Correct Answer: the altitudes meet

Solution : An orthocentre is a point where the altitudes meet.
Hence, the correct answer is 'the altitudes meet'.

Correct Answer: 52

Solution : The average mark obtained by Saloni in four papers was 51.
Total marks in 4 papers = 51 × 4 = 204
In the fifth paper, she got 56 marks.
New average = $\frac{\text{Total marks in 5 papers}}{\text{Total papers}}=\frac{204+56}{5}=52$
Hence, the correct answer is 52.

Correct Answer: $R < Q < P $

Solution : $P = \frac{96}{95 \times 97} = \frac{1}{95} \times \frac{96}{97}$
$Q = \frac{97}{96 \times 98} = \frac{1}{96} \times \frac{97}{98}$
$R = \frac{1}{97}$
Comparing $P$ and $R$,
$\frac{1}{95}\times\frac{96}{97} > \frac{1}{97}⇒P > R$.
Comparing $P$ and $Q$,
$\frac{1}{95}\times\frac{96}{97} > \frac{1}{96}\times \frac{97}{98}⇒P > Q$.

Correct Answer: 240

Solution : The cost price of an article is Rs. $x$.
Since the article is marked up by 200%, the marked price = Rs. $3x$
After giving a 25% discount, it is sold at Rs. 540.
So, $3x\times 0.75 = 540$
⇒ $x = 240$
So, the

Correct Answer: 2 cm

Solution :
Given:
AD = BD = 2 cm
$\angle$A = 90°
AD is perpendicular to BC.
In $\triangle$ABC right angled at A, a perpendicular AD is drawn at BC then AD² = BD × CD
∴ 2² = 2 × CD
⇒ CD

Correct Answer: Obsolete

Solution : The correct choice is the fourth option.

Obsolete means something that is no longer in use, or no longer considered relevant or functional due to newer developments or advancements, making it the correct one-word substitute for no longer in use.

The meanings of the

Correct Answer: It is slower.

Solution : The correct answer is it is slower.

When detritus is rich in lignin and chitin, the decomposition rate typically slows down. The presence of lignin and chitin in detritus acts as a barrier to decomposition. It slows down the breakdown of organic

Correct Answer: $x^2+2 x+1$

Solution : ${\frac{x^4-2 x^2+1}{x^2-2 x+1}}$ .
$= \frac{(x^2-1)^2}{(x-1)^2}$ 
$=\frac{(x+1)^2(x-1)^2}{(x-1)^2}$
$= (x+1)^2$
$= x^2+2x + 1$
Hence, the correct answer is $ x^2+2x +1$.

Correct Answer: unless she

Solution : The first option is correct.

• In the given sentence,the use of the conjunction "unless" is incorrect.
• The conjunction "unless" means except if (used to introduce the case in which a statement being made is not true or valid).
• The

Correct Answer: Rs. 60,000

Solution : Given: The salaries of A, B, and C are:
$\frac{\text{A+B}}{\text{A–B}}=\frac{11}{1}$
And, $\frac{\text{B+C}}{\text{B–C}}=\frac{11}{1}$
Applying componendo and dividendo, we get:
$\frac{\text{A}}{\text{B}}=\frac{12}{10}=\frac{6}{5}$
And, $\frac{\text{B}}{\text{C}}=\frac{12}{10}=\frac{6}{5}$
$\therefore$ A : B : C = 36 : 30 : 25
Let $\text{A = 36x; B = 30x; C = 25x}$.
Given: