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JEE Exam  >  JEE Tests  >  KEAM Mock Test Series 2024  >  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 Mock Test Series 2024 - KEAM Paper 2 Mock Test - 4

KEAM Paper 2 Mock Test - 4 for JEE 2024 is part of KEAM Mock Test Series 2024 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 KEAM Mock Test Series 2024 for JEE & KEAM Paper 2 Mock Test - 4 solutions in Hindi for KEAM Mock Test Series 2024 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 KEAM Mock Test Series 2024 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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