JEE Main 2024 B.Planning April 12 (Paper 2B) Question Paper is available here with solutions PDF and detailed solutions for every question. NTA conducted the JEE Main 2024 B.Planning (Paper 2B) exam on April 12, 2024, from 9:00 AM to 12:00 PM (Session 2). The question paper includes the following:

  • 105 questions in a 3-hour paper (100 to be attempted): Part I Mathematics (30), Part II Aptitude Test (50) and Part III Planning (25)
  • Mathematics: 20 multiple choice questions (MCQs) and 10 numerical value questions, of which any 5 are to be attempted; 4 marks each (100 marks)
  • Aptitude Test: 50 MCQs, 4 marks each (200 marks)
  • Planning: 25 MCQs, 4 marks each (100 marks)
  • Marking: +4 for a correct answer, -1 for an incorrect MCQ or numerical answer, 0 for an unattempted question; maximum marks 400

JEE Main 2024 B.Planning April 12 (Paper 2B) Question Paper with Solution PDF

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JEE Main 2024 B.Planning April 12 (Paper 2B) Questions with Solutions


Mathematics (Q1 - Q30)

Question 1: Match List I with List II
LIST ILIST II
A.I.Neither surjective nor injective
B.II.Surjective but not injective
C.III.Injective but not surjective
D.IV.Injective and surjective

Choose the correct answer from the options given below:
  • (1) A-IV, B-II, C-III, D-I
  • (2) A-I, B-II, C-IV, D-III
  • (3) A-IV, B-III, C-II, D-I
  • (4) A-IV, B-III, C-I, D-II

Question 2:

A college awarded 38 medals for cricket, 15 for tennis and 20 for football. If these medals were bagged by a total of 58 students and only 3 students got medals for all the three games, then how many students received medals for exactly two of the three games?

  • (1) 9
  • (2) 18
  • (3) 12
  • (4) 6

Question 3:

If \( \alpha \) and \( \beta \) are the roots of \( ax^{2}+bx+c=0 \), then the value of \( \frac{1}{(a\alpha+b)^{2}}+\frac{1}{(a\beta+b)^{2}} \) is

  • (1) \( \frac{b^{2}-2c}{c^{2}} \)
  • (2) \( \frac{b^{2}-2ac}{(ac)^{2}} \)
  • (3) \( \frac{b^{2}-2c}{c} \)
  • (4) \( \frac{b^{2}-2ac}{ac} \)

Question 4:

Let \( A=\left[\begin{array}{cccc}1 & 2 & 3 & 4 \\ 5 & 6 & 7 & 8 \\ 9 & 9 & 9 & 9 \\ 8 & 8 & 8 & 8\end{array}\right] \), then determinant of \( A= \)

  • (1) \( -1 \)
  • (2) 0
  • (3) 1
  • (4) 72

Question 5:

In how many ways can we select four cards from an ordinary pack of playing cards so that two of them are of the same denomination and the remaining two are of some other same denomination?

  • (1) 78
  • (2) 150
  • (3) 715
  • (4) 5616

Question 6:

If the coefficient of \( x^{7} \) and \( x^{8} \) in the expansion of \( \left(2+\frac{x}{3}\right)^{n} \) are equal, then \( n \) is

  • (1) 56
  • (2) 55
  • (3) 45
  • (4) 15

Question 7:

The sum of all those terms of the arithmetic progression 2, 6, 10, 14, ....... , 598 which are not divisible by 3, is equal to

  • (1) 30300
  • (2) 30000
  • (3) 29400
  • (4) 30600

Question 8:

The first two terms of a G.P. are \( x^{-3} \) and \( x^{n} \), respectively. If \( x^{42} \) is the sixth term of the same progression, then \( n^{2} \) is equal to

  • (1) 16
  • (2) 9
  • (3) 36
  • (4) 25

Question 9:

Suppose L is the line joining the points \((0, 0)\) and \((1, 2)\). If a line parallel to L meets the curve \(y=2x^{2}+3x+1\) only at a single point P, then the point P is

  • (1) \(\left(\frac{1}{4}, \frac{3}{8}\right)\)
  • (2) \((2, 15)\)
  • (3) \(\left(-\frac{1}{4}, \frac{3}{8}\right)\)
  • (4) \(\left(-\frac{3}{4}, \frac{5}{16}\right)\)

Question 10:

A manufacturer can sell \(x\) items at a price of ₹ \(\left(5-\frac{x}{100}\right)\) each. The cost price of \(x\) items is ₹ \(\left(\frac{x}{5}+500\right)\). The number of items he should sell to reach maximum profit is

  • (1) 100
  • (2) 240
  • (3) 500
  • (4) 480

Question 11:

The value of \(\int_{0}^{1} \log _{e}\left(\frac{1}{x}-1\right) dx\) is

  • (1) 0
  • (2) \(\frac{1}{2}\)
  • (3) 1
  • (4) 2

Question 12:

If \((1+\cos x) \frac{dy}{dx}-(y-3) \sin x=0\) and \(y(0)=0\), then the value of \(y\left(\frac{\pi}{2}\right)\) is

  • (1) \(-3\)
  • (2) 3
  • (3) 9
  • (4) 6

Question 13:

If a straight line passing through point P \((3, -5)\) is such that its intercepted portion between the co-ordinate axes is bisected at P, then the equation of the line is

  • (1) \(5x+3y+30=0\)
  • (2) \(5x-3y-30=0\)
  • (3) \(5x-3y+30=0\)
  • (4) \(-5x-3y+30=0\)

Question 14:

The intercept on the line \(x=y\) by the circle \(x^{2}+y^{2}-2y=0\) is AB. The equation of the circle with AB as a diameter is

  • (1) \(x^{2}+y^{2}+x+y=0\)
  • (2) \(x^{2}+y^{2}-x-y=0\)
  • (3) \(x^{2}+y^{2}-x+y=0\)
  • (4) \(x^{2}+y^{2}+x-y=0\)

Question 15:

If the foot of the perpendicular from the point \((0, 0, 0)\) on the line \(\frac{x+2}{5}=\frac{y+2}{2}=\frac{z+8}{3}\) is \((a, b, c)\), then \(a^{2}+b^{2}+c^{2}\) is

  • (1) 34
  • (2) 14
  • (3) 24
  • (4) 44

Question 16:

If the vectors \(\overrightarrow{AB}=3 \hat{i}+8 \hat{k}\) and \(\overrightarrow{AC}=5 \hat{i}-2 \hat{j}+6 \hat{k}\) are the sides of a triangle \(ABC\), then the length of the median through \(A\) is

  • (1) \(\sqrt{33}\)
  • (2) \(\sqrt{66}\)
  • (3) \(\sqrt{56}\)
  • (4) \(\sqrt{72}\)

Question 17:

If \(\vec{a}=6 \hat{i}+2 \hat{j}-\lambda_{1} \hat{k}\), \(\vec{b}=3 \hat{i}+\left(3-\lambda_{2}\right) \hat{j}+2 \hat{k}\) and \(\vec{c}=2 \hat{i}+\left(1+\lambda_{3}\right) \hat{j}-3 \hat{k}\) are three vectors such that \(\vec{a}=3 \vec{c}\) and \(\vec{b}\) is perpendicular to \(\vec{c}\) then \(\left(\lambda_{1}, \lambda_{2}, \lambda_{3}\right)\) is

  • (1) \(\left(9, 21, -\frac{1}{3}\right)\)
  • (2) \(\left(9, 3, -\frac{1}{3}\right)\)
  • (3) \(\left(\frac{1}{3}, -\frac{1}{3}, \frac{1}{3}\right)\)
  • (4) \((3, 3, 1)\)

Question 18:

Let \(x_{1}, x_{2}, x_{3}, x_{4}, x_{5}\) be observations with mean \(m\) and standard deviation \(s\). Then, which of the following statements are correct:
A. Mean of the observations \(x_{1}+k, x_{2}+k, x_{3}+k, x_{4}+k, x_{5}+k\) is \(m+5k\)
B. Mean of the observations \(kx_{1}, kx_{2}, kx_{3}, kx_{4}, kx_{5}\) is \(km\).
C. The standard deviation of the observations \(x_{1}+k, x_{2}+k, x_{3}+k, x_{4}+k, x_{5}+k\) is \(s\).
D. The standard deviation of the observations \(kx_{1}, kx_{2}, kx_{3}, kx_{4}, kx_{5}\) is \(k^{5}s\).
Choose the correct answer from the options given below :

  • (1) A, B, C, D
  • (2) A, C only
  • (3) B, D only
  • (4) B, C only

Question 19:

Let the area of the region enclosed between the two circles \(x^{2}+y^{2}=a^{2}\) and \((x-a)^{2}+y^{2}=a^{2}\) be \(\frac{m}{3}(4\pi-3\sqrt{3})\) sq. units for some \(a \geq 2\). If \(a\) is a root of \(x^{3}-3x^{2}-6x+8=0\), then

  • (1) \(m^{2}=a^{4}\)
  • (2) \(m^{2}=a^{3}\)
  • (3) \(m^{4}=a^{2}\)
  • (4) \(m^{3}=a^{2}\)

Question 20:

Suppose \(\left|\begin{array}{cc}f'(x) & f(x) \\ f''(x) & f'(x)\end{array}\right|=0\), where \(f(x)\) is continuously differentiable function with \(f'(x) \neq 0\ \forall x \in \mathbb{R}\) and satisfies \(f(0)=1\) and \(f'(0)=4\). If \(f(x)=e^{\lambda x}+\mu\), where \(\lambda, \mu \in \mathbb{R}\) then the value of \(\lambda^{2}+\mu^{2}\) is

  • (1) 2
  • (2) 4
  • (3) 8
  • (4) 16

Question 21:

The equations \(ax^{2}+bx+a=0\), \((a, b \in \mathbb{R})\) and \(x^{3}-2x^{2}+2x-1=0\) have two common roots. Then the value of \(a+b\) is ________.


Question 22:

Let \(A\) be a matrix satisfying \(A^{3}=3A+2I\) where \(A \neq nI\), \(n \in \mathbb{Z}\). If \(A^{2}+\alpha A+\beta I=O\), then maximum value of \(|\alpha+\beta|\) is ________.


Question 23:

An equilateral triangle is inscribed in the ellipse \(\frac{x^{2}}{3}+y^{2}=1\) such that one of the vertex of the triangle is \((0, 1)\) and one of the altitude of the triangle is along the \(y\)-axis. If A is the area of the equilateral triangle. Then \(625A^{2}\) is equal to ________.


Question 24:

The volume of the greatest cylinder that can be inscribed in a cone of height \(\frac{3}{\sqrt[3]{\pi}}\) and semi-vertical angle \(45^{\circ}\) is ________.


Question 25:

If the function \( f(x) \) is defined as \( f(x)=\begin{vmatrix}\frac{1}{1+e^{\sin x}} & \sin x \\ \sqrt{1-x^{2}} & 2\end{vmatrix} \). Then the value of \( \frac{1}{\pi}\int_{-\pi/2}^{\pi/2} f(x)\,dx \) is equal to ________.


Question 26:

A line touches the curve \( y=y(x) \) at a point \( (x, y) \) having slope \( \frac{1+y^{2}}{1+x^{2}} \), where \( x>0 \). If \( y(2)=1 \), \( y(3)=\frac{\alpha}{\beta} \) and \( \gcd\{\alpha, \beta\}=1 \), then the value of \( \alpha+\beta \) is ________.


Question 27:

The equation of the base of an equilateral triangle is \( x+y=1 \) and the opposite vertex has co-ordinates \( (-3, 2) \). The area of the triangle (in square units) is represented by \( A \), then the value of \( \sqrt{3}A \) is ________.


Question 28:

Let R be the point \( (13, -8, 10) \) and P\( (\alpha, \beta, \lambda) \) be the image of the point Q \( (5, 2, 1) \) in the line \( x-2=3-y=z+1 \). Then the square of the area of the triangle PQR is ________.


Question 29:

A hospital conducts a free eye check-up drive at 3 different locations A, B and C of a city. The number of people that came for test at A is thrice as much as that at B, and number of people that came at B is same as that at C. The results show that 4% population at A, 2% at B and 3% at C have poor eye-sight. If a person from the city goes for an army job and is found to have poor eye-sight, and the probability that he is not from location C is \( \frac{p}{q} \), where \( \frac{p}{q} \) is in simplest form, then value of \( (p+q) \) is ________.


Question 30:

The number of pairs \( (x, y) \) satisfying the equations \( \sin x+\sin y=\sin (x+y) \) and \( |x|+|y|=1 \) is ________.


Aptitude Test (Q31 - Q80)

Question 31:

In a certain word code, EXHAUST is written as CZFCSUR. How is NETWORK written in that code ?

  • (1) LCVYQTI
  • (2) LGVYQTM
  • (3) LGRYMTI
  • (4) LCRYQTM

Question 32:

In a code language, if "BRICK" is written as "CQJBL", then "CEMENT" is ________

  • (1) DDOFOS
  • (2) DDODOS
  • (3) DDNDOS
  • (4) DDNFOS

Question 33:

When the paper is folded in a given pattern and is cut at the end. Identify which pattern is formed when the paper is unfold?

  • (1)
  • (2)
  • (3)
  • (4)

Question 34: Match List I with List II
LIST I (Components/Material)LIST II (Functions)
A. CementI. Load Bearing
B. WindowII. Tensile strength
C. FoundationIII. Setting time
D. SteelIV. Glazing

Choose the correct answer from the options given below:
  • (1) A-I, B-IV, C-III, D-II
  • (2) A-I, B-II, C-III, D-IV
  • (3) A-III, B-IV, C-I, D-II
  • (4) A-IV, B-III, C-II, D-I

Question 35: Match List I with List II
LIST I (structure)LIST II (places)
A. Humayun's TombI. Gujarat
B. Bibi Ka MaqbaraII. New Delhi
C. Hussain Doshi GufaIII. Maharashtra
D. Group of monuments, MahabalipuramIV. Tamilnadu

Choose the correct answer from the options given below:
  • (1) A-II, B-IV, C-I, D-III
  • (2) A-I, B-III, C-II, D-IV
  • (3) A-II, B-III, C-I, D-IV
  • (4) A-II, B-I, C-IV, D-III

Question 36: Match List I with List II
LIST ILIST II
A. StairsI. Key stone
B. DoorII. Toothing
C. ArchIII. Jamb
D. Brick workIV. Tread

Choose the correct answer from the options given below:
  • (1) A-IV, B-III, C-I, D-II
  • (2) A-II, B-I, C-III, D-IV
  • (3) A-I, B-III, C-IV, D-II
  • (4) A-III, B-IV, C-II, D-I

Question 37:

Give below are two statements :
Statement I : A partition wall is defined as an internal wall whose function is to divide the space within the building.
Statement II : Partition wall could be load bearing or non-load bearing.
In the light of the above statements, choose the most appropriate answer from the options given below:

  • (1) Both Statement I and Statement II are correct
  • (2) Both Statement I and Statement II are incorrect
  • (3) Statement I is correct but Statement II is incorrect
  • (4) Statement I is incorrect but Statement II is correct

Question 38:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R :
Assertion A : Social integration at work place is necessary.
Reason R : There are many backward classes in society.
In the light of the above statements, choose the correct answer from the options given below :

  • (1) Both A and R are true and R is the correct explanation of A
  • (2) Both A and R are true but R is NOT the correct explanation of A
  • (3) A is true but R is false
  • (4) A is false but R is true

Question 39:

Primary colours are ________.

  • (1) Red, Blue, Yellow
  • (2) Red, Green, Blue
  • (3) Red, Violet, Yellow
  • (4) Red, Green, Yellow

Question 40:

The stairs kept in motion by a revolving drum is known as a ________.

  • (1) Escalator
  • (2) Lift
  • (3) Elevator
  • (4) Revolving stairs

Question 41:

Which of the following structure does not have a dome?

  • (1) Gol Gumbaz
  • (2) Avicii Arena
  • (3) St. Paul's Cathedral
  • (4) The Shard

Question 42:

Given below is the famous temple in India. Identify the style of temple architecture adopted in the temple.

  • (1) Nagara
  • (2) Dravidian
  • (3) Vesara
  • (4) Orissan

Question 43: Match List I with List II
LIST I (Plan)LIST II (Building Name)
A.I.Taj Mahal
B.II.Qutub Minar, New Delhi
C.III.Matri Mandir, Auroville
D.IV.Sanchi Stupa
Choose the correct answer from the options given below:
  • (1) A-IV, B-II, C-III, D-I
  • (2) A-II, B-III, C-IV, D-I
  • (3) A-III, B-II, C-IV, D-I
  • (4) A-IV, B-III, C-II, D-I

Question 44:

The botanical name of "MANGO" tree is

  • (1) Azadirachita Indica
  • (2) Mangifera Indica
  • (3) Delonux Indica
  • (4) Delonux Regia

Question 45:

Scientific study of human body measurements :

  • (1) Depth Perception
  • (2) Anthrology
  • (3) Axenometry
  • (4) Anthropometry

Question 46:

FAR stands for

  • (1) Facade Area Ratio
  • (2) Floor Area Ratio
  • (3) Fire Accessible Ramp
  • (4) Fire Arch Ratio

Question 47:

On an engineer scale, 1 cm = 10 m. Identify the representative fraction (R.F.)

  • (1) 1/100
  • (2) 1/10
  • (3) 1/1000
  • (4) 1/10000

Question 48:

Identify the iconic Landmark :

  • (1) Taipei 101
  • (2) One World Trade Center
  • (3) Sydney Opera House
  • (4) Shanghai World Financial Center

Question 49:

Identify the name of the Landmark :

  • (1) Crystal Palace, London
  • (2) The Louvre, Paris
  • (3) German Pavilion for World Exhibition, Barcelona
  • (4) Vitra Design Museum, Basel

Question 50:

Identify the famous Monument in the given picture.

  • (1) Chand Baoli
  • (2) Stepped Pyramid
  • (3) Golden Lily Pond
  • (4) Airavatesvara Temple

Question 51:

A man is facing towards East and turns through \(45^{\circ}\) anti clockwise, again \(180^{\circ}\) anticlockwise and then turns through \(270^{\circ}\) clockwise. In which direction is he facing now?

  • (1) South-East
  • (2) South-West
  • (3) South
  • (4) North-East

Question 52:

The 'lightness or darkness' of a colour is defined as :

  • (1) Hue
  • (2) Brightness
  • (3) Dullness
  • (4) Value

Question 53:

Select a figure amongst the answer figures which will continue the same series or pattern as established by the problem figures.

  • (1)
  • (2)
  • (3)
  • (4)

Question 54:

Identify the true mirror image of the figure amongst the answer figures with respect to X-X.

  • (1)
  • (2)
  • (3)
  • (4)

Question 55:

Identify the mirror image of given word :

  • (1)
  • (2)
  • (3)
  • (4)

Question 56:

Identify the correct mirror image of the given figure along x-y axis :

  • (1)
  • (2)
  • (3)
  • (4)

Question 57:

The question figure shows the 3D view of an object. Identify the correct view of the object looking in the direction of arrow.

  • (1)
  • (2)
  • (3)
  • (4)

Question 58:

Identify the true mirror image of the figure amongst the answer figures with respect to X-X :

  • (1)
  • (2)
  • (3)
  • (4)

Question 59:

'Kuchipudi' is a unique dance from which state ?

  • (1) Madhya Pradesh
  • (2) Tamil Nadu
  • (3) Kerala
  • (4) Andhra Pradesh

Question 60:

Which of the below given material is not a plaster type ?

  • (1) Gypsum
  • (2) Lime
  • (3) Cement
  • (4) MDF

Question 61:

Who initiated the construction of Qutub-Minar, Delhi?

  • (1) Muhammad Quli Qutub Shah
  • (2) Muhammad Azam Shah
  • (3) Qutub-Ud-din-Aibak
  • (4) Iltutmish

Question 62:

When is the world Environment Day celebrated?

  • (1) 5 June
  • (2) 10 July
  • (3) 22 March
  • (4) 15 August

Question 63:

Visual weight is associated with :

  • (1) Emphasis
  • (2) Texture
  • (3) Balance
  • (4) Pattern

Question 64:

Lines those branch off of a central point are referred to as :

  • (1) Rhythm
  • (2) Repetition
  • (3) Radiation
  • (4) Proportion

Question 65:

V7 concept of Chandigarh city is associated with which architect?

  • (1) Patrick Geddes
  • (2) Le Corbusier
  • (3) Frank O. Gehry
  • (4) Zaha Hadid

Question 66:

Who is known as "Father of contemporary architecture"?

  • (1) Le Corbusier
  • (2) Louis Sullivan
  • (3) Frank Gehry
  • (4) Norman Foster

Question 67:

Who designed 'India Gate'?

  • (1) Edwin Lutyens
  • (2) Raj Rewal
  • (3) George Wittet
  • (4) Norman Foster

Question 68:

Who among the following architects has not won the Pritzker prize till 2019?

  • (1) B.V. Doshi
  • (2) I.M. Pei
  • (3) Arata Isozaki
  • (4) Moshe Safdie

Question 69:

Terra cotta is a type of earthen work which is processed by:

  • (1) Burning at high temperature
  • (2) Mixing with lime
  • (3) Compacting with pressure
  • (4) Drying in the Sun

Question 70:

Which building material is primarily used as a building material for the Great Wall of China?

  • (1) Timber
  • (2) Steel
  • (3) Brick
  • (4) Concrete

Question 71:

Identify the architectural symbol represented in the given figure.

  • (1) Window
  • (2) Sliding door
  • (3) Revolving door
  • (4) Rolling shutter

Question 72:

Percentage of lime content in ordinary Portland cement is

  • (1) 30% – 40%
  • (2) 40% – 50%
  • (3) 60% – 70%
  • (4) 70% – 80%

Question 73:

Sill Level is associated with

  • (1) Roof
  • (2) Column
  • (3) Window
  • (4) Staircase

Question 74:

What is the terminology for the vertical portion between each tread of the stairs?

  • (1) Winder
  • (2) Riser
  • (3) Nosing
  • (4) Going

Question 75:

The question figure shows the 3D view of an object. Identify the correct view of the object looking in the direction of arrow :

  • (1)
  • (2)
  • (3)
  • (4)

Question 76:

Complete the number sequence :
18, 27, 38, 51, ........., 83

  • (1) 62
  • (2) 66
  • (3) 64
  • (4) 72

Question 77:

In the question figure a-3-D object is given, Identify the correct top view of the object amongst the answer figures.

  • (1)
  • (2)
  • (3)
  • (4)

Question 78:

In question figure - 3D object is given, Identify the correct view of the object looking in the direction of the arrow, amongst the answer figures.

  • (1)
  • (2)
  • (3)
  • (4)

Question 79:

In question figure a 3-D object is given. Identify the correct view of the object looking in the direction of arrow, amongst the answer figures.

  • (1)
  • (2)
  • (3)
  • (4)

Question 80:

In the question figure a 3-D object is given. Identify the correct top view of the object amongst the answer figures.

  • (1)
  • (2)
  • (3)
  • (4)

Planning (Q81 - Q105)

Question 81:

Urban heat island is ____________ its surrounding rural areas.

  • (1) Colder than
  • (2) Neutral to
  • (3) Warmer than
  • (4) Having same temperature with

Question 82: Match List I with List II
LIST I (Cities)LIST II (Planner)
A.JaipurI.O. Konigsberger
B.Gandhi NagarII.Doxiadis
C.IslamabadIII.H.K.Mewada
D.BhubneswarIV.Vidyadhar
Choose the correct answer from the options given below:
  • (1) A-I, B-II, C-III, D-IV
  • (2) A-IV, B-III, C-II, D-I
  • (3) A-I, B-III, C-II, D-IV
  • (4) A-IV, B-II, C-III, D-I

Question 83:

Given below are two statement:
Statement I : On November 8, 2016, demonetization was declared in India.
Statement II : On that day, Prime Minister of India announced the demonetization of Rs. 500 & Rs. 1000 notes.
In the light of the above statements, choose the correct answer from the options given below:

  • (1) Both Statement I and Statement II are true
  • (2) Both Statement I and Statement II are false
  • (3) Statement I is true but Statement II is false
  • (4) Statement I is false but Statement II is true

Question 84:

The given diagram shows the demand & supply of food items amongst users. Identify which food item was least supply among all.

  • (1) Lentil
  • (2) Vegetable
  • (3) Rice
  • (4) Atta

Question 85:

In which five year plan period was the slogan 'Garibi hatao' given?

  • (1) First five year plan
  • (2) Third five year plan
  • (3) Ninth five year plan
  • (4) Fifth five year plan

Question 86:

Which of the following is considered to be the first planned city of independent India?

  • (1) Gandhinagar
  • (2) New Delhi
  • (3) Chandigarh
  • (4) Jamshedpur

Question 87:

The full form of "NITI" in NITI Aayog is

  • (1) National Institution for transforming India
  • (2) National Institution for transferring India
  • (3) National Institution for training India
  • (4) National Institution for tourism India

Question 88:

Who was the President of Indian National Congress at the time of independence of India?

  • (1) Jawaharlal Nehru
  • (2) Mahatma Gandhi
  • (3) J.B. Kripalani
  • (4) Moulana Abdul Kalam Azad

Question 89: Match List I with List II
LIST I (Vehicle)LIST II (Manufacture)
A. THARI. Volkswagen
B. YarisII. Mahindra & Mahindra
C. I 20III. Toyota Motor
D. VentoIV. Hyundai
Choose the correct answer from the options given below:
  • (1) A-II, B-III, C-IV, D-I
  • (2) A-III, B-II, C-IV, D-I
  • (3) A-IV, B-II, C-III, D-I
  • (4) A-I, B-II, C-III, D-IV

Question 90:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The full form of NCR is the National Capital Region.
Reason R : 'NCR' in India is the designation for the conurbation which includes New Delhi with surrounding urban areas of neighbouring states of Haryana, Uttar Pradesh and Rajasthan.
In the light of the above statements, choose the most appropriate answer from the options given below:

  • (1) Both A and R are correct and R is the correct explanation of A
  • (2) Both A and R are correct but R is NOT the correct explanation of A
  • (3) A is correct but R is not correct
  • (4) A is not correct but R is correct

Question 91:

Most of the energy used on Earth today originally come from which of these sources?

  • (1) Sun
  • (2) Moon
  • (3) Ocean
  • (4) Soil

Question 92:

The 74th amendment of the constitution is related to __________.

  • (1) Political party changed
  • (2) Urban local institutions
  • (3) Panchayati Raj
  • (4) Right to education

Question 93:

Dandaka form of settlement layout is basically a __________.
A. Radial pattern
B. Grid Iron pattern
C. Star pattern
D. Octagonal pattern
Choose the most appropriate answer from the options given below:

  • (1) A only
  • (2) C only
  • (3) D only
  • (4) B only

Question 94:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Between 1921-1922, the production of tea and coffee grew up.
Reason R : As the non-cooperation moved into economic sphere and foreign goods were boycotted and burnt.
In the light of the above statements, choose the most appropriate answer from the options given below:

  • (1) Both A and R are correct and R is the correct explanation of A
  • (2) Both A and R are correct but R is NOT the correct explanation of A
  • (3) A is correct but R is not correct
  • (4) A is not correct but R is correct

Question 95:

Who was the first Vice-chairman of NITI Aayog?

  • (1) Rajiv Sharma
  • (2) Raghu nandan
  • (3) Arvind Panagariya
  • (4) Amitabh Kant

Question 96:

Name the Entrepreneur of India who set factories during colonical period
A. Dwarakanath Tagore
B. Dinshoo Petit
C. Dhirubhai Ambani
D. Jamset Ji Nusserwanji Tata
E. Seth Hukumchand
Choose the correct answer from the options given below:

  • (1) A, B, C, D only
  • (2) A, B, D, E only
  • (3) A, C, D, E only
  • (4) A, E, B, C only

Question 97:

What are the three R's those are used to save the environment which includes forest?

  • (1) Reserve, Reduce & Recycle
  • (2) Reuse, Reserve & Reduce
  • (3) Reduce, Reuse & Recycle
  • (4) Reserve, Reuse & Reduce

Question 98:

The 'National Development Council' was constituted on

  • (1) 16th August 2015
  • (2) 1st April 1950
  • (3) 6th August 1952
  • (4) 16th August 2010

Question 99:

Following pie chart gives a percentage distribution of time spent by a student on various activities in a day. How much time she spent in playing every day?

  • (1) 5 hrs
  • (2) 6 hrs
  • (3) 7 hrs
  • (4) 8 hrs

Question 100:


The given diagram shows the sales of a company with respect to years. Which of the following is correct?
A. Company made minimum profit in 2010-2020.
B. Company made more than 500 crore profit in 2000-2010.
C. In 1990-2000, company has reached highest sale.
D. In, 2010-2020, company made highest profit.
Choose the correct answer from the options given below:

  • (1) A
  • (2) B
  • (3) C
  • (4) D

Question 101:


In which year the sales of company is minimum ?
A. 2000-2010
B. 1990-2000
C. 1980-1990
D. 2010-2020
Choose the most appropriate answer from the options given below:

  • (1) B only
  • (2) C only
  • (3) A only
  • (4) D only

Question 102:


Given below are two statements:
Statement I : In 2010-2020 company made maximum profit and minimum sale.
Statement II : In 1980-1990 company made 50% profit of its total sale.
In the light of the above statements, choose the most appropriate answer from the options given below

  • (1) Both Statement I and Statement II are correct
  • (2) Both Statement I and Statement II are incorrect
  • (3) Statement I is correct but Statement II is incorrect
  • (4) Statement I is incorrect but Statement II is correct

Question 103:


In 1990-2000 company profit percentage is

  • (1) 46.15%
  • (2) 50%
  • (3) 47%
  • (4) 45%

Question 104:

Given below are two statements:
Statement I : The last five year plan executed is 12th plan. It was launched in 2012.
Statement II : 12th five year plan was for faster, sustainable and more inclusive growth.
In the light of the above statements, choose the correct answer from the options given below :

  • (1) Both Statement I and Statement II are true
  • (2) Both Statement I and Statement II are false
  • (3) Statement I is true but Statement II is false
  • (4) Statement I is false but Statement II is true

Question 105:

From the given diagram find out that mandir is located at which direction to forest?

  • (1) North West
  • (2) East
  • (3) South West
  • (4) South East

JEE Main 2024 B.Planning (Paper 2B) Exam Pattern and Marking Scheme

ParticularsDetails
Exam ModeOnline (Computer-Based Test)
PaperB.Planning (Paper 2B)
Duration3 hours (180 minutes)
Type of QuestionsMultiple Choice Questions (MCQs), numerical value questions
SubjectsMathematics, Aptitude Test, Planning
Total Questions105 questions (100 to be attempted)
Total Marks400 marks
Marking Scheme+4 for correct answer & -1 for incorrect answer; 0 for unattempted