Cardinality

Q.

In a battle, $70\%$ of the combatants lost one eye, $80\%$ an ear, $75\%$ an arm, $85\%$ a leg, $x\%$ lost all the four limbs. The minimum value of $x$ is

1. $10$

2. $12$

3. $15$

4. None of these

Q.

The story The Last Lesson highlights which human tendency?

1. Male Chauvinism

2. Procrastination

3. Courage

4. Cowardice

Q.

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

1. $7\times {}^{6}C_4\times {}^{8}C_4$

2. $8\times {}^{6}C_4\times {}^{7}C_4$

3. $6\times 7\times {}^{8}C_4$

4. $6\times 8\times {}^{7}C_4$

Q.

Cardinal number of a null set is ___.

1. 1

2. 2

3. 3

4. 0

Q.

What are squares and square roots?

Q.

Question 28
The number of distinct prime factors of the smallest 5-digit number is

(A) 2
(B) 4
(C) 6
(D) 8

Q.

Is $Z+$ the same as $N$?

Q.

The cardinal number of the set A = {Letters of the word APPLE} is _________.

1. 5
2. 4
3. 0
4. 1

Q.

If the set $A=\{x:x=\text{where x is a perfect square}x\in N\text{and}x\le 30\}$. Then n(A) is

1. 4

2. 5

3. 3

4. 6

Q.

What is the cardinality of the set A $\cup$ B ?
___

Q.

If $m$ is the square of a natural number $n$, then $n$ is

1. the square of $m$

2. greater than $m$

3. equal to $m$

4. $\sqrt{m}$

Q.

525 is not a perfect square.

1. False

2. True

Q. Cardinality of a null set is

1. not defined
2. \N
3. 1

Q.

Question 8 (vi)

Fill in the boxes with the correct symbol out of <, > and =:
$\frac{5}{-11}$ ___ $\frac{-5}{11}$

Q. Rohit has marks of 92, 85, and 78 in three mathematics tests. In order to have an average of exactly 87 for the four math tests, he should obtain:

1. 91 marks
2. 92 marks
3. 93 marks
4. 95 marks

Q.

If $A=\left\{0\right\},$ then $n\left(A\right)=0.$

1. True

2. False

Q.

Write the set $\left\{x:x=2n,nisanaturalnumber\right\}$ in roster form and description form.

Q.

Question 2(d)

Change the following statement using expressions into statement in ordinary language.(For example, given Salim scores r run in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)

Jaggu is z years old. His uncle is 4z years old and his aunt is (4z -3 ) years old.

Q.

What is the prime factorization of $180$?

Q.

Rose went to a stationary shop.

She purchased $2$ packs of red pens, $4$ packs of black pens, and $3$ packs of blue pens.

The cost of each pack of pens was $\$2.50$.

Find the total amount rose spent on the pens.

Q.

The cardinal number of the set A = {letters of the word BANGALORE} is

1. 8

2. 0

3. Not defined

4. 9

Q.

How do you find the square root $300$?

Q.

The negative of $1$ is $1$ itself. State whether the statement is true (T) or false (F).

1. True
2. False

Q.

If A = {set of prime numbers}, then A is _____.

1. an infinite set

2. a null set

3. a singleton set

4. a finite set

Q.

How do you find the square root $500$?

Q.

If A = {integers between -2 and 4}, then n(A) = ___.

1. 7

2. 6

3. 5

4. 4

Q.

Cardinal number of the set A = { x: x is prime number and x < 9} is ____.

1. Infinite

2. 3

3. 4

4. 2

Q.

Finding the value of the variable by trail and error method.

$\text{x - 6 = 15}$

Q.

If A = { Squares of the first four whole numbers }, then n(A) is

1. 3

2. 4

3. 0

4. 1

Q.

In an entrance exam there were four sections each of 50 marks:
Marks secured by Satyam in each section is shown below
$$\begin{array}{ccccc}Subject& Aptitude& GeneralMathematics& GeneralAwareness& English\\ Marks& \text{45}& \text{40}& \text{35}& \text{40}\end{array}$$

What is the percentage marks scored by him in each section?

1. 95%, 80%, 70%, 80%

2. 95%, 85%, 75%, 85%

3. 90%, 80%, 70%, 80%

4. 95%, 85%, 70%, 85%