JEE Questions for Maths Miscellaneous Quiz 2 - MCQExams.com

The number of binary operations that can be defined on the set A = {a, b, c} is
  • 33
  • 34
  • 39
  • 93
  • 3
In the group {0, 1, 2, 4, 5} under addition modulo 6, a subgroup is
  • {0, 2, 5}
  • {1, 4, 5}
  • {0, 1, 3}
  • {0, 2, 4}
Which of the following is a subgroup of G1 = {0, 1, 2, 3, 4, 5}, under addition modulo 6 ?
  • {0, 2}
  • {0, 1}
  • {0, 4}
  • {0, 3}
Which of the following is incorrect ? If a ≡ b (mod m) and x is an integer, then
  • ( a + x ) ≡ ( b + x ) (mod m)
  • ( a - x ) ≡ ( b - x ) mod m)
  • a x ≡ b x mod m)
  • ( a ÷ x ) ≡ ( b ÷ x ) mod m)
If n > 1 and n divides ( n - 1 )! + 1, then
  • n is always even
  • n has to be a composite number
  • n is divisible by exactly two primes
  • n has to be a prime

Maths-Miscellaneous-41244.png
  • b 2 ≡ c 2 ( mod a 2 )
  • a 2 + c 2 = b 2
  • a 2 ≡ b 2 ( mod c 2 )
  • c 2 ≡ a 2 ( mod b 2 )
If a, b and c ∈ N, then which one of the following is not correct ?

  • Maths-Miscellaneous-41245.png
  • 2)
    Maths-Miscellaneous-41246.png

  • Maths-Miscellaneous-41247.png

  • Maths-Miscellaneous-41248.png
The difference of two numbers (1100110011)2 and (1101001011)2 in binary system, is
  • (100000)2
  • (101010)2
  • (11000)2
  • (10111)2
What is the value of
Maths-Miscellaneous-41249.png
  • (1001)2
  • (101)2
  • (110)2
  • (100)2

Maths-Miscellaneous-41251.png
  • 42
  • 41.3
  • 41
  • 40
For finding the root of x2 - 5x + 2 = 0 near 0 by Newton-Raphson method, the second iteration x2 is equal to
  • 0.400000
  • 0.438095
  • 0.438000
  • 0.430000

Maths-Miscellaneous-41252.png
  • 53.8733
  • 53.78333
  • 53.60
  • 53.98333
The velocity of a particle, which starts from rest is given by the following table.
Maths-Miscellaneous-41253.png
  • 113
  • 226
  • 143
  • 246
For a certain function ux , given that u0 = 3, u1 = 12, u2 = 81, u3 = 200, u4 =100 and u5 = 8, then ∆5 ux is equal to
  • 750
  • 778
  • 765
  • 755

Maths-Miscellaneous-41254.png
  • 0.6870
  • 0.6677
  • 0.6977
  • 0.5970

Maths-Miscellaneous-41255.png
  • 0.6932
  • 0.6753
  • 0.6692
  • 7.1324
The value of ∆ log f (x) + ∆ 2 ( 3x ) is

  • Maths-Miscellaneous-41256.png
  • 2)
    Maths-Miscellaneous-41257.png

  • Maths-Miscellaneous-41258.png

  • Maths-Miscellaneous-41259.png

Maths-Miscellaneous-41260.png

  • Maths-Miscellaneous-41261.png
  • 2)
    Maths-Miscellaneous-41262.png

  • Maths-Miscellaneous-41263.png

  • Maths-Miscellaneous-41264.png
For finding real root of the equation x2 - x = 2 by Newton-Raphson method, choose x0 = 1, then the value of

  • Maths-Miscellaneous-41265.png
  • 3

  • Maths-Miscellaneous-41266.png

  • Maths-Miscellaneous-41267.png

Maths-Miscellaneous-41268.png
  • 1.155
  • 0.991
  • 1.095
  • 1.201
If one root of the equation x3 + x2 - 1= 0 is near to 1.0, then by Newton-Raphson method the first calculated approximate value of this root is
  • 0.9
  • 0.6
  • 1.2
  • 0.8

Maths-Miscellaneous-41269.png
  • 1.2996
  • 1.0996
  • 1.1896
  • 1.134
∆2 y0 is equal to
  • 2 y2 - 2 y1 - y0
  • y2 - 2 y1 - y0
  • 2 y2 - 2 y1 + y0
  • y2 - 2 y1 + y0
If f (x) = x3 - 9x + 1 and x0 = 3, then using Newton-Raphson method, first iteration is

  • Maths-Miscellaneous-41270.png
  • 2)
    Maths-Miscellaneous-41271.png

  • Maths-Miscellaneous-41272.png

  • Maths-Miscellaneous-41273.png
The adjoining graph is
Maths-Miscellaneous-41274.png
  • connected
  • disconnected
  • neither connected nor disconnected
  • None of the above
A graph G has ' m ' vertices of odd degree and ' n ' vertices of even degree. Then, which of the following statement is necessarily correct?
  • m + n is an odd number
  • m + n is an even number
  • n + 1 is an even number
  • m + 1 is an odd number
For any two real numbers, an operation * defined by a * b = 1+ ab is
  • neither commutative nor associative
  • commutative but not associative
  • both commutative and associative
  • associative but not commutative
If the operation ⨁ is defined by a ⨁ b = a 2 + b 2 for all real numbers a and b, then (2 ⨁⨁ 4 is equal to
  • 120
  • 185
  • 175
  • 129
  • 312

Maths-Miscellaneous-41275.png

  • Maths-Miscellaneous-41276.png
  • 2)
    Maths-Miscellaneous-41277.png

  • Maths-Miscellaneous-41278.png

  • Maths-Miscellaneous-41279.png
Which of the following is incorrect?
  • (N, ∙ ) is a group
  • (N, +) is a semi-group
  • (Z, +) is a group
  • Set of even integers is a group under usual addition

Maths-Miscellaneous-41280.png
  • 6
  • 1
  • 1/6
  • 3/2

Maths-Miscellaneous-41281.png

  • Maths-Miscellaneous-41282.png
  • 2)
    Maths-Miscellaneous-41283.png

  • Maths-Miscellaneous-41284.png

  • Maths-Miscellaneous-41285.png

Maths-Miscellaneous-41286.png
  • 5
  • -5
  • 4
  • -7
  • -4
Which one of the following is incorrect?
  • Addition is commutative in N
  • Multiplication is associative in N
  • If a * b= a b for all a,b ∈ N, then * is commutative in N
  • Addition is associative in N
Let S be a finite set containing n elements. Then, the total number of commutative binary operation on S is

  • Maths-Miscellaneous-41287.png
  • 2)
    Maths-Miscellaneous-41288.png

  • Maths-Miscellaneous-41289.png

  • Maths-Miscellaneous-41290.png
Which of the following is not a group with respect to the given operation?
  • The set of even integers under addition
  • The set of odd integers under addition
  • {0} under addition
  • {1, -1} under multiplication
On the set Q of all rational numbers the operation * which is both associative and commutative is given by a * b, is
  • a + b + ab
  • a 2 + b 2
  • ab + 1
  • 2a + 3b
In the group G = {1,5,7,11} under multiplication modulo 12, the solution of 7-1 ⨁12 ( x ⨁12 11 ) = 5 is equal to
  • 5
  • 1
  • 7
  • 11

Maths-Miscellaneous-41296.png
  • 7
  • 4
  • 35
  • 5
  • 1
In Z, the set of all integers, the inverse of - 7 w.r.t. * defined by a * b = a + b + 7 ,∀a,b ∈ Z is
  • -14
  • 7
  • 14
  • -7

Maths-Miscellaneous-41297.png
  • 1.13
  • 1.98
  • 1.54
  • No root lies in the interval (1, 2)

Maths-Miscellaneous-41299.png

  • Maths-Miscellaneous-41300.png
  • 2)
    Maths-Miscellaneous-41301.png

  • Maths-Miscellaneous-41302.png
  • None of these

Maths-Miscellaneous-41304.png
  • 3 and 3.5
  • 2 and 3
  • 3.5 and 4
  • None of these

Maths-Miscellaneous-41306.png
  • a
  • b
  • c
  • Anyone out of a, b, c

Maths-Miscellaneous-41307.png
  • Between a and b
  • One of from a and b
  • Less than a and greater than b
  • None of these

Maths-Miscellaneous-41308.png
  • Algebraic
  • Linear
  • Quadratic
  • Transcendental

Maths-Miscellaneous-41309.png

  • Maths-Miscellaneous-41310.png
  • 2)
    Maths-Miscellaneous-41311.png

  • Maths-Miscellaneous-41312.png
  • None of these
The number 3.14150 rounded to 3 decimals is
  • 3.14
  • 3.141
  • 3.142
  • None of these

Maths-Miscellaneous-41314.png
  • (0, 1)
  • (–1, 0)
  • (1, 2)
  • (2, 3)

Maths-Miscellaneous-41316.png

  • Maths-Miscellaneous-41317.png
  • 2)
    Maths-Miscellaneous-41318.png

  • Maths-Miscellaneous-41319.png
  • None of these
0:0:1


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