It's a Question of your Career!

Correct Answer: $20 \sqrt{11}$ cm²

Solution :
The area of triangle AOB,
$ = \frac{1}{2} \times \text{base} \times \text{height}$
In triangle AOB, AB is the base and the height is the perpendicular drawn from the centre O to the chord AB. 
Use the Pythagorean theorem,
$OD = \sqrt{12^2 -

Correct Answer:

Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line PQ). So, the left side of the reflected image will appear

Correct Answer: Lagoon

Solution : The correct answer is Lagoon.

Smaller bodies of water called lagoons are frequently isolated from the large ocean by a sandbar, reef, or barrier island. Lagoons are present in both tropical and polar regions of the planet. Lagoons are significant ecosystems that offer several advantages

Correct Answer: 2

Solution : Given: $\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$
⇒ $a^2=b+c$, $b^2=c+a$, and $c^2=a+b$
Now, $\frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$
Multiplying the numerator and denominator of the first, second, and third term by $a$, $b$, and $c$ respectively.
$=\frac{2a}{a+a^2}+\frac{2b}{b+b^2}+\frac{2c}{c+c^2}$
$=\frac{2a}{a+b+c}+\frac{2b}{b+a+c}+\frac{2c}{c+a+b}$
$=\frac{2a+2b+2c}{a+b+c}$
$=\frac{2(a+b+c)}{a+b+c}$
$=2$
Hence, the correct answer is 2.

Correct Answer: $\frac{5}{2}$

Solution : Given: $x^4+y^4+x^2 y^2=17 \frac{1}{16}$..........................(1)
$x^2-x y+y^2=5 \frac{1}{4}$..........................(2)
⇒ $x^4 + y^4 + x^2y^2 = (x^2 - xy + y^2) (x^2 + xy + y^2)$
⇒ $17\frac{1}{16} = 5\frac{1}{4} (x^2 + xy + y^2)$
⇒ $\frac{273}{16} = \frac{21}{4} (x^2 + xy + y^2)$
⇒ $x^2 +

Correct Answer: (2)

Solution : The error lies in the second part of the sentence.

The word ''richest'' should be replaced with ''richer'' to convey the intended meaning that of the two of them, Rahul had more wealth. The comparative degree is usually used when comparing between two traits. "The"

Correct Answer: Shy due to lack of confidence.

Solution : The correct choice is the fourth option.

Shy due to lack of confidence: This accurately reflects the meaning of diffident. It describes someone who is hesitant or lacking in self-assurance, often appearing shy or reserved due to

Correct Answer: 16

Solution : The given figure can be labelled as shown below –

Now, in the above figure, there are a total of 16 triangles. They are ABI, AIH, IJH, BIJ, JFK, EFK, DEK, DKJ, DEJ, JEF, DEF, DFJ, BJH, ABH, AJH, ABJ.

Hence, the first option is

Correct Answer: 45

Solution : Let the average marks of the remaining 30 students be $p$.
So, $65=\frac{(30×85)+(30×p)}{60}$
⇒ $65 × 60 = 2550 + 30p$
⇒ $3900 = 2550 + 30p$
⇒ $30p = 3900 – 2550$
⇒ $p=\frac{1350}{30}$
$\therefore p=45$
Hence, the correct answer is 45.

Correct Answer: 10 : 9

Solution : Total = 5000
We have to find the ratio of the number of girls in school A to the number of girls in school E
Number of girls in school A = 20% of 5000
$=\frac{20}{100}\times 5000 = 1000$
Number of girls in