Explore topic-wise InterviewSolutions in Current Affairs.

a) Misoprostol 

a) Misoprostole

c) Misoprostol

b) Sucralfate

a) Sodium bicarbonate  

Cimetidine has no effect on hepatic drug metabolism. It’s False.

Correct option: a) 300g/day

Correct option: c) Papaya

The plant will not remain healthy for long and it will die.
Vaseline is thick and it will block the stomata so there will be no intake of carbon dioxide.
It will completely block the stomata even after we remove it so there will be the death of the plant.
The chemical compounds present in Vaseline will protect the plant from receiving heat and so the plant will die.

This plant will not remain healthy for a long time because
(a) it will not get oxygen for respiration.
(b) it will not get carbon dioxide for photosynthesis.
(c) Upward movement of water and minerals would be hampered
due to lack of transpiration.

The main components of the transport system in human beings are the heart, blood, and blood vessels.

• Heart pumps oxygenated blood throughout the body. It receives deoxygenated blood from the various body parts and sends this impure blood to the lungs for oxygenation.
• Blood is a fluid connective tissue, it helps in the transport of oxygen, nutrients, CO₂, and nitrogenous wastes.
• Blood vessels (arteries, veins, and capillaries) carry blood either away from the heart to various organs or from various organs back to the heart.

The transport system (called circulatory system) in human beings mainly consists of heart, blood and blood vessels.

Functions of component of circulatory system:
(i) Heart: The heart is a muscular organ which pumps blood to the different parts of the body. It receives deoxygenated blood from the body parts and pump it to lungs which enriches it with oxygen. It receives purified blood from lungs and pumps it to all the parts of the body.
(ii) Blood: Blood is fluid connective tissue it consists of a fluid  known as plasma in which the cells are suspended, such as white blood cells and red blood cells. Plasma transports food, carbon dioxide and nitrogenous wastes (urea and uric acid) in dissolved form. Red blood cells transport oxygen. Blood also transport many other substances like hormones, salt etc. Platelets present in the blood stop bleed from injuries by forming blood clots.
(iii) Blood vessels: Blood vessels form a closed network of tubes to reach all the tissues. Thus, the blood pushed by the heart flows in the blood vessels (arteries) and also comes back to the heart in the blood vessels (veins).

Our forefathers did not invent machinery because they knew we would become slaves. 

Rhizobium is a symbiotic bacteria present in the root nodules of leguminous plants.
The basic requirements for Rhizobium to carry out nitrogen fixation are as follows:
(a) Presence of the enzyme nitrogenase
(b) Presence of leg-haemoglobin
(c) Non-haem iron protein, ferrodoxin as the electron-carrier
(d) Constant supply of ATP
(e) Mg2+ions as co-factors
Rhizobium contains the enzyme nitrogenase – a Mo-Fe protein – that helps in the conversion of atmospheric free nitrogen into ammonia.
The reaction is as follows:
N2 + 8e– + 8H+ + 16 ATP→ 2 NH3 + H2 + 16ADP + 16Pi
The Rhizobium bacteria live as aerobes under free-living conditions, but require anaerobic conditions during nitrogen fixation. This is because the enzyme nitrogenase is highly sensitive to molecular oxygen. The nodules contain leghaemoglobin, which protects nitrogenase from oxygen.

The correct option is (b) 7

An  Δ ABC AC² = AB² +BC² then ∠ B = 90°

The correct option is (d) (3,2)

The only good thing/ about these pens(b) / are their colour and their size.(c)/ No error

Answer

(c) : ‘Is’ in place of ‘are’. The subject ‘the only good thing ‘ is singular and thus the verb will be singular.

(c) : ‘Is’ in place of ‘are’. The subject ‘the only good thing ‘ is singular and thus the verb will be singular.

Part (c) correct

Replace 'is' by 'are'

Part (c) correct

Remove 'will' 

Although she works hard yet She fail 

Correct Option: a

Replace ‘flock’ by ‘herd’.

c) as they interfere in serious study

Explanation:

Incorrect preposition is used. The preposition after ‘interfere’ here should be ‘with’.

So the correct sentence in option (c) will be - 'as they interfere with serious study'

Correct option: (c) should fail

lest + should + v₁

Answer: Option B  

Explanation:  

all the information you want

Part (a) error.

These kinds of shirts are rather expensive for him to buy. 

• Definition: The formation of periodic waxing and waning of sound due to interference (superposition) of two sound waves of the same amplitude but of slightly different frequencies, is called beats. 
• One waxing and one waning which are consecutive form one beat. 
• The time interval between two successive maxima or minima (waxings or wanings) is called the period of beats. 
• The number of beats heard per second is called the frequency of beats.

Let us consider two waves of slightly different frequencies n1 and n2 (n1 ~ n2 < 10) having equal amplitude travelling in a medium in the same direction.  

At time t = 0, both waves travel in same phase. The equations of the two waves are  

y₁ = a sin ω₁t  

y₁ = a sin (2πn₁)t         …... (1)  

y₂ = a sin ω₂t  

= a sin (2πn₂)t              …... (2)

When the two waves superimpose, the resultant displacement is given by  

y =  y₁ + y₂  

y = a sin (2πn₁)t + a sin (2πn₂)t        …... (3)  

Therefore  

y = 2a sin 2π(n₁+ n₂/2)t cos 2π(n₁– n₂/2)t            …... (4)  

Substitute A = 2a cos 2π(n₁– n₂/2)t   and n = n₁ + n₂/2 in equation (4)  

y = A sin 2πnt  

This represents a simple harmonic wave of frequency n = n1 + n2/2 and amplitude A which changes with time.  

(i) The resultant amplitude is maximum (i.e) ± 2a, if  

cos 2π [n₁-n₂/2] t = ±1  

So, 2π [n₁-n₂/2] t = ±mπ  

(Here, m = 0,1,2....) or (n₁ – n₂)t = m   

The first maximum is obtained at t₁ = 0  

The second maximum is obtained at,  

 t₂ = 1/n₁ – n₂  

The third maximum at t₃ = 2/n₁ – n₂ and so on.  

The time interval between two successive maxima is,  

t₂ – t₁ =  t₃ – t₂ = 1/n₁ – n₂  

Hence the number of beats produced per second is equal to the reciprocal of the time interval between two successive maxima.

/to that Saharanpur

sorry I don't understand that 

Part (a)

Remove "brother"

Explanation:

A cousin is defined as a son or a daughter, of a brother or a sister, of the father or the mother. 

No person can be your cousin and brother at the same time or, for that matter, your cousin and sister either. 

To elaborate, one may talk about a male cousin or a female cousin, when needed.

(A) 2a + 3b + c = 0 ⇒ ax + by + c = 0 passes through (2, 3).

Answer: (A) → (q)

(B) The equation (1 + a)x + (2 - a)y + 5 = 0 is written as (x + 2y + 5) + a(x - y) = 0, Hence, the line passes through the intersection of the lines x  + 2y + 5 = 0 and x - y = 0 and the point of intersection is (-5/3,-5/3)

Answer: (B) → (s)

(C) The equation (a - d)x + ay + (a + d) = 0 is written as a(x + y + 1) + d (1 - x) = 0 so that this line passes through the intersection of the lines 1 - x = 0 and x + y + 1 = 0 which is given by (1, -2).

Answer: (C) → (t)

(D) The equation (m + 2n)x + (m - 3n)y - m + n = 0 is written as m(x + y -1 = 0) . Hence, the line passes through the intersection of the lines x + y - 1 = 0 and  2x - 3y + 1 = 0 which is given by (2/5, 3/5).

Answer: (C) → (p)

(c) Replace ‘laps’ by ‘lap’.

correct option:

(A) 1/e^e

correct option:

(A) [1, ∞] 

Mukherjee was born in Dhakuria, Calcutta, on 4 October 1931 to Narendranath Mukherjee, a railway official, and Hemprova Devi. She was the youngest of six children. Her grandfather was a police officer, and the family had lived in Dhakuria since 1911. Sandhya started her music training under the direction of Pandit Santosh Kumar Basu, Professor A T Kannan, and Professor Chinmoy Lahiri. However, her guru was Ustad Bade Ghulam Ali Khan followed by his son Ustad Munavvar Ali Khan, under whom she mastered Indian classical music. According to Manorma Sharma, "Sandhya has been able to maintain her popularity as a classical vocalist even after acquiring the gloss and the glow of playback singing. 

Though classically trained, the bulk of her work consists of Bengali modern songs. She began her career in Mumbai singing Hindi songs, starting with a song in the film Taarana in 1950. She sang, as a playback singer, in 17 Hindi films. She decided to come back to and settle in her home city Kolkata in 1952 due to personal reasons. She married Bengali poet Shymal Gupta in 1966. Gupta went on to write the lyrics for many of her songs. She received Banga Bhushan the highest civilian honor in the Indian state of West Bengal in 2011. She also won the National film award for best playback singer for her songs in the films Jay Jayanti and Nishi Padma in the year 1970. 

Her best-known collaboration is arguable with the Bengali singer Hemanta Mukherjee with whom she sang numerous duets, primarily as playback for Bengali films. Hemanta and Sandhya became known as the voices behind the pairings of the Bengali superstar Uttam Kumar and his numerous heroines, most notably being the actress Suchitra Sen, whose singing voice she became. Besides Hemanta's Mukherjee compositions, her largest body of work is with Robin Chattopadhyay and Nachiketa Ghosh.

During the Bangladesh Liberation War, she joined the mass movement among Indian Bengali artists to raise money for the millions of refugees who had poured into  Kolkata and West Bengal to escape the fighting, and to raise global awareness for the cause of Bangladesh. She assisted Bangladeshi musician Samar as he set up the Swadhin Bangla Betar Kendra, the clandestine radio station broadcasting to Bangladesh, and recorded several patriotic songs for him. On the occasion of the release of Sheikh Mujib Rahman the imprisoned leader of the new country of Bangladesh, she released a song Bangabandhu Tumi Phirey Ele. She later became one of the first foreign artists to visit Dhaka, performing at an open-air concert in Paltan Maidan in Dhaka to celebrate the first Ekushey February after Bangladeshi independence in 1971.

On 26 January 2022, on Republic day and a few days before testing positive for Covid 19, Mukherjee was awarded the Padma Shri for her performance in music. However, she refused the award, labeling it "disparaging and degrading". Mukherjee died of cardiac arrest at a private hospital in Kolkata on 15 February 2022, at the age of 90.

y = e^2x sin x

\(\frac{dy}{dx}\) = e^2x d/dx sin x + (d/dx e^2x) sin x (By UV formula)

= e^2x cos x + 2 e^2x sin x (By chain rule)

= e^2x(cos x+2 sin x)

Let \(\hat{F} = r^n \,\hat{r}\)

\(= r^n (x\hat{i} + y\hat{j} + z\hat{k})\)

\(=x r^n \hat{i} + y r^n\hat{j} + z r^n\hat{k}\)

\(\vec{\Delta} \times \vec{F}\) \(= \begin{vmatrix} \hat{i} & \hat{j} & \hat{k}\\ \frac{\delta}{\delta x} & \frac{\delta}{\delta y} & \frac{\delta}{\delta z}\\ xr^n & yr^n & zr^n \end{vmatrix}\)

\(= \hat{i}(nz\,r^{n-1} \frac{\delta r}{\delta y} - ny\,r^{n-1}\frac{\delta r}{\delta z})\) \(+ \hat{j}(nx\,r^{n-1} \frac{\delta r}{\delta z} - nz\,r^{n-1}\frac{\delta r}{\delta x})\) \(+ \hat{k}(ny\,r^{n-1} \frac{\delta r}{\delta x} - nx\,r^{n-1}\frac{\delta r}{\delta y})\)

\(= \hat{i}(nyz\,r^{n - 2} - nyz\,r^{n - 2})\) \( + \hat{j}(nxz\,r^{n - 2} - nxz\,r^{n - 2})\) \( + \hat{k}(nxy\,r^{n - 2} - nxy\,r^{n - 2})\)

\((\because r^2 = x^2 + y^2 + z^2\) \(\Rightarrow \frac{\delta r}{\delta x} = \frac{x}{r},\) \(\frac{\delta r}{\delta y} = \frac{y}{r}\) \(\&\) \(\frac{\delta r}{\delta z} = \frac{z}{r})\)

\(= 0\hat{i} + 0\hat{j} + 0\hat{k}\)

\(= \hat{0}\)

\(\therefore \) For all values of n, vector F is irrational.

Now \(\hat{\Delta}.\hat{F}\) \(= \left(\frac{\delta}{\delta x}\hat{i} + \frac{\delta}{\delta y}\hat{j} + \frac{\delta}{\delta z}\hat{k}\right)\) \(.\left(xr^n\hat{i} + yr^n\hat{j} + zr^n\hat{k}\right)\)

\(= \frac{\delta}{\delta x}xr^n + \frac{\delta}{\delta y}yr^n + \frac{\delta}{\delta z}zr^n\)

\(= (nx\,r^{n-1} \frac{\delta r}{\delta x} + r^n)\) \(+ (ny\,r^{n-1}\frac{\delta r}{\delta y} + r^n)\) \(+ (nz\,r^{n-1}\frac{\delta r}{\delta z} + r^n)\)

\(= 3r^n + (nx^2 r^{n - 2} + ny^2 r^{n - 2}\) \(+ nz^2 r^{n - 2})\)

\((\because \frac{\delta r}{\delta x} = \frac{x}{r}, \frac{\delta r}{\delta y} = \frac{y}{r}\) \(\&\) \(\frac{\delta r}{\delta z} = \frac{z}{r})\)

\(= 3r^n +nr^{n - 2}(x^2 + y^2 + z^2)\)

\(= 3r^n +nr^{n}\) \((\because x^2 + y^2 + z^2 = r^2)\)

\(= (3 + n)r^n\)

\(\therefore \vec{\Delta}.\vec{F} = 0\) when n = -3.

\(\therefore \vec{F} = r^n\vec{r}\) is solenoidal only if n = -3.

Option : (d)

\(AB=\begin{bmatrix}1&-1&0\\2&3&4\\0&1&2\end{bmatrix}\begin{bmatrix}2&2&-4\\-4&2&-4\\2&-1&5\end{bmatrix}=\begin{bmatrix}6&0&0\\0&6&0\\0&0&6\end{bmatrix},\)

\(\Rightarrow AB=6I\Rightarrow B^{-1}=\frac{1}{6}A\)