Miscellaneous Test

Result

Miscellaneous Test - 11

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

In the group {0, 1, 2, 4, 5} under addition modulo 6, a subgroup is

A
{0, 2, 5}

B
{1, 4, 5}

C
{0, 1, 3}

D
{0, 2, 4}
Question 2
4 / -1

Which of the following is a subgroup of G₁ = {0, 1, 2, 3, 4, 5}, under addition modulo 6 ?

A
{0, 2}

B
{0, 1}

C
{0, 4}

D
{0, 3}
Question 3
4 / -1

Which of the following is incorrect ? If a ≡ b (mod m) and x is an integer, then

A
( a + x ) ≡ ( b + x ) (mod m)

B
( a - x ) ≡ ( b - x ) mod m)

C
a x ≡ b x mod m)

D
( a ÷ x ) ≡ ( b ÷ x ) mod m)
Question 4
4 / -1

If n > 1 and n divides ( n - 1 )! + 1, then

A
n is always even

B
n has to be a composite number

C
n is divisible by exactly two primes

D
n has to be a prime
Question 5
4 / -1

A
b ² ≡ c ² ( mod a ² )

B
a ² + c ² = b ²

C
a ² ≡ b ² ( mod c ² )

D
c ² ≡ a ² ( mod b ² )
Question 6
4 / -1

If a, b and c ∈ N, then which one of the following is not correct ?

A

B

C

D
Question 7
4 / -1

The difference of two numbers (1100110011)₂ and (1101001011)₂ in binary system, is

A
(100000)₂

B
(101010)₂

C
(11000)₂

D
(10111)₂
Question 8
4 / -1

What is the value of

A
(1001)₂

B
(101)₂

C
(110)₂

D
(100)₂

Solution
Question 9
4 / -1

A
42

B
41.3

C
41

D
40
Question 10
4 / -1

For finding the root of x² - 5x + 2 = 0 near 0 by Newton-Raphson method, the second iteration x₂ is equal to

A
0.400000

B
0.438095

C
0.438000

D
0.430000