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, the 11th Fundamental Duty was added to the list by the 86th Amendment Act of 2002.

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.

So, following the above pattern, the required figure will be as follows –

Therefore, the figure in the second option is the required figure. Hence, the second option is correct.

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 × 5
= 65
(40, 54, 19) = {(40 ÷ 4) + (54 ÷ 6)} × {(40 ÷ 4) – (54 ÷ 6)}
= {10 + 9} × {10 – 9}
= 19 × 1 
= 19
Let's check the options –
First Option: (10, 21, 321) = {(10 ÷ 4) + (21 ÷ 6)} × {(10 ÷ 4) – (21 ÷ 6)}
= {2.5 + 3.5} × {2.5 – 3.5}
= 6 × –1 
= –6 ≠ 321
Second Option: (20, 18, 16) = {(20 ÷ 4) + (18 ÷ 6)} × {(20 ÷ 4) – (18 ÷ 6)}
= {5 + 3} × {5 – 3}
= 8 × 2 
= 16
Third Option: (13, 8, 98) = {(13 ÷ 4) + (8 ÷ 6)} × {(13 ÷ 4) – (8 ÷ 6)}
= {3.25 + 1.33} × {3.25 – 1.33}
= 4.58 × 1.92
= 8.7936 ≠ 98
Fourth Option: (30, 14, 56) = {(30 ÷ 4) + (14 ÷ 6)} × {(30 ÷ 4) – (14 ÷ 6)}
= {7.5 + 2.33} × {7.5 – 2.33}
= 9.83 × 5.17
= 50.8211 ≠ 56

So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.

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 an electron is 9.1093837015(28) × 10^-31 kg. The mass of a hydrogen nucleus is 1.674927498(94) × 10^-27 kg. A neutron's mass is somewhat larger than that of a proton. An electron's mass is substantially lower than that of a proton or neutron. Because a hydrogen nucleus contains just one proton, its mass is the same as that of a proton.

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 unresponsive.

The other options are not correct, as they do not convey the intended meaning of the sentence.

So, the sentence should be: "The heavy medications and strong drugs at the sanatorium will surely turn a patient cadaverous."

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 may dismiss any minister from the council of ministers. Article 74 of the Indian Constitution grants the Council of Ministers the power to support and counsel the President.

Correct Answer: business cycle

Solution : The correct answer is a business cycle.

The business cycle refers to the short-term contractions and expansions of economic activity. The business cycle is a cyclical pattern of economic expansion and contraction. It is distinguished by intervals of growth and contraction.

Correct Answer: 35°

Solution :
Given: In a cyclic quadrilateral ABCD, $\angle XBC=82°$ and $\angle ADB=47°$.
A cyclic quadrilateral's exterior angle is equal to its opposite interior angle.
So, $\angle XBC= \angle ADC=82°$.
Also, $\angle ADB=47°$
⇒ $\angle BDC=82°-47°$
⇒ $\angle BDC=35°$
Hence, the correct answer is 35°.

Correct Answer: 150

Solution : Let the total wealth be $x$.
The man wills 40% of his wealth to the wife = 40% of $x$ = 0.4$x$
Wealth for the children = $x$ – 0.4$x$ = 0.6$x$
So, the required percentage $=\frac{\text{wealth for children}}{\text{wealth to the wife}} × 100 = \frac{0.6x}{0.4x} ×100 = 150$%
Hence, the correct answer is 150.