Correct Answer: 1536

Solution : Given,
$a + b = 24$ and $8ab = 256$
⇒ $2ab=\frac{256}{4}=64$
We know, $(a+b)^2=a^2+b^2+2ab$
Consider $a + b = 24$
Squaring both sides,
⇒ $a^2+b^2+2ab=24^2$
⇒ $a^2+b^2+64=576$
⇒ $a^2+b^2=576-64$
⇒ $a^2+b^2=512$
⇒ $3a^2+3b^2=3\times 512$
⇒ $3a^2+3b^2=1536$
Hence, the correct answer is 1536.

Correct Answer: 6

Solution : Given:
1. BROW ⇒ 5064
2. WORN ⇒ 4705

After comparing the words and code, we get –
In both words, common letters are R, O, and W and common codes are 5, 0, and 4.
The remaining letters and code in the word BROWN

Correct Answer: I be suspected

Solution : The correct answer is the fourth option.

The verb "suspected" should be used instead of "suspect" which functions as the past participle of the verb.

The given sentence is in a passive structure, so the past participle form of the verb should be

Correct Answer: 12 years

Solution : The average of 30 students = 12
$\therefore$ The sum of the ages in a class = 30 × 12 = 360
The sum of ages of the first group = 10 × 5 = 50
The sum of ages of the second group

Correct Answer: Light waves

Solution : The correct answer is Light waves.

Polarised waves can only be transverse waves. Sound waves in the air are longitudinal waves, which cannot be polarised. Only transverse waves can be polarised because they vibrate in all directions that are perpendicular to the direction

Correct Answer: catastrophe

Solution : The correct choice is the second option.

Explanation: In the given sentence, the term "global education crisis" suggests a severe and far-reaching negative event. The word "catastrophe" aligns with this meaning, as it refers to a sudden and widespread disaster or calamity.

So, the correct

Correct Answer: NH2

Solution : The correct answer is NH2.

NH2 connects Delhi, Haryana, Uttar Pradesh, Bihar, Jharkhand and West Bengal. It covers most of the Grand Trunk Road built by Sher Shah Suri. In India, national highways are maintained by the National Highway Authority of India, which is a

Correct Answer: INR 2,000

Solution : Selling price = INR 1890
Discount = 10% of marked price
$\therefore$ Marked price = $\frac{100}{100-10}×1890=\frac{100}{90}×1890=$ INR 2100
The marked price is 5% above the cost price.
$\therefore$ Cost price = $\frac{100}{100+5}×2100=\frac{100}{105}×2100$ = INR 2000
Hence, the correct answer is INR 2000.

Correct Answer: 115

Solution : Here, the sum of the first four rows is multiplied by 5 which is equal to the fifth row.

Like, in the first column; (1 + 2 + 4 + 3 ) × 5 = 50
And, in the second column; (3 + 4 +

Correct Answer: 20 and 30

Solution : Given:
The number is 50.
Let the first part of 50 be $\text{x}$.
The second part will be $50 - \text{x}$.
The sum of their reciprocal is $\frac{1}{12}$
$\Rightarrow \frac 1 {\text {x} }+ \frac 1 {\text {50-x} }=\frac 1 {\text {12} }$