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JEE Exam  >  JEE Tests  >  KEAM Paper 2 Mock Test - 4 - JEE MCQ

KEAM Paper 2 Mock Test - 4 - JEE MCQ


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13 Questions MCQ Test - KEAM Paper 2 Mock Test - 4

KEAM Paper 2 Mock Test - 4 for JEE 2024 is part of JEE preparation. The KEAM Paper 2 Mock Test - 4 questions and answers have been prepared according to the JEE exam syllabus.The KEAM Paper 2 Mock Test - 4 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for KEAM Paper 2 Mock Test - 4 below.
Solutions of KEAM Paper 2 Mock Test - 4 questions in English are available as part of our course for JEE & KEAM Paper 2 Mock Test - 4 solutions in Hindi for JEE course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt KEAM Paper 2 Mock Test - 4 | 13 questions in 180 minutes | Mock test for JEE preparation | Free important questions MCQ to study for JEE Exam | Download free PDF with solutions
KEAM Paper 2 Mock Test - 4 - Question 1
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If no husband and wife play in the same game, then the number of ways in which a mixed double game can be arranged from among nine married couples is

Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 1

Out of 9 men, 2 men can be chosen in 9C2 ways.
Since no husband and wife are to play in the same game, we have to select 2 women from the remaining 7 women. 
This can be done in 7C2 ways. 
If M1, M2 and W1, W2 are chosen, then a team can be constituted in 2 ways, viz. M1 W1 or M1 W2. 
Thus, number of ways of arranging the game = 9C2 x 7C2 x 2 = 1512

KEAM Paper 2 Mock Test - 4 - Question 2
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The number of ways of dividing 20 persons into 10 couples is

Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 2

Here, the order of the couples is not important. So, required number of ways is 20!/21010!

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KEAM Paper 2 Mock Test - 4 - Question 3
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If A2 - A + I = 0, then inverse of A is

Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 3

When A = A-1 and B is a matrix, then 
rank (AB) = rank (B)

KEAM Paper 2 Mock Test - 4 - Question 4
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If the progressions 3, 10, 17, ....... and 63, 65, 67, ....... are such that their nth terms are equal, then n is equal to
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 4

nth term of 1st series =nth term of 2nd series 
⇒ 3 + (n − 1) 7 = 63 + (n − 1) 2 
⇒ (n − 1)5 = 60
⇒ n -1=12
⇒ n = 13

KEAM Paper 2 Mock Test - 4 - Question 5
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If f : R → R is defined by

  • f (x) = x2 – 3x;       if x > 2
  • = x + 2;         if x < 2, 

then f(4) =
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 5

f (4) = x2 - 3x
= (4)2 - 3(4)
= 16 - 12 = 4

KEAM Paper 2 Mock Test - 4 - Question 6
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If f(x) = x/1+x is defined as [0,∞) → [0, ∞), then f(x) is

∞
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 6

Let x1, x2 ∈ [ 0, ∞) such that

KEAM Paper 2 Mock Test - 4 - Question 7
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If nC4, nC5 and nC6 are in AP, then the value of n can be
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 7

KEAM Paper 2 Mock Test - 4 - Question 8
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If A and B are two matrices such that AB = B and BA = A, then A2 + B2 is equal to
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 8

KEAM Paper 2 Mock Test - 4 - Question 9
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Let S1, S2, … be squares such that for each n ≥ 1, the length of a side of Sn equals the length of a diagonal of Sn + 1. If the length of a side of S1 is 10 cm, then the smallest value of n for which Area (Sn) < 1 is
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 9

KEAM Paper 2 Mock Test - 4 - Question 10
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Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 10

KEAM Paper 2 Mock Test - 4 - Question 11
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What is the circumradius of a triangle with length of sides as 6 units, 8 units and 10 units?
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 11

As the given triangle is a right triangle, the circumradius is half of the hypotenuse which is 5 units
Hence, answer option 2 is correct. 

KEAM Paper 2 Mock Test - 4 - Question 12
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If no husband and wife play in the same game, then the number of ways in which a mixed double game can be arranged from among nine married couples is
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 12

KEAM Paper 2 Mock Test - 4 - Question 13
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Which of the following pieces of data does not uniquely determine the acute-angled ΔABC (R = circumradius)?
Detailed Solution for KEAM Paper 2 Mock Test - 4 - Question 13

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