemical symbol for sodium is

43 / 60

Category: Chemistry

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

44 / 60

Category: Chemistry

Which one of the following metals do not react with cold as well as hot water?

45 / 60

Category: Chemistry

The self linkage property (catenation) is maximum in

46 / 60

Category: Aptitude

Which two months in a year have the same calendar?

47 / 60

Category: Aptitude

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

48 / 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?

 

49 / 60

Category: Aptitude

1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91?

50 / 60

Category: Aptitude

If in a certain language mystify is coded as nztujg, how is nemesis coded in that language?

51 / 60

Category: Aptitude

Satish remembers that his brother's birthday is after fifteenth but before eighteenth of February whereas his sister Kajal remembers that her brother's birthday is after sixteenth but before nineteenth of February. On which day in February is Satish's brother's birthday?

52 / 60

Category: Aptitude

If 1st October is Sunday, then 15 November will be

53 / 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?

54 / 60

Category: Aptitude

Three positions of a dice are given below. Identify the number on the face opposite to 6.

55 / 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?

56 / 60

Category: Aptitude

 In a cricket season India defeated Australia twice, West Indies defeated India twice, Australia defeated West Indies twice, India defeated New Zealand twice and West Indies defeated New Zealand twice. Which country has lost the most number of times?

57 / 60

Category: Aptitude

In the following question, one number is wrong in the series. Find out the number. 3, 12, 36, 144, 431, 1728, 5184

58 / 60

Category: Aptitude

(2 tan 30°)/(1+tan230°) is equal to:

59 / 60

Category: Aptitude

How many numbers from 11 to 50 are there which are exactly divisible by 7 but not divisible by 3?

60 / 60

Category: Aptitude

If the day before yesterday was Saturday, what day will fall on the day after tomorrow?