Sets Test

Result

Sets Test - 43

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Choose the correct answer from the given four options
Which of the following collection doesn't form a set

A
Collection of 5 odd prime numbers

B
Collection of 3 most intelligent students of your class

C
Collection of 4 vowels of the English alphabet

D
Collection of first 6 months of a year

Solution

Collection of 5 odd prime number. Collection of 4 vowels of English alphabet and collection of first 6 months of a year, all are sets but a collection of 3 most intelligent students of your class is not a set, because intelligence is not well defined.(b)
Question 2
1 / -0

Find the correct option for the given question.
Which of the following collections is a set?

A
Colours of the rainbow

B
Tall trees in the school campus

C
Rich people in the village

D
Easy examples in the book

Solution

Since, the colors of the rainbow are well defined such as Violet, Indigo, Blue, Green, Yellow, Orange and Red.
So, the collection of colors of the rainbow is a set.
Question 3
1 / -0

If $$ \cap = \left \{ 1, 2, 3, 4, 5, 6 \right \}, A = \left \{ 2, 3 \right \} $$ and $$B = \left \{ 3, 4, 5 \right \}$$ then :

A
$$ (A \cap B )' = \left \{ 2, 3, 4, 5 \right \}$$

B
$$B - A = \left \{ 4, 5 \right \}$$

C
$$A - B = \left \{ 2, 4, 5 \right \}$$

D
$$( A \cap B ) = \left \{ 3 \right \}$$

Solution

Option (B) is correct because ,
B -A means B contain the element which is not present in A
Thus , $$ B - A = \left \{4,5 \right \}$$
Question 4
1 / -0

If $$A=\left [ \frac{5}{111} \frac{-3}{336}\right ]$$ and det $$(-3A^{2013}+A^{2014})=\alpha ^{\alpha }\beta ^{2}(1+\gamma +\gamma ^{2})$$ then, where $$\alpha ,\beta ,\gamma $$ are integers

A
$$\alpha = 2013$$

B
$$\beta = 3$$

C
$$\gamma = 10$$

D
none of these
Question 5
1 / -0

$$A - (B \cup C)= $$

A
$$(A - B) \cap (A - C)$$

B
$$(A - B) \cup (A - C)$$

C
$$(A - B) \cup C$$

D
$$(A - B) \cap C$$
Question 6
1 / -0

Which of the following statements is true (if N, W and I are sets of Natural, Whole and Integer numbers respectively ?

A
$$N\, \subset \, W\, \subset \, I$$

B
$$I\, \subset \, N\, \subset \, W$$

C
$$W\, \subset \, N\, \subset \, I$$

D
$$I\, \subset \, W\, \subset \, N$$
Question 7
1 / -0

S = {1, 2, 3, 5, 8, 13, 21, 34 }. Find $$\displaystyle \sum $$ max (A), where the sum is taken over all 28 elements subsets A to S.

A
844

B
480

C
484

D
488

Solution
Question 8
1 / -0

There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:

A
5

B
21

C
33

D
60

Solution
Question 9
1 / -0

If $$S$$ represents the set of all real numbers $$x$$ such that $$1\le x \le 3$$ and $$T$$ represents the set of all real numbers $$x$$ such that $$2 \le x \le 5$$, the set represented by $$S \cap T$$ is

A
$$2 \le x \le 3$$

B
$$1 \le x \le 5$$

C
$$x \le 5 $$

D
$$x\ge 5$$

E
none of these

Solution

$$S\cap T$$(common part of S and T) = $$2\leq x\leq 3$$
Question 10
1 / -0

In a town of $$10,000$$ families it was found that $$40\%$$ families buy newspaper $$A$$, $$20\%$$ families buy newspaper $$B$$ and $$10\%$$ families buy newspaper $$C$$. $$5\%$$ families buy $$A$$ and $$B$$, $$3\%$$ buy $$B$$ and $$C$$ and $$4\%$$ buy $$A$$ and $$C$$. If $$2\%$$ families buy all the three newspaper, find the number of families which buy (i) $$A$$ only (ii) $$B$$ only (iii) none of $$A, B$$ and $$C$$

A
(i) $$3000$$ (ii) $$1800$$ (iii) $$4600$$

B
(i) $$3300$$ (ii) $$1400$$ (iii) $$4000$$

C
(i) $$3500$$ (ii) $$1600$$ (iii) $$3800$$

D
none

Solution

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Sets Test - 43

Result

Sets Test - 43

Score

-

Rank

-

SHARING IS CARING

Question 1

Collection of 5 odd prime numbers

Collection of 3 most intelligent students of your class

Collection of 4 vowels of the English alphabet

Collection of first 6 months of a year

Solution

Question 2

Colours of the rainbow

Tall trees in the school campus

Rich people in the village

Easy examples in the book

Solution

Question 3

$$ (A \cap B )' = \left \{ 2, 3, 4, 5 \right \}$$

$$B - A = \left \{ 4, 5 \right \}$$

$$A - B = \left \{ 2, 4, 5 \right \}$$

$$( A \cap B ) = \left \{ 3 \right \}$$

Solution

Question 4

$$\alpha = 2013$$

$$\beta = 3$$

$$\gamma = 10$$

none of these

Question 5

$$(A - B) \cap (A - C)$$

$$(A - B) \cup (A - C)$$

$$(A - B) \cup C$$

$$(A - B) \cap C$$

Question 6

$$N\, \subset \, W\, \subset \, I$$

$$I\, \subset \, N\, \subset \, W$$

$$W\, \subset \, N\, \subset \, I$$

$$I\, \subset \, W\, \subset \, N$$

Question 7

844

480

484

488

Solution

Question 8

5

21

33

60

Solution

Question 9

$$2 \le x \le 3$$

$$1 \le x \le 5$$

$$x \le 5 $$

$$x\ge 5$$

none of these

Solution

Question 10

(i) $$3000$$ (ii) $$1800$$ (iii) $$4600$$

(i) $$3300$$ (ii) $$1400$$ (iii) $$4000$$

(i) $$3500$$ (ii) $$1600$$ (iii) $$3800$$

none

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.