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93251.

Express the reasons for the regional pattern of low child sex ratio in India.

Answer»
  • The regional pattern of low child sex ratios in India, is that the lowest child sex ratios are found in the most prosperous regions of India. 
  • Punjab, Haryana, Chandigarh, Delhi, Gujarat and Maharashtra are among the richest states in India in terms of per capita income, and they are the states with the lowest child sex ratio. 
  • So, the problem of selective abortion is not due to poverty or ignorance or lack of resources. 
  • For example, if practices like dowry mean that parents have to make large dowry payments to marry off their daughters, then prosperous parents would be the ones most able to afford this. 
  • Economically prosperous families decide to have fewer children and they may wish to choose the sex of their child.
  • This becomes possible by misusing pre-natal diagnostic technique.
93252.

Which of the statements cannot be attributed to Franz? a) Franz did not like studying; he would rather enjoy nature. b) Franz loved his teacher a lot. c) Franz regretted that he did not study French at all. d) Franz was a naughty student.

Answer»

b) Franz loved his teacher a lot. 

93253.

Low child sex ratio cannot be attributed to which of the following factors(a) Illiteracy (b) Socio-cultural beliefs (c) Economic condition (d) Preference for girl child

Answer»

(d) Preference for girl child

93254.

Mention any two objectives of Stree Shakti.

Answer»

1. To strengthen the process of economic development of rural women and create a conducive environment for social change.

2. To form self help groups based on thrift and credit principles which builds self reliance and enable women to have greater access and control over resources.

93255.

Scholars have shown that the inequalities between men and women are ..... rather than ....... (a) Natural, Social (b) Social, Natural (c) Desirable, undesirable (d) Economic, racial

Answer»

(b) Social, Natural

93256.

Stree Purush Tulana, was written as a protest against the double standards of a male dominated society. The author of this book wasa) Tarabai Shinde b) Savitri Phule c) Annie Beasant d) Anita Ghai

Answer»

(a) Tarabai Shinde

93257.

........... states often limit or abolish civil liberties. (a) Authoritarian (b) Democratic (c) Civil Society (d) Libertarian

Answer»

(a) Authoritarian

93258.

"The British element is gone, but they have left the mischief behind". Sardar Vallabh Bhai Patel said It is no use saying that we ask for separate clectorates, because it is good for us. We have heard it long enough. We have heard it for years, and as a reSalt of this agitation we are now a separare nation you show me one tree country where there are separate electorates? If so, I shall be prepared to accept it. But in this unfortunate country if this separate electorcate is going to be persisted in, even after the division of the country, woe betide the country, it is not worth living in. Therefore, I say, it is not for my good alone, it is for your own good that I say it, forget the past. One day, we may be united The British element is gone, but they have left the mischief behind. We do not want to perpetuate tht mischief. (Hear, hear). When the British this element they had not expected that they will have to go so soon. They wanted it for their easy administration. That is all right. But they have left the legacy behind. Are we to get out of it or not? Mention the reasons behind Sardar Patel urging the assembly members to get rid of separate electorate.

Answer» (i) Patel opined that there was not one free country where there was separate electorate.
(ii) For the good of the country we must burry the idea of separate clectorate once for all.
93259.

"The British element is gone, but they have left the mischief behind". Sardar Vallabh Bhai Patel said It is no use saying that we ask for separate clectorates, because it is good for us. We have heard it long enough. We have heard it for years, and as a reSalt of this agitation we are now a separare nation you show me one tree country where there are separate electorates? If so, I shall be prepared to accept it. But in this unfortunate country if this separate electorcate is going to be persisted in, even after the division of the country, woe betide the country, it is not worth living in. Therefore, I say, it is not for my good alone, it is for your own good that I say it, forget the past. One day, we may be united The British element is gone, but they have left the mischief behind. We do not want to perpetuate tht mischief. (Hear, hear). When the British this element they had not expected that they will have to go so soon. They wanted it for their easy administration. That is all right. But they have left the legacy behind. Are we to get out of it or not? In what ways did Sardar Patel explain that "The British element is gone, but they have left the mischief behind" ?

Answer» (i) The idea of separate state was a political.
(ii) The British wanted to have a fractured country for their easy administration
(iii) Their nefarious designs forced Patel to say that, The British element is gone but they have left the mischief behind."
93260.

For the matrix equation \(\begin{pmatrix} 1 & 2 \\ 3 & -1 \end{pmatrix}\) \(\begin{pmatrix} x \\ y \end{pmatrix}\) = \(\begin{pmatrix} 7 \\ 3 \end{pmatrix}\) the augmented matrix is _______(a) \( \begin{pmatrix} 1 & 2 & 7 \\ 3 & -1 & 3 \\ \end{pmatrix} \)(b)  \(\begin{pmatrix} 1 & 7 \\ 3 & 3 \end{pmatrix}\)(c) \(\begin{pmatrix} 7 & 1 \\ 3 & 3 \end{pmatrix}\)(d) \( \begin{pmatrix} 1 & 7 & 2 \\ 3 & 3 & -1 \\ \end{pmatrix} \)

Answer»

(a) \(\begin{pmatrix}1 & 2 & 7 \\3 & -1 & 3 \\\end{pmatrix}\)

93261.

Read the given extract to attempt questions that follow:“I have nothing else to do,” he mutters, looking away. “Go to school,” I say glibly, realising immediately how hollow the advice must sound“There is no school in my neighbourhood. When they build one, I will go.” “If I start a school, will you come?” I ask, half-joking. “Yes,” he says, smiling broadly.A few days later I see him running up to me. “Is your school ready?”“It takes longer to build a school,” I say, embarrassed at having made a promise that was not meant. But promises like mine abound in every corner of his bleak world.1. Saheb’s muttering and ‘looking away’ suggests his A. angerB. shynessC. embarrassmentD. anxiety2. Of the four meanings of ‘glibly’, select the option that matches in meaning with its usage in theextract.A. showing a degree of informalityB. lacking depth and substanceC. being insincere and deceitfulD. speaking with fluency3. Who do you think Saheb is referring to as ‘they’, in the given sentence? “When they build one, I will go”A. The officials B. The inhabitants C. The teachers D. The journalists4. Select the option that lists the feelings and attitudes corresponding to the following:(1) I ask half-joking(2) ...he says, smiling broadly5. Select the option that lists reasons why Saheb’s world has been called ‘bleak’. (1) The absence of parental presence (2) The poor socio-economic conditions (3) His inability to address problems (4) His lack of life-skills (5) The denied opportunities of schoolingA. (1) and (4) B. (2) and (5) C. (3) and (5) D. (2) and (4)

Answer»

1. Correct answer is: C. embarrassment

2. Correct answer is: B. lacking depth and substance

3. Correct answer is: A. The officials

4. Correct answer is: D.

D.(1) part humour, part earnestness
(2) self-belief

5. Correct answer is: B. (2) and (5)

93262.

Violence in the local prison has ________ two lives. A) removed B) taken C) cost D) murdered E) spilt

Answer»

Correct option is C) cost

93263.

Since any answer was likely to cause embarrassment to his party the politician tried to ________ the question. A) delude B) seclude C) pervade D) evade E) elude

Answer»

Correct option is D) evade

93264.

The main road through Littlebury was blocked for three hours today after an accident ________ two lorries. A) containing B) connecting C) involving D) including E) combining

Answer»

Correct option is C) involving

93265.

Find the general solution. D3(D − 2)(D − 3)2y = 0.

Answer»

The characteristic polynomial is λ3(λ − 2)(λ − 3)2. Thus, λ = 0 is a root of multiplicity 3, so it contributes the basic solutions e0x, xe0x, x2e0x, i.e., 1, x, x2

We have λ = 2 as a root of multiplicity 1, so it contributes the basic solution e2x.

Finally, we have λ = 3 as a root of multiplicity 2, so it contributes the basic solutions e3x, xe3x

The general solution of the equation is a linear combination, with arbitrary coefficients, of the basic solutions, so the general solution is 

y = C1 + C2x + C3x2 + C4e2x + C5e3x + C6xe3x.

93266.

Find the general solution.(D − 1)(D − 2)(D2 − 4D + 13)2y = 0.

Answer»

We have λ = 1 and λ = 2 as roots of multiplicity 1, so they contribute basic solutions ex and e2x. The roots of the quadratic λ2− 4λ + 13 are λ = 2 ± 3i and these conjugate roots both have multiplicity 2. Thus, this pair of conjugate roots contributes the basic solutions e2xcos(3x), e2x sin(3x), xe2x cos(3x) and xe2x sin(3x). Thus, the general solution is 

(1.1) y = C1ex + C2e2x + C3e2xcos(3x) + C4e2xsin(3x) + C5xe2x cos3x + C6xe2xsin(3x).

93267.

Find the general solution by the method of undetermined coefficients.(D2 − 2D + 1)y = x2 + 3x + 1.

Answer»

Since the right-hand side is a polynomial of degree 2, the trial solution should be a polynomial of degree 2, say y = Ax2 + Bx + C.

Now plug this into the left-hand side and solve for the coefficients. The answer is 

y = x2 + 7x + 13 + C1ex + C2xex.

93268.

Find the general solution by the method of undetermined coefficients.(D3 + 2D2)y = x.

Answer»

Factor out as many D’s as possible and write the equation as

(D + 2)[D2y] = x.

Let z = D2y so the equation is

(D + 2)z = x. 

Since the right-hand side is a polynomial of degree 1, the trial solution should be a polynomial of degree 1, say z = Ax + B. Plugging into the equation gives 

A + 2Ax + 2B = x.

By equating coefficients of powers of x, we get the equations

2A = 1, A + 2B = 0. 

The solution is A = 1/2, B = −1/4. Thus, we have 

z = 1/2 x − 1/4.

Since z = D2y, we have D2y = 1/2x − 1/4.

Integrating once gives

Dy = 1/4x 2 − 1/4x 

and integrating again gives 

y = 1/12x3 − 1/8x2.

The solution of the homogeneous equation is yh = C1 + C2x + C3e2x,

so the general solution of the inhomogeneous equation is

y = 1/12x3 − 1/8x2 + C1 + C2x + C3e2x,

93269.

A petrol tank is in the shape of a cylinder with hemisphere of the same radius as the base of the cylinder attached to both ends. If the total length of the tank is 5 meters and the base radius of the cylinder is 1 metre, how many litres of petrol can it hold?

Answer»

Volume of cylinder = πr2h = 3πcm3

Volume of hemisphere = 2/3 πr3

\(=\frac{2}{3}\pi=\frac{2}{3}\pi\) cm3

Volume of petrol tank = \(3\pi+2\times\frac{2\pi}{3}\)

\(=3\pi+\frac{4\pi}{3}=\frac{13\pi}{3}=4.33\pi\) m3

\(=4.33\pi \times1000l=13596.2l\)

93270.

A hemisphere and a cone with same radii are attached to get a solid as given in the figure. Radius of the hemisphere is 9 cm. The height of the two solids together is 21 cm.a. Find the height of the cone.b. Find the volume of the conec. Find the volume of the solids

Answer»

a. Height of the cone 21 – 9 = 12 cm

Volume of the sphere

\(=\frac{2}{3}\pi \times9^3=486\pi \) cm3

b. Volume of the cone

\(=\frac{1}{3}\pi\times9^2\times12=324\pi\) cm3

c. Total volume = \(486\pi+324\pi=810\pi\) cm3

93271.

A survey was conducted in Aadarsh Vidyalaya to know the inclication of students towards different subjects. The data obtained is presented by the adjacent pie diagram. If the total number of students was 500, answer the following questions.(i) How many students show inclination towards mathematics ? (ii) How many students are inclined towards social sciences ? (iii) How many more students are inclined towards languages than science ?

Answer»

The total number of students, N = 500.

For mathematics, θ = 126 

No. of students showing 

inclination toward Maths = θ / 360 × N = 126 / 360 × 500 = 175 Similarly,

No. of students showing 

inclination towards Social science = 54 / 360 × 500 = 75

No. of students showing 

inclination towards Science = 72 / 360 × 500 = 100

No. of students showing

inclination towards languages = 108 /360 × 500 = 150

Now, 150 - 100 = 50

∴ 50 more students show inclination towards languages than towards science

93272.

Name the gas evolved when: dil. sulphuric acid reacts with sodium sulphite.

Answer»

Sodium sulphite reacts with sulphuric acid to produce sodium bisulfate, sulfur dioxide and water.

Na2SO3+2H2SO4\(\rightarrow\)2NaHSO4+SO2+H2O

93273.

Describe the properties of ethanol in terms of combustion and oxidation

Answer»

Ethanol upon combustion gives carbon dioxide and water. 

C2H5OH + 3O2→ 2CO2 + 3H2

Ethanol is oxidized to ethanoic acid when treated with oxidizing agents like acidified potassium dichromate

C2H5OH \(\underset{Acidified\,k_2Cr_2O_7\,+\,Heat}{\stackrel{Alkaline\,KMnO_4\,+\,Heat}{\longrightarrow}}\) CH3COOH

93274.

Which of the following represents correct order of dcreasing C–H bond lengths in the following molecules .(a) CH4 > C2H4 > C2H6 > C2H2 (b) C2H6 > CH4 > C2H4 > C2H2 (c) CH4 > C2H6 > C2H4 > C2H2(d) C2H2 > C2H4 > C2H6 > CH4

Answer»

(c) CH4 > C2H6 > C2H4 > C2H2

93275.

Write down the observation in the table given below, when lmL Barium chloride solution is added to the solutions given in the table. No. Solution By adding BaCl2solution When dilute HCl is added to this 1. MgSO4 ...... ..... 2.  ZnSO4 ....... ..... 

Answer»
 No. Solution By adding BaCl2solution When dilute HCl is added to this
 1. MgSO4 Barium sulfate (BaSO4) formed. A white precipitate. Insoluble in dil HCl. Precipitate not disappear.
 2.  ZnSO4 Barium sulfate (BaSO4) formed. A white precipitate. Insoluble in dil HCl. Precipitate not disappear.
93276.

Select the correct events that occur during inspiration. (a) Contraction of diaphragm (b) Contraction of external inter-costal muscles (c) Pulmonary volume decreases (d) Intra pulmonary pressure increases (1) only (d) (2) (a) and (b) (3) (c) and (d) (4) (a), (b) and (d)

Answer»

(2) (a) and (b)

93277.

In which of the following techniques, the embryos are transferred to assist those females who cannot conceive? (1) GIFT and ICSI (2) ZIFT and IUT (3) GIFT and ZIFT(4) ICSI and ZIFT

Answer»

(2) ZIFT and IUT

93278.

In the Roman numerals, C stands _____ one hundred. A) for B) up C) at D) on

Answer»

Correct option is A) for

93279.

The ice-cream tasted _____ soap. A) in B) of C) with D) from

Answer»

Correct option is B) of

93280.

He really succeeds _____ anything he really puts his mind to. A) at B) in C) on D) about

Answer»

Correct option is B) in

93281.

Read the following passage and answer the questions that follow:One day Pasha Sab was walking along the road. He stopped near a tall tree and saw a monkey on it. It was eating nuts. The tree was full of nuts. The monkey was very high up on the tree. He picked up a stone and threw it at the monkey. The monkey chattered at him and said rude words in its language. Pasha threw another stone. The monkey grew angry. Pasha threw stones continuously at the monkey. The monkey picked up a nut and started throwing at Pasha. This went on for half an hour. He got a bag of nuts. Pasha said, “Thank you very much, my dear Monkey”, so saying he sat down and ate all the nuts. 1. Why couldn’t Pasha get the nuts on his own? 2. How did the monkey express its anger?3. What kind of a man was Pasha Sab?4. How did Pasha express his gratitude to the monkey?

Answer»

1. Because the tree was tall and there was a monkey sitting high up on it eating nuts.

2. The monkey expressed its anger at first by chattering rude words and then by throwing nuts at Pasha.

3. Pasha Sab was an intelligent man.

4. Pasha expressed his gratitude by thanking the monkey for the nuts.

93282.

Read the following passage and answer the questions that follow:Once there was a slave. His name was Andrades. His master was very cruel. He treated him badly. So, the slave was sick of him and ran away into a forest. There he saw a lion crying with pain. The lion sat before him and held out its paw. There was a big thorn in it. The slave drew it out and dressed the wound. They became friends. After a few days, the slave was caught. He was ordered to be thrown before a hungry lion. Many people came to see the act of cruelty. A lion was caught for this purpose. It was kept hungry for many days. On the fixed day, the lion was let loose on the slave. It recognised him. It began to lick his feet. All the people were surprised. The slave told the whole story. The master was pleased and Andrades was set free.1. What made Andracles go to the forest?2. How did Andracles help the lion?3. What act of cruelty did the people go to watch? 4. Why didn’t the lion kill Androcles?

Answer»

1. Andracles was sick of his master who treated him badly. So he ran away into the forest.

2. Andracles drew out the big thorn that was struck in the lion’s paw and dressed the wound.

3. People went to watch the cruel act of a slave being thrown before a hungry lion.

4. The lion recognised Andracles as the one who had healed its paw in the forest. So it did not kill him.

93283.

Consider the following statements about Bankim Chandra Chatterji:(a) He published a magazine Bang Darshan in order to uplift Bengali culture.(b) Besides Anand Math, he also authored novels, Durgesh Nandini and Kapal Kundala.Which of the above statement/s is/are true?1. Only (a) is true.2. Only (b) is true.3. Neither (a) nor (b) is true.4. Both (a) and (b) are true.

Answer» Correct Answer - Option 4 : Both (a) and (b) are true.

The correct answer is Both (a) and (b) are true.

  • Bankim Chandra Chatterji:
    • He published a magazine Bang Darshan in order to uplift Bengali culture.
    • Besides Anand Math, he also authored novels, Durgesh Nandini and Kapal Kundala.
    • Hence both the statement (a) and (b) are correct.

 

  • Bangadarshan was a Bengali literary magazine, founded by Bankim Chandra Chattopadhyay in 1872, and resuscitated in 1901 under the editorship of Rabindranath Tagore.
    • The magazine had a defining influence on the emergence of Bengali identity and the genesis of nationalism in Bengal.
  • Durgeshnandini is a Bengali historical romance novel written by Indian writer Bankim Chandra Chattopadhyay in 1865
  • Kapalkundala is a Bengali romance novel by Indian writer Bankim Chandra Chattopadhyay. Published in 1866, it is a story of a forest-dwelling girl named Kapalkundala, who fell in love with and married Nabakumar, a young gentleman from Saptagram, but eventually found that she is unable to adjust herself with the city life.
93284.

Read the following passage and answer the questions that follow: Bankim Chandra would never sacrifice justice and self-respect. The arrogance of white men never frightened him. When he was a deputy magistrate, he had a superior officer called Munroe, who was the Commissioner of Kolkata. On his morning walk, one day, Bankim Chandra met Munroe near Eden Garden. A British Officer in those days expected every Indian official to show him respect by bowing modestly before him. But Bankim Chandra just walked past him saying ‘Good morning’ politely. Munroe was enraged. That evening Bankim Chandra received an order transferring him to a far off place.1. What did Bankim Chandra love most? 2. How did the British officers behave with their Indian subordinates? 3. What was the result of the polite ‘Good morning’ to Munroe? 4. What do you think of the incident?

Answer»

1. Justice and self-respect. 

2. They behaved arrogantly. 

3. Bankim Chandra was transferred to a far off place. 

4. Bankim Chandra was right in not sacrificing his self-respect. Respect should be commended, not demanded.

93285.

Read the following passage and answer the questions that follow:Bansilal’s train was late and it reached Mumbai a little after midnight. It was his first visit to the city, and he did not know where to go. He thought he would go to a choultry where he would not have to pay rent, but he did not know how to find one at that hour. He asked a porter to get a cheap room. The porter said that if Bansilal gave him three rupees, he would take him to one. But Bansilal waved him away and walked out of the station. He wandered through the streets and asked a number of people, but could not find a room cheap enough for him. He sat down on a bench. He woke up the next morning stiff in every limb, but he smiled when he realised that it was the cheapest night’s lodging that he had ever had.1. Why did Bansilal think of going to a choultry?2. What did the porter tell Bansilal?3. Why did Bansilal wander through the streets in Mumbai?4. Where did Bansilal find the cheapest lodge?

Answer»

1. Bansilal thought of going to a choultry because he would not have to pay rent.

2. The porter told Bansilal that he would take him to a lodge if he paid him three rupees. 

3. Bansilal wandered through the streets in Mumbai to find a cheap lodge.

4. Bansilal found the cheapest lodge on a bench in the open air.

93286.

What is your opinion of the ant’s principles?

Answer»

The ant’s principle is not bad. It teaches a lesson to everybody to plan for the rainy day.

93287.

In an attempt to block my shot, my opponent challenged me in midair. But instead of heading the ball, her body slammed into mine leaving me unconscious in the middle of the field.My teammates shouted cries of victory and horror at the same time. When I regained consciousness, I found myself in a hospital bed, surrounded by family, friends and teammates.Also at my side, were doctors, the determiners of my future. In a matter of moments, they would tell me the severity of my injuries. I was told that I would have to undergo an extremely rarer surgery. This type of surgery had only been performed a limited number of times, with a mere 50 percent success rate.  After some thinking, I decided to undergo the surgery, knowing that /either way, many challenges would await me.Would I be able to finish my studies? What effect would it have on my social life, my grades? These questions circled my head, and unfortunately, only time would provide answers.(1) How was the writer hurt? ?(2) Why did the teammates of the writer shout two types of cries at the same time?(3) What did the writer find when she / regained consciousness?(4) How was it a rare surgery?(5) What thoughts crowded the writer’s mind before deciding to undergo that rare surgery?

Answer»

(1) In an attempt to block the shot, the writer’s opponent challenged her in the midair. But instead of heading the ball, her body slammed into the writer’s and the writer became unconscious in the middle of the field.

(2) The teammates of the writer shout two types of cries at the same time. One cry of joy was of victory as the writer had hit the goal, and the other cry was of horror that the writer was severely hurt.

(3) When the writer regained consciousness, she found herself in a hospital bed, surrounded by her family, friends, teammates, doctors and the determiners of her future.

(4) It was a rare surgery because this type of surgery had been performed a limited number of times, with a mere 50 percent success rate.

(5) Before deciding to undergo that rare surgery, the writer was greatly worried whether she would be able to finish her studies, what effect it would have on her social life, her grades, etc.

93288.

What is the old woman's position in the neighbourhood?

Answer»

The old woman is highly respected in the neighbourhood She is regarded as a rural prophet among her people. Nobody questions her wisdom and predictions. Though she was blind, she was wise. 

93289.

What do you know about the old woman's reputation for wisdom? 

Answer»

The old woman's reputation is without comparison and everyone agrees to this. 

93290.

Lora only thinks about herself. She is ______. A) naughty B) selfish C) patient D) genius

Answer»

Correct option is B) selfish

93291.

What did the women ask the prophet?

Answer»

Women asked the Prophet (peace be upon him), "What are the rights that a wife has over her husband?" The Prophet replied, " Feed her when you take your food, give her clothes to wear when you wear clothes, refrain from giving her a slap on the face or abusing her, and do not separate from your wife, except within the house." Once a woman came to the Prophet with a complaint against her husband. He told her: "There is no woman who removes something to replace it in its proper place, with a view to tidying her husband's house, but that Allah sets it down as a virtue for her. Nor is there a man who walks with his wife hand-in-hand, but that Allah sets it down as a virtue for him; and if he puts his arm round her shoulder in love, his virtue is increased tenfold." Once he was heard praising the women of the tribe of Quraish, "...because they are the kindest to their children while they are infants and because they keep a careful watch over the belongings of their husbands."

93292.

Lora is ______ in Spanish. A) good B) bad C) fluent D) middle

Answer»

Correct option is C) fluent

93293.

______ a fluent speaker of English? A) Is herB) He C) Does she D) Is she

Answer»

Correct option is D) Is she

93294.

Find the appropriate questions for the following answersCharlie worked for a year in his father's business. He worked very hard. He had no time for entertainments. His father decided to sent him to Paris for a short holiday. A) Why did Charlie decide to go to Paris? B) Why did his father decide to send him to Paris? C) For whom did he buy tickets? D) How long did Charlie work in his father's E) Did he like his father's business?

Answer»

B) Why did his father decide to send him to Paris?

93295.

If E and F are events such that P(E/F) = P(F/E) then which is the following is true ? (A) P(E) = P(F) (B) E = F (C) E ⊂ F but E ≠ F (D) E ∩ F = ϕ

Answer»

(A) P(E) = P(F) 

93296.

Let A be a square matrix of order 3 × 3 then |KA| equal to which of the following ?(A) 3K|A| (B) K3|A| (C) K|A| (D) K2|A|

Answer»

|KA| equal to K3|A| 

93297.

The radius of a circle is increasing at the rate of 0.7 cm/s then which of the following is the rate of increase of its circumference ?(A) 2πcm/s (B) 0.7 cm/s (C) 1.4 cm/s (D) None of these

Answer»

The rate of increase of its circumference 1.4 cm/s 

93298.

The value of ∫ log(4 - 3 sin x/4 + 3 cos x) dx is , x ∈[0, π/2](A) 3/4(B) 0(C) 2(D) 1/4

Answer»

option: (B) 0

93299.

A beautiful lady was going with her husband on a yacht. She was going at a speed of 50 km/hr along with the current. After returning to a yacht she observed, speed of the yacht was reduced by 6 km/hr on returning. how much time a yacht will take to return on starting point if distance travelled by a yacht during upstream was 300 km and during downstream was 500 km?1. \(16\frac{9}{{11}}\;hr\)2. 16 hr3. 15.2 hr4. 16.66 hr5. 18 hr

Answer» Correct Answer - Option 1 : \(16\frac{9}{{11}}\;hr\)

Given:

Speed of a yacht along with the current = 50 km/hr

Reduced speed = 6 km/hr

Distance traveled during upstream = 300 km

Distance traveled during downstream = 500 km

Formula used:

\({\rm{Time\;taken\;to\;return\;on\;starting\;point}} = {\rm{\;}}\frac{{{\rm{distance\;traveled\;during\;upstream\;}}}}{{{\rm{speed\;of\;upstream}}}}\; + \;\frac{{{\rm{distance\;traveled\;in\;downstream}}}}{{{\rm{speed\;of\;downstream}}}}\)

Calculation:

Speed of a yacht, upstream = speed of a yacht along with the current – reduction in speed

⇒ 50 – 6

⇒ 44 km/hr

Time taken to return on starting point = (300/44) + (500/50)

⇒ (75/11) + 10

⇒ 185/11

⇒ \(16\frac{9}{{11}}\;hr\)

Hence, the time taken to return to the starting point is \(16\frac{9}{{11}}\;hr\).

93300.

Speed of ram while travelling from point A to point B is 50 km/hr and while returning he decreased his speed by 40%. Find his average speed of whole journey.1. 33.33 km/hr2. 35.75 km/hr3. 42.55 km/hr4. 37.5 km/hr

Answer» Correct Answer - Option 4 : 37.5 km/hr

Given:

Speed of Ram while travelling from point A to point B = 50 km/hr

Speed decreased by 40% while returning

Formula used:

Average speed when the distance is same = 2xy/(x + y)

Where, x = Speed while going

y = Speed while returning 

Calculation:

Speed while returning = 50 × [(100 – 40)/100] km/hr

⇒ 50 × (60/100) km/hr

⇒ 30 km/hr

Now, average speed = (2 × 50 × 30)/(50 + 30) km/hr

⇒ (100 × 30)/80 km/hr

⇒ 37.5 km/hr

∴ The average speed of the whole journey is 37.5 km/hr