This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 27551. |
1. In any triangle ABC, prove that a sin (B – C) + b sin (C – A) + c sin (A – B) = 0.2. Find the radius of the circle in which a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7).3. A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?4. Find the value of √3 cosec 20° – sec 20°.5. Show that tan 3x tan 2x tan x = tan 3x – tan 2x – tan x. |
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Answer» Q1. Let sinA/a = sinB/b = sinC/c = k (By sine rule) sinA = ak, sinB = bk, sinC = ck sin(A - B) = sinAcosB - cosAsinB = akcosB - bkcosA = k(acosB - BcosA) sin (B - C) = sinBcosC - cosBsinC = bkcosC - ckcosB = k(bcosC - c.cosB) sin (C - A) = sinCcosA - cosCsinA = ckcosA - akcosC = k(c.cosA - acosC) Now, a sin (B – C) + b sin (C – A) + c sin (A – B) = ak(bcosC - c.cosB) + bk(c.cosA - acosC) + ck(c.cosA - acosC) = k(bc cosA - bc cosA) + k(ab cosC - ab cosC) + k(ac cosB - ac cosB) = 0 = RHS Hence, proved Q2. Let r be the radius. Area of sector = lr/2 (l is length and r is the radius) lr/2 = θπr2/360 37.4r / 2 = 22× r2 / 42 1.7/2 = r/42 r = 1.7 × 21 r = 35.7 cm Q3. The wheel makes 360 revolutions in 60 seconds So, the wheel will make 6 revolution in 1 second. Angle made in 1 revolution by wheel = 2π Angle made in 6 revolutions = 12π Therefore, the wheel turns 12π radians in one second. Q4. √3/sin20 - 1/cos20 = (√3cos20 - sin20) / (sin20. cos20) = 2(√3/2cos20 - 1/2. sin20) / (sin20. cos20) = 2(sin60cos20 - cos60.sin20) / (sin20. cos20) = 2(sin40) / (sin20. cos20) = 2{2 × (sin20. cos20)} / (sin20. cos20) = 2 × 2 = 4 Q5. tan3x = tan(2x + x) or tan3x = (tan2x + x) / (1 - tan2x. tanx) or tan3x - tan3x.tan2x.tanx = (tan2x + x) or tan3x - tan2x - tanx = tan3x.tan2x.tanx or tan3x.tan2x.tanx = tan3x - tan2x - tanx LHS = RHS. Hence, proved.
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| 27552. |
25-24+27-56-56+0 = ? |
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Answer» 25 - 24 + 27 - 56 - 56 + 0 = 25 + 3 - 56 - 56 = 28 - 112 = -84 -86 is your answer
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| 27553. |
Spot the errors in the following sentences and rewrite them correctly:1) I can't able to understand this problem.2) Everybody appreciate Ram for his honesty.3) The Police is looking for the thief who stole the jewels.4) Where is my scissors?5) Kavin or Kamal are responsible for the success of this play. |
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Answer» 1) I am'nt able to understand this problem. 2) Everybody appreciates ram for his honesty. 3) The police is looking for the theif who Stolen the jewels . 4) Where are my scissors? 5) Kavin and Kamal are responsible for the success of this play. 1) I amn't/am not able to understand this problem. |
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| 27554. |
In which context did Charley say, “eggs were thirteen cents a dozen in 1894”? |
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Answer» Charley had got his three hundred dollars out of the bank and got them changed into oldstyle currency so that he could go back to the third level and buy the tickets to Galesburg. For his three hundred dollars he had got only two hundred dollars old-style currency but he didn’t mind that. The only consolation was that in the year 1894, the two hundred dollars would have more value, as things were much cheaper then than they were now. |
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| 27555. |
What made Louisa, Charley’s wife, believe that the third level was a reality? |
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Answer» Louisa, like Charley’s friends, believed whatever explanations the psychiatrist friend had given. But later, when she received a mail from Sam himself from the old Galesburg, Louisa believed that Charley was true to his claims and even began to search for the third level. |
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| 27556. |
What strange sides did charlie come across? |
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Answer» ' At the Third Level, one can see flickering gas lights, spittoons, beards, side bums and fancy mustaches of 1894. There Charley glimpses a very small Currier and Ives Locomotive with a funnel-shaped stack. There the tickets are available in old currency. |
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| 27557. |
Many men, many _____. A) servants B) hands C) minds D) ways E) thoughts |
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Answer» Correct option is C) minds |
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| 27558. |
Insert articles wherever necessary:When Einstein found out that same society had once offered similar honour to Mussolini, he flatly rejected it. |
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Answer» When Einstein found out that the same society had once offered a similar honour to Mussolini, he flatly rejected it. |
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| 27559. |
In the following paragraph, insert ‘a, an’ ,or ‘the’ wherever necessary and rewrite the sentences.In our family, we have planned to take children to zoo next Sunday. Van has been arranged and we are sure to have comfortable journey. Zoo is interesting place for children who enjoy watching animals and want to know more about them. Even youngsters love to visit zoo. |
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Answer» In our family, we have planned to take children to the zoo next Sunday. A Van has been arranged and we are sure to have a comfortable journey. The Zoo is interesting place for children who enjoy watching the animals and want to know more about them. Even the youngsters love to visit the zoo |
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| 27560. |
This is a desk, and ______ tables? A) those are B) these C) that are D) that is |
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Answer» Correct option is A) those are |
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| 27561. |
The beliefs ______ Moslems hold are based on the teachings of Prophet Mohammed. A) that B) whom C) who D) whose |
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Answer» Correct option is A) that |
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| 27562. |
Prophet Mohammed ______ born in 570. A) did B) is C) to be D) was |
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Answer» Correct option is D) was |
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| 27563. |
I am sorry _____ you. A) disturbing B) to disturb C) disturb D) disturbed |
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Answer» Correct option is B) to disturb |
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| 27564. |
A photograph taken using special short wave rays to see through or into things is an ______ |
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Answer» Correct option is x-ray |
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| 27565. |
Tom has been very busy, and ______ . A) neither am I B) I have too C) so have I D) so do I |
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Answer» Correct option is C) so have I |
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| 27566. |
His courage is worthy ______ the highest praise. A) of B) with C) about D) at |
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Answer» Correct option is A) of |
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| 27567. |
Someone who has no real reason to, but hates all foreigners or strangers is ______ |
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Answer» Correct option is xenophobic |
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| 27568. |
He hates _____ when he is having his after-lunch nap. A) to disturb B) being disturbed C) to have disturbed D) having been disturbed |
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Answer» Correct option is B) being disturbed |
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| 27569. |
He hates liars, and so ______ . A) does he B) she does C) is she D) works she |
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Answer» Correct option is A) near |
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| 27570. |
The sum covers the cost inclusive ______ postage. A) of B) at C) with D) on |
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Answer» Correct option is A) of |
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| 27571. |
He is always happy and smiling. He is very ______. A) cheerful B) hard-headed C) funny D) intelligent |
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Answer» Correct option is A) cheerful |
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| 27572. |
He hates _____ calculators. A) use B) using C) used D) to use |
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Answer» Correct option is B) using |
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| 27573. |
Some of the students of this college stay in the ______. A) house B) dormitory C) flat D) country |
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Answer» Correct option is B) dormitory |
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| 27574. |
He was not ______ of my plan. A) know B) course C) aware D) wisdom |
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Answer» Correct option is C) aware |
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| 27575. |
In which city in India would you find the historic Mehrangarh fort? |
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Answer» Jodhpur city |
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| 27576. |
Which patron saint of Lahore and one of the finest embodiments of inter-faith harmony was asked by Guru Arjun Dev to lay the first stone of the Golden Temple on January 15, 1588 AD? |
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Answer» Sain Hazrat Mian Mir who mostly resided in Begumpura town in Lahore |
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| 27577. |
In a corner of the courtyard lies a wooden cabinet with five relics of the Prophet known as Dargah Asar Sharif. These were inherited by the Mughals from Timur who in turn got them them from Sultan Bayazid Yaldaram from Turkey. Kept safely, are a treasure trove that includes a set of two Arabic writings in Kufic script on deerskin. which is the handwritten Quran of Hazrat Ali, son-in-law of the Prophet and excerpts of Quran Sharif translated by Imam Hasan-grandson of the Prophet. Can yoiu name the historic building we are referringto? |
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Answer» Jama Masjid-Delhi |
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| 27578. |
He was occupied ______ doing his homework. A) with B) in C) at D) by |
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Answer» Correct option is B) in |
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| 27579. |
Do you plead guilty ______ stealing the car? A) to B) from C) with D) of |
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Answer» Correct option is D) of |
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| 27580. |
I was most grateful ______ you for your kindness. A) with B) by C) in D) to |
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Answer» Correct option is D) to |
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| 27581. |
What role did Mrs Fitzgerald play to make Mrs Pearson the boss of the family |
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Answer» Ther were some roles which Mr. Fitzgerald played to make Mrs. Pearson boss of the family. They are: Mrs. Fitzgerald, with the aim of making Mrs, Pearson proclaim her rights and come out as a condent and independent person, suggested to exchange personalities with her. She believed that if Mrs. Pearson would be more assertive in her needs and come out as a bold woman, her husband and children would take notice and act respectfully. To go about this art of exchanging personalities that she had learnt in the East, Mrs. Fitzgerald recited a spell as the two women held hands and looked into each other's eyes and gradually their personalities changed bodies. Mrs. Pearson then goes on being a bold, dominating mistress in the Pearson house and after much chaos over her actions, they switch personalities again. Mrs. Pearson then plays a game of rummy with the family that night and talked to her husband. It made everyone realise how important she is to the family and that's how she became the boss of the family. |
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| 27582. |
What does Aris say about the fight going on in Rangoon? |
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Answer» Aris says the fight going on in Rangoon, where his mother is kept under house arrest, is not just for setting her free. It is a part of the worldwide struggle for human rights. |
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| 27583. |
Read carefully the stanza given below and answer the questions that follow:"Like a bird his heart is twittering, panting he is sweating and out of breath."(i) Name the poem from which these lines have been taken. (ii) Who has written these lines? (iii) Who is compared to a bird? (iv) Why is he panting? |
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Answer» (i) These lines have been taken from the poem—"The Sleeping Porter." (ii) These lines have been written by Laxmi Prasad Devkota. (iii) The porter is compared to a bird. (iv) As he is tired, he is panting. |
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| 27584. |
What does the experience of European countries give us? |
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Answer» The experience of European countries gives us examples of civilization without culture. |
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| 27585. |
Why had Alexander Aris accepted the nobel Peace Prize on behalf of his mother? |
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Answer» His mother was not present there due to some circumstances. That is why Alexander Aris accepted the Nobel Peace Prize on behalf of his mother. |
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| 27586. |
Read the extract carefully and answer the following questions : We must also remember that the lonely struggle taking place in a heavily guarded compound in Rangoon is part of the much larger struggle, worldwide, for the emancipation of the human spirit from political tyranny and psychological subjection. The prize, I feel sure, is also intended to honour all those engaged in this struggle wherever they may be. It is not without reason that today's events in Oslo fall on the International Human Rights Day, celebrated throughout the world. Mrs. Chairman, the whole international community has applauded the choice of your committee. Just a few days ago, the United Nations passed an unanimous and historic resolution welcoming Secretary-General Javier Perez de Ciller's statement on the signification of this award and endorsing his repeated appeals for my mother's early release from detention. Let never be said by future generations that indifference, cynicism or selfishness made us fail to live up to the ideals of humanism which the Nobel Peace Prize encapsulates. (i) Name the topic and the author. (ii) What should they remember? (iii) What does he feel about the prize? (iv) What does the speaker say about future? (v) What did the United Nation pass? |
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Answer» (i) The topic is 'Acceptance speech' and the author is Aung San Suu Kyi. (ii) They should remember that the lonely struggle taking place in a heavily guarded compound in Rangoon is part of much larger struggler, world for the emancipation of the human spirit from political tyranny and psychological subjection. (iii) He feel about the prize that it is intended to honour all those engaged in this struggle wherever they may be. (iv) The speaker says about the future is that generation that indifference, cynicism or selfishness made them fail to live up to the ideals of humanism which the Noble Peace Prize expresses. (v) The United Nations passed an unanimous and historic resolution welcoming Secretary. General Javiour Perez de Cuillar's statement on the significance of this award and endorsing his repeated appeals for my mother's early release from detention. |
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| 27587. |
Why did Akaulya shout at Malasha? |
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Answer» Akoulya shouted at Malasha because the later splashed dirty water or her frock. She was angry when she save stains on her new frock. She ran after Malasha to strike her. |
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| 27588. |
Why did Akoulya try to check Malasha? |
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Answer» Akoulya tried to check Malasha because she did not want Malasha to get scolded by her mother. |
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| 27589. |
Read carefully the stanza given below and answer the questions : "Happy the man whose wish and care A few paternal acres bound Content to breathe his native air In his own ground." (i) Who has written these lines? (ii) Who according to the poet, is the happy man? (iii) How is the content? (iv) Name the poem from which the stanza has been taken. |
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Answer» (i) Alexander Pope has written these lines. (ii) A man who has some acres of paternal land and lives on its belongings is happy. (iii) In a happy life one is contented to live unknown and die unlamented. (iv) This stanza has been taken from the poem "Ode on Solitude". |
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| 27590. |
What was the reason of man's death? |
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Answer» The man was rich but he was not contented with his wealth. He was desirous of adding more gold to his assets. To achieve this objective he laboured hard day and night. He did not care for his health. He became very weak and oneday he died. |
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| 27591. |
Before the final game, life was ordinary, daily routine. Each day I awakened with a mental list of tasks I had to complete before the end of the day. My life wasn’t too complicated: class, soccer (football) practice, studying and sleep. Often I returned home from soccer field after heavy practice to study until the early hours of the morning.Having accepted well to my daily routine, I never imagined it would be altered. However, my life changed the day on the final game. It was the last game of the tournament; and winner would achieve ‘championship’.My team had been under vigorous (tough) physical training for the past four years in anticipation of this day. But emotionally we were ready as well. I was ready. I entered the game with the mindset (HlrM.dl) that the title was in our hands. We deserved it because our desire to win was great!(1) How was the writer awakened each day?(2) What was the daily routine of the writer before the final game?(3) When did the writer’s life change ?(4) Why was the writer confident about their winning the championship?(5) Pick out from the passage the words with similar meanings:(i) changed(ii) expectation |
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Answer» (1) Each day the writer was awakened with a mental list of tasks she had to finish before the end of the day. (2) Before the final game, the writer followed an ordinary daily routine. She attended her class, practised soccer, studied and went to sleep. (3) The writer’s life changed on the day of the final game. (4) The writer was confident about their winning the championship because her team had been under vigorous physical training for the past < four years and they were emotionally ready as well. (5) The words are:
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| 27592. |
Share with your Partner any instance of your personal experience where you, or somebody you know, had to make a difficult Choice. |
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Answer» One of my friend’s father had to leave for America for 5 years, leaving his children and wife alone at the country. But, he had to do that because he wanted to provide a bright future to his children by earning money. That was the toughest decision I think I have seen someone taking during my lifetime. |
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| 27593. |
I’ll have to think _____ this before I give you an answer. A) about B) on C) in D) of |
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Answer» Correct option is A) about |
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| 27594. |
Read the following passage and answer the questions that follow: George Washington was the first President of the United States of America. He was born over two hundred years ago in the state of Virginia on February 22. When George was a boy, he had lots of fun exploring the woods and forests near his home. He enjoyed hunting, boating, and fishing. He lived on a farm and helped his father with the chores that needed to be done. George went to school until he was 14 years old. His favorite subject was Mathematics. George was a good, quiet boy who got along well with others. George grew up to be a tall and strong man. He joined the military. He was a great leader and helped with many battles. He is best remembered as a leader of the continental army. He helped the Americans win the revolutionary war against Great Britain for independence. 1. How did he help the Americans? 2. Why is George best remembered? 3. Young George was fun exploring. How? 4. What did George enjoy doing? |
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Answer» 1. He helped the Americans win the revolutionary war against Great Britain for independence. 2. George is best remembered as a leader of the continental army. 3. When George was a boy, he had lots of fun exploring the woods and forests near his home. 4. George enjoyed hunting, boating, and fishing. |
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| 27595. |
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. Pasha was very high up in 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 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? |
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Answer» 1. Pasha want to climb very high up to get the nuts and monkey was already there and it is easy to get the nuts by monkey. So he provokes the monkey. 2. The Monkey expressed its anger by throwing nuts on him. 3. Pasha Sab was very intelligent man. 4. Pasha expressed his gratitude to the monkey by saying “Thank you my dear monkey”. |
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| 27596. |
The old lady thanked me _____ helping her across the street. A) with B) on C) about D) for |
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Answer» Correct option is D) for |
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| 27597. |
The housewife TASTED the soup and said it was delicious. A) cooked B) tried C) tried on D) took E) gave |
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Answer» Correct option is B) tried |
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| 27598. |
I tasted the soup ______. A) wonderful B) suspiciously C) happy D) haste |
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Answer» Correct option is B) suspiciously |
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| 27599. |
What is the reason for an uncontrolled fission reation ending in an explosion? |
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Answer» Nuclear fission is the process in which the nuclei of greater atomic mass are split into lighter nuclei using neutrons. The mass of nucleus produced in such a process is less than of its parent nuclei. Thus there will be loss of matter in fission process. The mass lost during fission converts into energy. The two or three neutrons produced during the process, bombards with other nucleus and fission process continue rapidly and ends in big explosion. |
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| 27600. |
Classify the energy from the following sources as green energy and brown energy. Solar cells, atomic reactors, tidal energy, hydroelectric power, diesel engines, windmills, thermal power stations. |
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