Correct Answer: 8

Solution : Given: $x$ = (433)²⁴ – (377)³⁸ + (166)⁵⁴
We can write 433²⁴ = 433^{(4 × 5) + 4}, 377³⁸ = 377^{(4 × 9) + 2}
So, the unit digit of 433⁴ = 1 and the unit

Correct Answer: BXCY

Solution : Let's check the options –

First option: WPUQ→W – 2 = U; P + 1 = Q
Second option: MEKF→M – 2 = K; E + 1 = F
Third option: BXCY→B + 1 = C; X + 1 = Y
Fourth option: ZLXM→Z –

Correct Answer: –14

Solution : Given:
98, 70, 42, 14, ?, – 42

Subtract 28 from each number to obtain the required missing number in the series.
98 – 28 = 70; 70 – 28 = 42; 42 – 28 = 14; 14 – 28 = –14; –14 – 28

Correct Answer: 74.29%

Solution : Given:
The entire fund that the school gets from different sources is equal to Rs.10 lakh.
The scholarship has to be paid out of the donation fund.
The donation fund is 35% of the total fund = $1000000×\frac{35}{100}=350000$
For scholarship purposes, 26% of funds are

Correct Answer: $-\frac{1}{2}$

Solution : Given: $x = 1-y$
⇒ $x+y = 1$
Squaring both sides, we get,
⇒ $x^2+y^2+2xy=1$ 
Using $x^2 = 2-y^2$
⇒ $2-y^2+y^2+2xy=1$
⇒ $2+2xy =1$
$\therefore xy = -\frac{1}{2}$
Hence, the correct answer is $-\frac{1}{2}$.

Correct Answer: 15

Solution : Given: Rakshit takes 20 hours to clean a drain.
Ajay takes 12 hours to clean the drain.
Rakshit, Ajay, and Satish take 5 hours to clean the drain.
Total work = LCM of (20, 12, 5) = 60 units
Efficiency of Rakshit = $\frac{60}{20}$ =

Correct Answer: young teenagers

Solution : The correct choice is the third option.

Explanation: The original sentence mentions an infant teenager, which is an incorrect use of the word "infant" here. Infant typically refers to a very young child, not a teenager. So, a better word choice to describe

Correct Answer: $\frac{4 \sqrt{2}-3 \sqrt{3}}{2}$ cm

Solution :
Let $OF$ and $OE$ be perpendiculars from centre $O$ to chords $AB$ and $CD$.
We know perpendiculars from the centre to the chord bisect the chord.
Given, the radius of the circle = 3 cm
AB = 2 cm
CD = 3

Correct Answer: Western disturbances

Solution : The answer is Western Disturbances.

The wind flowing from the Mediterranean Sea to Northern India is referred to as the Western Disturbances. These are extratropical storm systems that provide winter precipitation to the Indian subcontinent's Northern and Northwest regions, including Northern India, Pakistan,

Correct Answer: Surat

Solution : The correct answer is Surat.

The disagreement stemmed from the moderates' opposition to the boycotts used by the Swadeshi Movement as a form of protest. In 1907, a breakup occurred within the Indian National Congress. During the Congress session in Surat in 1907, it