Question 1 :
When x³ – 3x² + 5x – 7 is divided by x – 2,then the remainder is<br/>

Question 2 :
In an A.P., if a = -7.2, d = 3.6, a_n = 7.2, then n is<br/>

Question 3 :
If x ∈ W, then the solution set of the inequation 5 – 4x ≤ 2 – 3x is<br/>

Question 4 :
If {tex}P\left( \frac { a }{ 3 } ,4 \right) {/tex} segment joining the points Q (-6, 5) and R (-2, 3), then the value of a is<br/>

Question 5 :
If x ∈ { – 3, – 1, 0, 1, 3, 5}, then the solution set of the inequation 3x – 2 ≤ 8 is<br/>

Question 6 :
A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are, respectively<br/>

Question 7 :
The sum of first 6 terms of the G.P. 1, {tex}– \frac { 2 }{ 3 } {/tex} ,{tex} \frac { 4 }{ 9 } {/tex} ,… is<br/>

Question 8 :
If {tex}x\left[ \begin{matrix} 2 \\ 3 \end{matrix} \right] +y\left[ \begin{matrix} -1 \\ 0 \end{matrix} \right] =\left[ \begin{matrix} 10 \\ 6 \end{matrix} \right] {/tex} then the values of x and y are<br/>

Question 9 :
If x ∈ R, the solution set of 6 ≤ – 3 (2x – 4) < 12 is<br/>

Question 10 :
If the last term of the A.P. 5, 3, 1, -1,… is -41, then the A.P. consists of<br/>

Question 11 :
The coordinates of the point which is equidistant from the three vertices of ∆AOB (shown in the given figure) are<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e52d586141c136a5d2e"/>

Question 12 :
If A = [a_ij]_2×2 where a_ij = i + j, then A is equal to<br/>

Question 13 :
The 21st term of an A.P. whose first two terms are -3 and 4 is<br/>

Question 14 :
The 5th term from the end of the G.P. 2, 6, 18, …, 13122 is<br/>

Question 15 :
Which of the following are true?<br> a) If {tex} \mathrm{AB}=0, {/tex} then {tex} \mathrm{A}=0 {/tex} or {tex} \mathrm{B}=0 {/tex} or both {tex} \mathrm{A} \& \mathrm{B} {/tex} are 0 <br>b) The order of {tex} (\mathrm {A \times B}) {/tex} and {tex} (\mathrm {B \times A}) {/tex} is same<br>c) If matrices {tex}\mathrm {A \ \& \ B}{/tex} can be multiplied, they must have the same order<br>d) If matrices {tex}\mathrm {A \ \& \ B}{/tex} can be added, they must have the same order

Question 16 :
The sum of the ages of a father and his son is 34 years whereas four years ago, the product of their ages was 48. Find the current ages of the son and the father.

Question 17 :
The value of the polynomial ( 5 s³+ 2 s²+ 2 s ) at s = 1 is

Question 18 :
The value of the polynomial ( − 3 z⁴+ 2 z³+ 7 z²+ z − 8 ) at z = (-5) is