Reversing the Terms

Q.

In a class $100$ students, $55$ students have passed in Mathematics and $67$ students have passed in Physics. Then the number of students who have passed in physics only

1. $22$

2. $23$

3. $10$

4. $45$

Q.

Find the largest value of x for which $2(x-1)\le 9-x$ and $x\in W$.

1. 3.66
2. 3
3. 4
4. 11$÷$3

Q. Solve the following inequation and write the solution set : 13x - 5 < 15x + 4 < 7x + 12, x is a member of real number

Q.

$xy$ is a number that is divided by $ab$ where $xy<ab$ and gives a result $0.xyxyxyxy\dots$ then find $ab$.

Q.

If the replacement set is the set of real numbers , solve
$-2x\le 6$

1. $x\le 3$

2. $x\le -3$

3. $x\ge -3$

4. $x>-3$

Q. Find the number of values of $x$ that satisfy the following inequation.
$7-3x\ge \frac{-1}{2}$, $x\in \text{W}.$

1. 3

Q.

If $5x-3\le 5+3x\le 4x+2$, express it as $a\le x\le b$.

1. $-3\le x\le 4$
2. $3\le x\le -4$
3. $3\le x\le 4$
4. $-3\le x\le 3$

Q.

If the replacement set is the set of whole numbers, solve:$7-3x\ge \frac{-1}{2}$

1. {2, 3, 4, 5}

2. {6, 7, 8}

3. {9, 10, 11}

4. {0, 1, 2}

Q. If $x$ belongs to a set of integers, $A$ is the solution set of $2(x-1)<3x-1$ and $B$ is the solution set of $4x-3\le 8+x$, then find $A\cap B$.

1. $\{0,1,2\}$
2. $\{0,2,4\}$
3. $\{1,2,3\}$
4. $\{0,1,2,3\}$

Q. If x > y and x < 0, y < 0, then $\frac{1}{y}$ > $\frac{1}{x}$.

1. True
2. False

Q.

Let $a_{1,}{a}_2,a_3,..$ be terms of a GP. such that $a_1<0$, $a_1+a_2=4$ and $a_3+a_4=16$. If $\sum _{i=1}^9{a}_i=4\lambda$ then $\lambda$ is equal to

1. $171$

2. $\frac{511}{3}$

3. $-171$

4. $-513$

Q.

If x:y=3:7 Find out (3x+y):(x+3y)

1. 2:1

2. 4:3

3. 3:2

4. 2:3

Q.

Given that $-x>10$ then $x<-10$; state true or false

1. True

2. False

Q.

Given that - x < 3 ; which of the following represent the same inequation

1. x > -3

2. x < -3

3. x < 3

4. x > 3

Q. If $x\in Z,y\in Z$, x > 0 and y < 0 then $\frac{1}{y}$ > $\frac{1}{x}$.

1. True
2. False

Q.

If sign of each term on both sides of an inequation is changed, then which of the following is true regarding the sign of inequality?

1. Sign of inequality remains same only if both sides changes to positive terms.

2. Sign of inequality gets reversed only if both sides changes to positive terms.

3. Sign of inequality remains the same.

4. Sign of inequality gets reversed.

Q.

Solve the following inequation:

2 – 5 < 5 + 4 < 11; ε I

1. –4 < < 2 ε I

2. –3 < < 1.5 ε I

3. –2 < < 1 ε I

4. –4 < < 1.6 ε I

5. –3 ≤ < 1.4 ε I

Q. If x > y, then $\frac{1}{y}$ > $\frac{1}{x}$, (where x and y are positive integers).

1. False
2. True

Q.

Given that x > y; then $\frac{1}{x}<\frac{1}{y}$
State true or false

1. True

2. False

Q. Which value of $x$ is in the solution set of the inequality : $-2x+5>17?$

1. $x>-8$
2. $x>-4$
3. $x<12$
4. $x<-6$