Question 1 :
If in triangles ABC and DEF,{tex}\frac { AB }{ DE } =\frac { BC }{ FD } {/tex} , then they will be similar when<br/>

Question 2 :
In the given figure, if ∠DAB = 60° and ∠ABD = 50° then ∠ACB is equal to<br/> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6b819305523f232922"/>

Question 3 :
If one end of a diameter of a circle is (2, 3) and the centre is (-2, 5), then the other end is<br/>

Question 4 :
If {tex} \frac { 1 }{ 2 } {/tex} is a root of the quadratic equation 4x² – 4kx + k + 5 = 0, then the value of k is<br/>

Question 6 :
The third proportional to {tex}6 \frac { 1 }{ 4 } {/tex} and 5 is<br/>

Question 7 :
The slope of the line passing through the points (3, -2) and (-7, -2) is<br/>

Question 8 :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is<br/>

Question 9 :
If {tex}\begin{bmatrix} x+2y & -y \\ 3x & 7 \end{bmatrix}=\begin{bmatrix} -4 & 3 \\ 6 & 4 \end{bmatrix} {/tex} then the values of x and y are<br/>

Question 10 :
If A = {tex}\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} {/tex} , then A² =<br/>

Question 11 :
Which term of the A.P. 21, 42, 63, 84,… is 210?<br/>

Question 12 :
If on dividing 2x³ + 6x² – (2k – 7)x + 5 by x + 3, the remainder is k – 1 then the value of k is<br/>

Question 14 :
The ratio of the number of edges of a cube to the number of its faces is<br/>

Question 15 :
The fourth vertex D of a parallelogram ABCD whose three vertices are A (-2, 3), B (6, 7) and C (8, 3) is<br/>

Question 16 :
If A = {tex}\begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix} {/tex} , then A² =<br/>

Question 17 :
A retailer purchases a fan for ₹ 1200 from a wholesaler and sells it to a consumer at 15% profit. If the rate of sales tax (under VAT) at every stage is 8%, then choose the correct answer from the given four options. VAT paid by the wholesaler is<br/>

Question 18 :
If Shahrukh opened a recurring deposit account in a bank and deposited Rs 800 per month for {tex}1 \frac { 1 }{ 2 }{/tex} years, then the total money deposited in the account is<br/>

Question 19 :
If Jagbeer invest ₹10320 on ₹100 shares at a discount of ₹ 14, then the number of shares he buys is<br/>

Question 20 :
Arun possesses 600 shares of ₹25 of a company. If the company announces a dividend of 8%, then Arun’s annual income is<br/>

Question 21 :
A wholesaler buys a computer from a manufacturer for ₹ 40000. He marks the price of the computer 20% above his cost price and sells it to a retailer at a discount of 10% on the marked price. The retailer sells the computer to a consumer at the marked price. If the rate of sales tax (under VAT) is 10% at every stage, then choose the correct answer from the given four options. Cost of the computer to the retailer inclusive of tax is<br/>

Question 22 :
Salman has some shares of ₹ 50 of a company paying a 15% dividend. If his annual income is ₹ 3000, then the number of shares he possesses is<br/>

Question 23 :
A shopkeeper bought a TV from a distributor at a discount of 25% of the listed price of ₹ 32000. The shopkeeper sells the TV to a consumer at the listed price. If the sales tax (under VAT) is 6% at every stage, then choose the correct answer from the given four options. VAT paid by the shopkeeper is<br/>