All India JEE Group

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): Equation of a straight line through the point (3,1,-6) and parallel to each of the two planes 2x - 3y + z + 5 = 0 and x + y + 2z = 2 is
Reason(R): The required line will be parallel to the line of intersection of the two planes.

• a)
  Both Assertion and Reason are true and Reason is the correct explanation of assertion.
• b)
  Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
• c)
  Assertion is true but Reason is false.
• d)
  Assertion is false but Reason is true.

• a)
  650 m
• b)
  700 m
• c)
  750 m ​
• d)
  800 m

• a)
  60° 
• b)
  45° 
• c)
  30°
• d)
  zero

• a)
  A
• b)
  B
• c)
  C
• d)
  D

• a)
  1.8
• b)
  0.8
• c)
  1.6
• d)
  1.1

Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?

• a)
  4.9 ms^–2 in horizontal direction
• b)
  9.8 ms^–2 in vertical direction
• c)
  Zero
• d)
  4.9 ms^–2 in vertical direction

• a)
  12.5 ml of 0.1 M solution
• b)
  25 ml of 0.1 M solution
• c)
  25 ml of 0.2 M solution
• d)
  50 ml of 0.2 M solution

• a)
  P(1) = 3² = 8.1 + 1
• b)
  P(k) = (2k + 1)² = 8a + 1 implies P(k + 1):(2k + 3)2 = 8b + 1 for some natural numbers a,b
• c)
  P(k) = (2k + 1)²ⁿ = 8a + 1 implies P(k + 1) : (2k + 3)2n + 2 = 8b + 1 for some natural number a,b
• d)
  P(k) = (2k – 1)² = 8a + 1 implies P(k + 1); (2k + 1)2 = 8b + 1 for some natural numbers a,b

• a)
  But-1-ene
• b)
  But-2-ene
• c)
  Propene
• d)
  1, 1-Dichlorobutane

• a)
  sin²θ + cos²θ=1
• b)
  sec²θ = 1 + tan²θ
• c)
  sec²θ + tan²θ = 1
• d)
  cosec² θ = 1 + cot² θ

• A:

  tentative

• B:

  informal

• C:

  verbose

• D:

  senseless

The answer is b.

From each of the following pairs select the compound that will react faster with sodium iodide in acetone

• a)
  (a)-I, (b)-I
• b)
  (a)-I, (b)-II
• c)
  (a)-II, (b)-I 
• d)
  (a)-II, (b)-II

• a)
  15
• b)
  9
• c)
  7
• d)
  8

A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of that at A, satisfies

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  Kupfernical
• b)
  Dolomite
• c)
  Malachite
• d)
  Galena

A particle of mass 'm' original at rest, is subjected to a force whose direction is constant but whose magnitude varies with according to the relation
  ,Where F_0​ and T are constant.
Then speed of the particle after a time 2T is:

• a)
  
• b)
  
• c)
  
• d)
  

• a)
  a² + b² + c²
• b)
  a² - b² - c²
• c)
  a² - b² + c²
• d)
  a² + b² - c²

A bottle has an opening of radius a and length b.  A cork of length b and radius (a+∆a) where (∆a<<a) is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and frictional coefficient between the bottle and cork is µ then the force needed to push the cork into  the bottle is :

• a)
  
• b)
  
• c)
  
• d)
  

If y² = P(x) , a polynomial of degree 3, then 

• a)
  P' ' ' (x) + P' (x)
• b)
  P' ' (x) P' ' ' (x)
• c)
  P(x) P' ' ' (x)
• d)
  a constant

• a)
  NaF
• b)
  NaCl
• c)
  KBr
• d)
  CaI₂

• a)
  He⁺(n=2)
• b)
  Li²⁺(n=2)
• c)
  Li²⁺(n=3)
• d)
  Be²⁺(n=2)

• a)
  Both A and R are true and R is the correct explanation of A
• b)
  Both A and R are true but R is NOT the correct explanation of A
• c)
  A is true but R is false
• d)
  A is false and R is True

• a)
  
• b)
  
• c)
  
• d)
  

A block of mass 10 kg is suspended through two light spring balances as  shown in figure

• a)
  both the scales will read 10 kg
• b)
  both the scales will read 5 kg
• c)
  the upper scale will read 10 kg and the lower zero
• d)
  the readings may be anything but their sum will be 10 kg

• a)
  Monomer
• b)
  Dimer
• c)
  Trimer
• d)
  Polymer

There are 12 points in a plane of which 5 are collinear.

Q. How many straight lines can be drawn using all the points?

• a)
  56
• b)
  57
• c)
  55
• d)
  21

• a)
  45º
• b)
  60º
• c)
  90º
• d)
  30º

• a)
  Both Assertion and Reason are true and Reason is the correct explanation of assertion.
• b)
  Both Assertion and Reason are true and Reason is not the correct explanation of assertion
• c)
  Assertion is true but Reason is false.
• d)
  Assertion is false but Reason is true.

• a)
  (2, 7/2)
• b)
  (4, -7)
• c)
  (-2, 7/2)
• d)
  (-2, -7/2)

• a)
  (A) → (q, s, t),

  (B) → (p, r, s, t),

  (C) → (p, r),

  (D) → (p, r, s, t)
• b)
  (A) → (r, s, t),

  (B) → (q, r, s, t),

  (C) → (p, q),

  (D) → (q, r, s, t)
• c)
  (A) → (p, q, t),

  (B) → (q, r, s, t),

  (C) → (p, r),

  (D) → (p, r, s, t)
• d)
  (A) → (p, r, s),

  (B) → (q, r, s, t),

  (C) → (p, s),

  (D) → (p, q)

• a)
  164
• b)
  140
• c)
  112
• d)
  none of these

• a)
  π/4
• b)
  π/2
• c)
  3π/4
• d)
  5π/4

• a)
  – 5/2
• b)
  3/2
• c)
  6
• d)
  –3

• a)
  0.67 H
• b)
  1.67 H
• c)
  3 H 
• d)
  6 H

At 800 K, ΔG° for the reaction

NiO (s) + H₂(g)  Ni (s) + H₂O (g)

is - 9.0 kcal. Thus, ratio of pressures of water vapours and hydrogen in equilibrium with NiO and Ni at 800 K in terms of logarithm is

• a)
  2.44
• b)
  1.06
• c)
  5.63
• d)
  -2.44

Given below is the table corresponding to some binary operation a * b on a set {0,1,2,3,4,5}. How many elements of this operation have an inverse?.

• a)
  1
• b)
  0
• c)
  6
• d)
  4

• a)
  107.2 kJ mol⁻¹
• b)
  53.6 kJ mol⁻¹
• c)
  26.8 kJ mol⁻¹
• d)
  214.4 kJ mol⁻¹

if    ​from

• a)
  an A.P
• b)
  an. G.P
• c)
  an. H.P
• d)
  AGP