Correct Answer: 3

Solution : $(a + b + c)^{2} = a^{2}  + b^{2} + c^{2} + 2(ab + bc + ca)$
$⇒(a + b + c)^{2} -3(ab + bc + ca) = a^{2} + b^{2} + c^{2} + 2(ab + bc + ca) –3(ab + bc + ca)$
Putting

Correct Answer:

Haliotis

Solution : The correct option is Haliotis.

"Haliotis" refers to the phylum Mollusca and the genus of sea mollusks usually known as abalones. Abalones are gastropod mollusks prized for their iridescent shells, which are frequently utilised in food and ornamental arts. The term "hyla" typically refers to

Correct Answer: 11 cm

Solution :
TP = 15 cm
PB = 2$x$ + 3 cm
PA = 9 cm
If a secant AB and tangent at the point T of a circle intersect at a point T of a circle intersect at a point P outside the circle, then

Correct Answer: 4

Solution : There is no error in the sentence. 

The sentence is devoid of any grammatical or idiomatic errors. It conveys frustration and a strong resolve to depart. The subject, verb, and tenses are synchronised with each other.

Correct Answer: 51A

Solution : The Correct Option is 51A.

Fundamental duties were suggested by the Swaran Singh Committee in 1976, and their importance became apparent during the internal emergency of 1975–1977. Ten Fundamental Duties were introduced to the Indian Constitution by the 42nd Amendment Act of 1976. Later,

Correct Answer:

Solution : According to the given figures, two types of patterns are followed alternatively –
1. The first two elements are interchanging their positions and the last two elements are interchanging their positions respectively.
2. The first two elements are interchanging their positions with the last two elements.

Correct Answer: (20, 18, 16)

Solution : Given: 
(36, 24, 65); (40, 54, 19)

The pattern followed here is –
(36, 24, 65) = {(36 ÷ 4) + (24 ÷ 6)} × {(36 ÷ 4) – (24 ÷ 6)}
= {9 + 4} × {9 – 4}
= 13 ×

Correct Answer: neutron

Solution : The correct option is neutron.

The neutron has the greatest mass among the proton, neutron, electron, and nucleus of hydrogen. The mass of a proton is 1.672621777(74) × 10^-27 kg. The mass of a neutron is 1.674927498(94) × 10^-27 kg. The mass of

Correct Answer: cadaverous

Solution : The most appropriate option is the first option.

Explanation: Cadaverous means resembling a corpse, having a deathly or pale appearance. In the context of the sentence, it fits well because it suggests that heavy medications and strong drugs might make a patient look lifeless and

Correct Answer: on the recommendation of the Prime Minister

Solution : The correct answer is on the recommendation of the Prime Minister.

The President appoints the council of ministers and gives each member of the council their appropriate portfolios based on the Prime Minister's recommendation. Upon his recommendation, the President