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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is :
  • a)
    P
  • b)
    Q
  • c)
    Q’
  • d)
    None
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Th...
Given,
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
P = {1, 2, 5}
Q = {6, 7}
Q’ = {1, 2, 3, 4, 5, 8, 9, 10}
Hence,
P ∩ Q’ = {1, 2, 5} = P
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Most Upvoted Answer
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Th...
∪ Q = {1, 2, 5, 6, 7}.
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Directions:Read the passages and choose the best answer to each question.PassagePROSE FICTION: Silence: A Story of Courage and HealingSome say that silence is a great healer. If you’dsaid that to me two years ago, I wouldn’t have agreed.“Silence,” I would have argued, “is anything but heal-ing. There is nothing therapeutic about keeping your(5) feelings inside, never talking about what’s going on inyour life.” I now believe that silence is the reward youget from great healing, in addition to being the healeritself. But I didn’t know that then.I had never understood the value of silence.(10) I didn’t have to. My family was loud and happy. Andwhy not? Nothing serious ever went wrong—not thatwe knew about. Sure, my siblings and I always foughtnoisily until our mom yelled at us to stop. Then we’dshout and complain about injustice, but always, even-(15) tually, hug and make-up. Within the parameters of myinnocent world, I knew silence as a lack of something:a lack of noise, a lack of discussion, a lack of feel-ing, a lack of love. Maybe I was even a little afraidof the emptiness it created—the aural darkness where(20) forgiveness never happened. I thought I knew ... I wasvery wrong.Jaime entered my life without much fanfare abouttwo years ago. I’ll never forget the day I met him.My university required a community service stint to(25) graduate, and I wanted to get it out of the way. I’dheard that the local YMCA was a good resource, and Iliked working with little kids. I thought maybe they’dlet me teach swimming. So, on a cool October day inthe fall of my sophomore year, I made my way to the(30) YMCA looking for easy credits.I didn’t have a car at school until my junior yearof college, so if I needed to go anywhere, I wouldgenerally catch a ride with a friend or walk. On thatparticular day, no friend was available and the ten-mile(35) walk was far beyond my dedication to public service.Consequently, I was at the mercy of public transporta-tion. Thankfully, I’d heard the local bus system waspretty reliable. With the help of the CITA bus linemap, I climbed onto Bus Route 3, paid my fifty cents,(40) and scanned for a seat. Buses often have their ownunique demographic: each crowd is unlike any other.On this bus, most everyone was either asleep or totallyoblivious. Except for one kid. He wasn’t all thatbig—maybe thirteen years old—and he was seated by(45) himself, farther apart from the other riders than seemedpossible in such a crowded space. Unlike the others, hiseyes were alert. And they were glued on me.Normally, I ignore people with such awkwardhabits. But for some reason, I couldn’t stop staring(50) back. Odder still, instead of avoiding him, I foundmyself passing an empty seat to sit down on the benchbeside him. Once I did, he turned to look out the win-dow. That’s when the strangeness of it all hit me, andI started to feel a little awkward. I wanted to get back(55) in control of the situation. Trying to be subtle, I lookedhim over. I noticed some scarring on his hands, anda small gash on his cheek. Suddenly, he turned andlooked me in the eye. Expecting him to say something,I just waited, watching. He said nothing. After about(60) fifteen seconds, I couldn’t take the silence anymore.“Hi,” I said, trying not to appear as nervous as Ifelt.No response. He just kept staring.“I’m Katie.” I added a smile. Again, I received no(65) response. I gave it one more try.“I’ve never used the bus system before. It seemspretty reliable. Do you use it a lot?” Silence. My cheeryvoice sounded out of place. Other people were startingto stare at me. This time I gave up and turned my(70) head toward the front of the bus, trying to ignore thethirteen-year-old staring me down... again. I openedmy cell phone to check the time and saw that only twominutes had passed. This was going to be the longestbus ride ever.(75) Then a thin voice cut through the silence.“I’m Jaime.”My heart skipped a beat. Could it be that mysilence was the catalyst for this small victory? Byallowing Jaime the room that silence allows to make(80) his own decision about talking to me, I had made a con-nection. Suddenly, I knew that my long held opinionof silence was forever changed.Q.It can reasonably be inferred from the passage that the narrator had been raised with which of the following attitudes towards silence?

Directions: Read the passages and choose the best answer to each question.PassagePROSE FICTION: This passage is adapted from Susan Coolidges novel, What Katy Did © 1872.The September sun was glinting cheerfully intoa pretty bedroom furnished with blue. It danced onthe glossy hair and bright eyes of two girls, who sattogether hemming ruffles for a white muslin dress. The(5) half-finished skirt of the dress lay on the bed, and aseach crisp ruffle was completed, the girls added it to thesnowy heap, which looked like a drift of transparentclouds or a pile of foamy white of egg beaten stiffenough to stand alone.(10) These girls were Clover and Elsie Carr, and itwas Clover’s first evening dress for which they werehemming ruffles. It was nearly two years since a certainvisit made by Johnnie to Inches Mills and more thanthree since Clover and Katy had returned home from(15) the boarding school at Hillsover.Clover was now eighteen. She was a very smallClover still, but it would have been hard to find any-where a prettier little maiden than she had grown tobe. Her skin was so exquisitely fair that her arms and(20) wrists and shoulders, which were round and dimpledlike an infant’s, seemed cut out of daisies or whiterose leaves. Her thick, brown hair waved and coiledgracefully about her head. Her smile was peculiarlysweet, and the eyes, always Clover’s chief beauty,(25) had still that pathetic look which made them quiteirresistible to anyone with a tender or sympatheticheart.Elsie, who adored Clover, considered her as beau-tiful as girls in books, and was proud to be permitted(30) to hem ruffles for the dress in which she was to burstupon the world. Though, as for that, not much “burst-ing” was possible in the village of Burnet, where teaparties of a middle-aged description, and now andthen a mild little dance, rep-resented “gaiety” and(35) “society.” Girls “came out” very much as the suncomes out in the morning—by slow degrees and grad-ual approaches, with no particular one moment whichcould be fixed upon as having been the climax of thejoyful event.(40) “There,” said Elsie, adding another ruffle to thepile on the bed, “there’s the fifth done. It’s going to beever so pretty, I think. I’m glad you had it all white;it’s a great deal nicer.”“Cecy wanted me to have a blue bodice and sash,”(45) said Clover, “but I wouldn’t. Then she tried to persuademe to get a long spray of pink roses for the skirt.”“I’m so glad you didn’t! Cecy was always crazyabout pink roses. I only wonder she didn’t wear themwhen she was married!”(50) Yes, the excellent Cecy, who at thirteen hadannounced her intention to devote her whole life toteaching Sunday School, visiting the poor, and settinga good example to her more worldly contemporaries,had actually forgotten these fine resolutions, and before(55) she was twenty had become the wife of Sylvester Slack,a young lawyer in a neighboring town! Cecy’s weddingand wedding clothes, and Cecy’s house furnishing, hadbeen the great excitement of the preceding year inBurnet; and a fresh excitement had come since in the(60) shape of Cecy’s baby, now about two months old, andnamed ‘Katherine Clover,’ after her two friends. Thismade it natural that Cecy and her affairs should still beof interest in the Carr household, and Johnnie, at thetime we write of, was paying her a week’s visit.(65) “She was rather wedded to them,” went on Clover,pursuing the subject of the pink roses. “She was almostvexed when I wouldn’t buy the spray. But it cost lots,and I didn’t want it at all, so I stood firm. Besides,I always said that my first party dress should be plain(70) white. Girls in novels always wear white to their firstballs and fresh flowers are a great deal prettier, anyway,than the artificial ones. Katy says she’ll give me someviolets to wear.”“Oh, will she? That will be lovely!” cried the ador-(75) ing Elsie. “Violets look just like you, somehow. Oh,Clover, what sort of a dress do you think I shall havewhen I grow up and go to parties and things? Won’t itbe awfully interesting when you and I go out to chooseit?” Clover’s smile beamed.Q.As it is used in Paragraph 3, the phrase “the eyes, always Clover’s chief beauty, had still that pathetic look” most nearly means that

Direction:Read the passages and choose the best answer to each question.PassagePROSE FICTION: Football FailuresA cold wind soothed the faces of the sweaty menhuddled on the muddy field. The team stared at the goalline and focused on the game-ending, season-definingplay in front of them. Dusty air filled their lungs with(5)each deep heave they mustered.For almost two hours the men had battled theiropponents on the barren football field. Joe, the center,could see the coach describing the play to a youngerplayer. He was one of the grunts, a lineman, big and tall(10)and eager to push open gaps for the backs.The underclassman’s labored jog back to the huddle mirroredevery man’s fatigue.The quarterback confirmed the play and articu-lated it to his team. Joe saw his mouth move but could(15)not hear the words; nonetheless, he knew his blockingassignment. The hiss of the crowd muffled all sound onthe field. Suddenly, Joe picked a voice out of the din,and turned his attention to his good friend Mark. “Thisis it guys,” Mark was yelling. “We’ve been practicing(20)for four months this season and for three more yearsbefore that. It’s time we score and take home a win.Let’s get it done!” They all clasped hands to break thehuddle and returned to their individual concentration.Time seemed to drag as the team marched back(25)to the line of scrimmage. Joe glared at his opponents,pleased by the heavy clouds of vapor billowing fromtheir mouths. Exhaustion was written on their facesand in their twitchy movements on the line. He turnedhis head toward the place in which he wanted to force(30)a gap, then to the defensive end who stood fast withhis hands on his knees, gaze fixed on the ground. Joesmiled inwardly; he knew his team had beaten the otherwith physical play and superior endurance. Time frozeas he prepared to snap the ball.(35)Joe leaned over carefully and clutched the moistleather ball. His teammates cautiously took their placesright and left, lining up as in countless practice drills,in perfect order. Like clockwork, too, was each man’sthorough examination of the opposing force, scanning(40)back and forth for a gap or a weak player, feeling theopponents’ stares in return. Joe felt the quarterbackcrouch behind him. The passer’s booming voice stilldid not register with Joe, but instinct told him what heneeded to know. Three staccato hikes later, he snapped(45)the ball with speed and hurled himself towards the firstdefender.Joe felt the crunch of pads and brought his forearmunder the other man’s shoulder pads. Lifting with hisarms and legs, he threw the lesser player onto his back.(50)The meager lineman lay stunned for a moment, whichgreatly amused Joe, assuming the two yards he had senthis man back was more than enough to free the rusherto enter the endzone. This lucid moment lasted but asplit second before Joe again lunged toward an upright(55)opponent.Joe turned abruptly at the sound of a whistleand strained to find the scoring rusher. Somethingwas wrong. Joe’s teammates stood stunned, staring atthe pile of defensive players who had fallen on their(60)running back. Referees began pulling men off the heap.With only a few men left on the ground, Joe couldsee the ball, still in the backfield, and in the arms ofan opponent. He heard his coach from the sideline:“Fumble? Are you kidding me? I can’t believe you(65)guys!”His men had turned over possession of the ball,and time ran out on the game. “We had them beat,you know,” Mark hissed to Joe as they walked slowlyoff the field. “They were dead tired. We should have(70)won the game.” Their one chance was gone and nowthey had to endure the other team’s celebration on thefield. Joe’s team never liked losing, but having comeso close to a victory that day meant their last-minutedefeat would be especially disappointing.Q.The main point of the last paragraph is that Joe feels

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Direction:Read the passages and choose the best answer to each question.PassagePROSE FICTION: Football FailuresA cold wind soothed the faces of the sweaty menhuddled on the muddy field. The team stared at the goalline and focused on the game-ending, season-definingplay in front of them. Dusty air filled their lungs with(5)each deep heave they mustered.For almost two hours the men had battled theiropponents on the barren football field. Joe, the center,could see the coach describing the play to a youngerplayer. He was one of the grunts, a lineman, big and tall(10)and eager to push open gaps for the backs.The underclassman’s labored jog back to the huddle mirroredevery man’s fatigue.The quarterback confirmed the play and articu-lated it to his team. Joe saw his mouth move but could(15)not hear the words; nonetheless, he knew his blockingassignment. The hiss of the crowd muffled all sound onthe field. Suddenly, Joe picked a voice out of the din,and turned his attention to his good friend Mark. “Thisis it guys,” Mark was yelling. “We’ve been practicing(20)for four months this season and for three more yearsbefore that. It’s time we score and take home a win.Let’s get it done!” They all clasped hands to break thehuddle and returned to their individual concentration.Time seemed to drag as the team marched back(25)to the line of scrimmage. Joe glared at his opponents,pleased by the heavy clouds of vapor billowing fromtheir mouths. Exhaustion was written on their facesand in their twitchy movements on the line. He turnedhis head toward the place in which he wanted to force(30)a gap, then to the defensive end who stood fast withhis hands on his knees, gaze fixed on the ground. Joesmiled inwardly; he knew his team had beaten the otherwith physical play and superior endurance. Time frozeas he prepared to snap the ball.(35)Joe leaned over carefully and clutched the moistleather ball. His teammates cautiously took their placesright and left, lining up as in countless practice drills,in perfect order. Like clockwork, too, was each man’sthorough examination of the opposing force, scanning(40)back and forth for a gap or a weak player, feeling theopponents’ stares in return. Joe felt the quarterbackcrouch behind him. The passer’s booming voice stilldid not register with Joe, but instinct told him what heneeded to know. Three staccato hikes later, he snapped(45)the ball with speed and hurled himself towards the firstdefender.Joe felt the crunch of pads and brought his forearmunder the other man’s shoulder pads. Lifting with hisarms and legs, he threw the lesser player onto his back.(50)The meager lineman lay stunned for a moment, whichgreatly amused Joe, assuming the two yards he had senthis man back was more than enough to free the rusherto enter the endzone. This lucid moment lasted but asplit second before Joe again lunged toward an upright(55)opponent.Joe turned abruptly at the sound of a whistleand strained to find the scoring rusher. Somethingwas wrong. Joe’s teammates stood stunned, staring atthe pile of defensive players who had fallen on their(60)running back. Referees began pulling men off the heap.With only a few men left on the ground, Joe couldsee the ball, still in the backfield, and in the arms ofan opponent. He heard his coach from the sideline:“Fumble? Are you kidding me? I can’t believe you(65)guys!”His men had turned over possession of the ball,and time ran out on the game. “We had them beat,you know,” Mark hissed to Joe as they walked slowlyoff the field. “They were dead tired. We should have(70)won the game.” Their one chance was gone and nowthey had to endure the other team’s celebration on thefield. Joe’s team never liked losing, but having comeso close to a victory that day meant their last-minutedefeat would be especially disappointing.Q.The main point of the first paragraph is that

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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is :a)Pb)Qc)Q’d)NoneCorrect answer is option 'A'. Can you explain this answer?
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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is :a)Pb)Qc)Q’d)NoneCorrect answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is :a)Pb)Qc)Q’d)NoneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is :a)Pb)Qc)Q’d)NoneCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is :a)Pb)Qc)Q’d)NoneCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT. Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
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