UPSC ONLINE ACADEMY

Raashid Shah

DECISION MAKING SET-5

Q.1 You are the manager of the finance company. In an international level seminar on the condition of recession in India, you have to make a presentation. You have collected all the data & information. Some of the data may lead to decline in investment in your company. What would you do? A)Make the presentation giving all the information & data despite the risk of decline in investment & assure the investers that your company will do every possible step to protect their money B)Make the presentation on the basis of only favouring data & information C)Exaggrate the favouring data, without much highlighting the opposing data D)Modify the opposing data to make it upto the mark Ans. C Q.2 You are working as a joint secretary in the Power Ministry. You have been assigned the job of restricting the wastage of coal in the thermal power plants such as wastage due to low calorific value of coal, pilferage at pit head or in transit etc. what would you do? A)Set up a new thermal power plant at the pit head itself B)Restrict coal production & balance of demand will get fulfilled by imports C)Allow local companies for self coal mining & provide all assistance to arrest pilferage at pit head or in transit D)Synchronise production & dispatch & minimize coal stock in collieries Ans. D Q.3 You are general manager of a company. You have to launch a new product in the market where there are many similar products. What would you do? A)Give advertisement in newspapers & on television B)Offer attractive gifts with your product C)Publicise the good things about your product D)Publicise the product comparing other similar products in the market Ans. D Q.4 You are working as a Sub-Divisional officer & one Block development Officer is not cooperating with you as he is related to the DM of your district & does no work at all. What would you do? A)Take the matter form him after scolding B)Raise the matter in a meeting C)Complain about him to a senior official D)Ask a written reply from him for not doing work Ans. D Q.5 You have been asked by your employer to perform a task that is unsafe & harmful to you. What would you do? A)Refuse to do work B)Complain to your co-worker about the situation C)Convince the employer that the work is unsafe & harmful to you D)Make suggestions to your employer on how to make the task safer & less harmful Ans. D

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DECISION MAKING SET-4

Q.1 You are an IAS Officer.Your senior passed some urgent orders which seems wrong to you.What would you do? A) Tell him that his orders are wrong B) Follow the orders C) Gently put your thoughts & still if he insists follow the orders D) Tell him to revise his orders Ans. C Q.2 You are at railway station with your old parents. Suddenly it was announced that a burning train full of explosives is coming towards platform. You will A) Take your parents out of station B) Try to remove all the persons from the platform C) Form a team of youngsters, help old persons, women & children in going to safer place & contact station master D) Help station master in extinguishing fire Ans. C Q.3 You are working in the office. Your boss comes & insults you in presence of others. Besides that he promotes a man who is junior to you. You will A)Resign from the post B)Try to take revenge whenever opportunities comes to you C)Keep patience & will ask the reason when you find him cool D)Tell the complete incidence to the management committee Ans. C Q.4 You are the district Magistrate of a district. Some people are protesting against a policy of the govt, in front of your office. You are not able to work properly due to agitation. You will A)Make people understand that it is the higher authority decision B)Pacify the agitators & assure them of taking the matter to the higher authorities C)Pacify the agitators & assure them that you will do unto your capability D)Call the police to handle the situation Ans. B Q.5 You are worker of a construction company. While doing your work you came to know that the quality of products used in a building by the builders was not upto the mark. When you informed about it to the project manager, he tried to bribe & threaten you. What will you do? A)Report about it to any senior official B)Complain about the matter to the police C)Accept the bribe due to threatening D)Go on strike with all the workers Ans. A

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DECISION MAKING SET-3

Q.1 You share a cabin with rahul , who has the habit of chatting loudly with other co-workers during office hours. It disturbs you a lot & due to this, sometimes you are not able to finish your work. Despite your repeated requests, his habbit seems to be getting worse. What would you do to tackle the situation?A) Fight with your co-worker RahulB) Suffer in silenceC) Talk about Rahul behind his back & warn other co-workers not to get involve in talk, otherwise you would complain to the bossD) Having a frank discussion with Rahul about what is bothering you & if he does not pay any attention, then complain about it to your bossAns. D Q.2 You are working as a manager in a govt. organization. Your nearest boss does not seem to like you. How would you handle such a situation?A) File a written complain about your boss to his seniorB) Speak to your boss in private and try to understand and resolve the issueC) Keep on doing your work as you cannot do much in such a situationD) Speak bad about your boss behind his back as he is also bad mouthing youAns. B Q.3 You led a team, which has recently completed a very important task, assigned by the govt. A felicitation programme was organized by the Mayor of your city.In the programme, he was showering accolade on you and was mentioning about your team. What would do?A) Thanked him & then said that you did not work alone & it was a team effortB) Took the praise & then told your team that you did not know how to explain in front of the Mayor that the work was the team effortC) Accept the accolade & try to steal the spotlightD) Keep mum & do nothingAns. A Q.4 You are working as a sales Manager in Indian railways. Your senior is trying to make you understand some difficult but important project. You are not to able understand some parts of it. What would be your reaction?A) Listen silently without any reactionB) Remain aloof from all the discussionC) Try to excuse yourself and ask your senior to explain it to you againD) Make others feel that you have understood everythingAns. C Q.5 You are working with Delhi police. A task has been assigned to one of your co-workers, but you believe that you can do it in a better way because of your knowledge & prior experience in that case. What would you do?A) Inform your senior to assign this task to you, explaining him that you can better deal with the caseB) Work with your co-worker in parallel & submit to your senior for his approvalC) Show your feelings to your co-worker in achieving the task with cooperationD) Concentrate on your workAns. C

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DECISION MAKING SET-2

Q.1 You are a student & you appeared in a competitive exam. You noticed that the minister’s son got a copy of solution from outside. You willA)Concentrate in writing exam as time is running fastB)Start protesting & fighting against minister’s sonC)Inform the invigilator & then concentrate on writing your exam D)Leave the exam & try to gather people outside the examination centre & start appealing for cancellation of the examAns. C Q.2 You are working in a govt. department. Your boss gives a piece of work & orders you to follow his instructions to complete the work but the work is difficult to finish within time. You willA)Persuade him to extend the timeB)Start the work & try to finish within the time limit, even working on holidaysC)Start the work, try to finish it & if you cannot, then ask your boss for time extensionD)Take the help of other colleagues in finishing the work Ans. B Q.3 You are sitting among the friends & an argument erupts. You know that you are right but some others are opposing your view point without any edge & that too aggressively. You willA)Start fighting with themB)Plead your arguments politely C)Keep quite & let them overpower youD)Star keeping our views in an aggressive wayAns. B Q.4 You are a stranger in the city. You have lost your purse. You have to deposit admission fee in your college next day before 5 pm. Your home is 24 hours train journey one way. You willA)Lose all your hope & start cryingB)Approach for extension of time. Ring up home to remit money by electronic transfer or money transferC)Ask someone for helpD)Return to your home as nothing can be doneAns. B Q.5 You are proceeding to your home to attend marriage of your brother. When you were about to reach railway station, your ticket had fallen on the way. There is no possibility of reservation for another 15 days. You willA)Contact the station superintendent immediately & get fresh ticket in reference of your reservationB)Leave the plan to go to your homeC)Arrange tickets by paying illegallyD) Just think to give bribe to Ticket checker.Ans. A

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DECISION MAKING SET-1

Q.1 You are heading a leading technical institute of the country. The institute is planning to convene a interview panel shortly under your chairmanship for selection of the post of professors. A few days before the interview you get a call from the personal secretary of a senior government functionary seeking your invention in favour of the selection of a close relative of the functionary for this post. The PS also informs you that he is aware of the long pending & urgent proposals of your institute for grant of funds for modernization which are awaiting the functionary’s approval. He assures you that he would get these proposals cleared. A) He could accept the proposal & select the said candidate B) He could refer the matter to his superior officer & seek his advice & act strictly in accordance with the advice C) He could consult his other colleagues who are party to the decision & take action as per their advice D) He could reject the proposal outrightly Ans. D Q.2 As a senior officer in the Finance Ministry you have access to some confidential & crucial information about policy decisions that the government is about to announce. These decisions are likely to have far reaching impact on the housing & construction industry. If the builders have access to this information beforehand, they can make huge profits. One of the builders has done a lot of quality work for the government & is known to be close to your immediate superior who asks you to disclose this information to the said builder. A) The said information may be disclosed & favour of the immediate superior & other benefits received B) The officer in question could proceed on leave & leave the matter to be dealt by his successor in office C) The matter could be consulted with the other colleagues & take action as per their advice D) The matter could be reffered to an officer who is higher in rank than the immediate superior & his advice sought & action should be strictly in accordance with the advice Ans. D Q.3 You are the executive director of an upcoming Infotech company which is making a name for itself in the market. Mr. A who is a star performer is heading the marketing time. In a short period of one year he has helped in doubling the revenues as well as creating the high brand equity for the company so much so that you are thinking of promoting him. However you have been receiving information from many corners about his attitude towards the female colleagues, particularly his habbit of making loose comments on women. In addition he regularly sends incedent SMS’s to all the team members including his female colleagues. One day late in the evening Mrs. X who is one of Mr. A’s team members comes to you visibly disturbed she complains against the continued misconduct of Mr. A who has been making undesirable advances towards her & has even tried to touch her inappropriately in his cabin. She tenders her resignation & leaves your office. A) To promote Mr. A on the basis of his good performance thinking he would bring benefits to the company & accept the resignation of Mrs. X B) To persuade Mrs. X not to resign & tell her that Mr. A is a star performer if he is punished the company would suffer losses. Therefore she should not complaint & Mr. A would be told not to repeat his actions C) To reject resignation on the ground that action would be taken only to buy some time to prove something against Mrs. X so that she could be fired & voice of other victims could be silenced D) To reject the resignation of Mrs. X & set up an internal inquiry. The punishment in the case of Mr. A being found guilty Ans. D Q.4 You are a govt. officer. You received an urgent message from your superior. But you feel that the message is wrong. You will A)Show the message to your best friend & then after seeing the reaction will decide to follow it or not B)Obey first C)Ask the superior for clarification D)Not do anything & wait for the response of superior Ans. C Q.5 There is some objectionable content in book regarding Gandhiji. Many people are agitated & annoyed with the same. You are a social activist. You will A)Lodge a police complaint B)Mobilize support in favour of the matter & put pressure on the concerned author to remove objectionable content from the book C)Go on rampage along with others D)Ignore as it is concerned with personal thinking of the author Ans. B

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PERCENTAGE & RATIO PROPORTION SET-1

Q.1 The salary of a worker was first increased by 10% & decreased by the 5%. What was the change in his salary ? A) 4.5 % B) 4.6 % C) 5.5 % D) 5.6 % Ans. A Shortcut: x-y-xy/100 or 10-5-10*5/100 4.5 % Q.2 If population of a town is increased by the 20% in the 1st year & is decreased by the 20% in the next year ,what effect can see in the population ? A) 3 % B) 4 % C) 5 % D) 6 % Ans. B Shortcut : (x)2/100 Or 202/100 Or 400/100 = 4 % Q.3 In an examination 40% of the students failed in Mathematics , 30% failed in the English & 10% failed in both. Find the % of the students who passed in both the subjects ? A) 40 % B) 41 % C) 42 % D) 43 % Ans. A 100- (40+30-10) = 100-(70-10) 100-60 =40% Ans. Q.4 Due to reduction in the price of the apples by 10% a customer can buy 2kg of apples more for Rs. 180. Find the original price of the apples per kg ? A) Rs. 13 B) Rs. 12 C) Rs. 11 D) Rs. 10 Ans. D 10% of 180 = 10/100 * 180 = 18 Therefore, Cost of 2kg of apples = Rs. 18 Cost of 1 kg of apples = Rs. 9 Let reduced price /kg = Rs.9 Let original price /kg = Rs. x Or x-10x / 100 = 9 90x / 100 = 9 X= 10 Q.5 In a library 60% of the books are in Hindi, 50% of remaining are in English & remaining 900 are in other languages . What is the total no. of books are in English ? A) 9000 B) 10000 C) 11000 D) 12000 Ans. A Hindi = 20/100 X English = 50/100*80/100 (i.e. remaining) = 40/100 x Now, total books i.e. 20x/100 + 40x/100+9000 = x On solving ,we get X=22500 Now, to solve no. of books in English, 40/100 * 22500 = 9000

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MISCELLANEOUS MCQ SET-20

Q.1 The following figure shows the displacement time graph of a body in motion. The ratio of the speed in first second & that in next two seconds is:    A) 1 : 2B) 1 : 3C) 3 : 1D) 2 :1Ans. DRequired ratio : Speed in first second / Speed in next two seconds= Displacement in first second/t    /  Displacement in next two seconds/2t30/1  / 30(3-1) = 30/15 = 2 : 1 Q. 2 Seven players A,B,C,D,E,F & G are to be seated such that :1. B must always occupy second position2. F must always occupy sixth position3. D & E must be seated adjacent to each positionIn how many different ways can they be seated ?A) 8B) 12C) 24D) None of the aboveAns. C Position : 1 2 3 4 5 6 7B F As D & E are seated to each other, they can only occupy at position 3,4 & 5 in 2 * 2 = 4 waysRemaining three A,C & G can occupy in 3! = 6 waysTotal no. of required ways = 4 * 6 = 24 Q. 3 When 60% of a no. A is added to another no. B, B becomes 175 % of its previous value. Which one of the following is correct ?A) A > BB) B > AC) Either of the above can be true depending upon the values of A & bD) None of the above three can be predicted without more dataAns. A 60/ 100 * A+B = 175/100 * B3/5 A = 7/4 B-B3/5A = 3/4BA/B = 5/4 Q.4 A cube of length 1 cm is taken out from a cube of length 8 cm. What is the weight of the remining portion ?A) 7/8 of the weight of the original cubeB) 8/9 of the weight of the original cubeC) 63/64 of the weight of the original cubeD) 511/512 of the weight of the original cubeAns. D Volume of remaining portion = 83 – 13512-1 = 511Since Volume is proportional to weight Then, weight of remaining portion = 511/ 512 of the weight of the original cube Q.5 If Saturday falls four days after today which is 6th January, on which day did the first of December of the previous year fall ?A) TuesdayB) FridayC) SundayD) MondayAns. D Today = 6 JanuaryThe date after 4 days = 10 January = SaturdayThe date before 7 days = 3 January = SaturdayLast years, the date of 31 December = Saturday – 3 days = WednesdayTherefore, the day on December 1 of last year = Wednesday – 2 days = Monday Q.6 Five friends F1, F2, F3, F4, F5 have Rs.100 each. F1 gives Rs. 12 to F3 who also borrows Rs.10 from F2 who in turn takes Rs.15 from F5 while F5 gives Rs.18 to F4 & Rs.12 to F1. F1 borrows Rs.20 from F4. What is the amount of money left with F2 ?A) Rs. 120B) Rs. 122C) Rs. 105D) Rs. 97Ans.  C F1 F2 F3 F4 F5100 100 100 100 100-12 -10 +12 +18 -15+12 +15 +10 -20 -18+20 -12105 Q.7 If 2nd & 4th Saturdays & all the Sundays are taken as holidays for an office, what would be the minimum number of possible working days of any month of any year ?A) 20B) 21C) 22D) 23Ans.  C Let February of 28 days& 1st day is SundayNumber of Sunday in that month = 4Number of Staurday = 4No. of holiday = 4+2 = 6 daysNo. of working days = 28-6 = 22 days Q.8 The average of five consecutive nos. is x. If the next two numbers are also included, how shall the average vary ?A) It shall increase by 1B) It shall remain the sameC) It shall increase by 1.4D) It shall increase by 2Ans. A Let 5 consecutive nos. are (x-2), (x-1), x, (x+1), (x+2), (x+3), (x+4)Their average will be (x+1)Hence , average vary by, x+1-x = 1  

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MISCELLANEOUS MCQ SET-19

Q.1 Which will be the next term in the following?KPA, LQB, MRC, NSD……A) OETB) OTEC) TOED) EOTAns. B Q.2 Consider the following:1. Every square is a rectangle.2. Every rectangle is a parallelogram.3. Every parallelogram is not necessarily a square.Which one of the following conclusions can be drawn on the basis of the above statements?A) All parallelograms are either squares or rectanglesB) A non-parallelogram figures cannot be either a square or a rectangleC) All rectangles are either squares or parallelogramsD) Squares and rectangles are the only parallelograms.Ans. B Q.3 Abhishek had a certain number of Re1 coins, Rs 2 coins and Rs 10 coins. If the number of Re 1 coins he had is six times the number of Rs 2 coins Abhishek had, and the total worth of his coins is Rs 160, find the maximum number of Rs 10 coins Abhishek could have had.A) 12B) 10C) 8D) 6Ans. AIf the Abhishek had x Re 1, y Rs 2 coins and z Rs 10 coins, the total value of coins he had: =x(1)+y(2)+z(10)=x+2y+10z=160Since, 6y=xThus, 8y+10z=160 i.e 8y is a multiple of 10 i.e. y=5 or y=10 i.e. (x,y,z)=(30,5,12) or (60,10,18)Thus, the maximum value of ‘z’ is 12 Q.4 Select a suitable figure from the four alternatives that would complete the figure matrix. miscset19 A) 1B) 2C) 3D) 4Ans. AIn each row, the third figure comprises of a black circle and only those line segments which are not common to the first and the second figures. Q.5 The following table shows he marks obtained by two students in different subjects:Student A   Maximum Marks Student B Maximum MarksEnglish   60 100     80 150Psychology70 100     70 100History   50 100     60 100Sanskrit  30 50     15 25 The difference in the mean aggregate %ge marks of the students is-A) 2.5%B) 13.75%C) 1.25%D) ZeroAns. DExplanation: Mean %ge of A==(60+70+60+15/150+100+100+25)*100%=225/375 *100%=60%Reqd. mean aggregate %ge marks of the students=60%-60%= Zero Q.6 A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. If all the three bells ring at the same time at 3 O’ clock in the morning,at what other time will they all ring together?A) 12:40 hrsB) 12:48 hrsC) 12:56 hrsD) 13:04 hrsAns. BExplanation: L.C.M. of 18, 24 & 32=288Time in hrs=288/60=4:48So, reqd. time = 8+ 4:48=12:48 hrs Q.7 ‘Price is not the same thing as the value. Suppose that on a day the price of everything viz, coal, bread, postage stamps, a day’s labour, the rent of houses, etc. were to double. Prices then would  certainly rise, but values of all things except one would not.The writer wants to say that if prices of all things were doubled-A) The values of all things would remain constant.B) The values of the things sold would be doubledC) The values of the things bought would be halvedD) The value of the money only would be halved.Ans. D Q.8 A & B decide to travel from place X to place Y by bus. A has Rs. 10 with him & he finds that it is 80% of the bus fare for two persons. B finds that he has Rs. 3 with him & hands it over to A. in this context, which one is correct?A) Now the money A has is just enough to buy two tickets.B) A still needs Rs. 2 for buying the tickets.C) After buying the two tickets A will be left with 50 paiseD) The money A now has is still not sufficient to buy two tickets.Ans. CExplanation: Let the reqd.amount is= Rs. XAs per question,80% of x = Rs. 10X= 10*100/80=Rs. 12.5(A+B)’s total amount= Rs. (10+3)=Rs. 13Remaining amount=Rs.(13-12.5)=50 paise Q.9 As per aggrement with a bank, a businessman had to refund a loan in some equal instalments without interest. After paying 18 nstalments he found that 60% of hi loan was refunded. How many instalments were there in the agreement?A) 22B) 24C) 30D) 33Ans. CExplanation: Let the no. of reqd. instalments would be x60% of x= 1860/100 * x= 18X= 30 Q.10 A worker reaches his factory 3 minutes late if his speed from house to factory is 5km/hr. if he walks at a speed of 6km/hr, then he reaches the factory 7 minutes early. The distance of the factory from his house is-A) 3 kmB) 4 kmC) 5 kmD) 6 kmAns. CExplanation: Reqd. distance==5*6/6-5*(3/60+7/60)=5 km  

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MISCELLANEOUS MCQ SET-18

Q.1 Five persons fire a bullets at a target at an interval of 6,7,8,9,& 12 seconds respectively. The no. of times they would fire the bullets together at the target in an hour is A) 6 B) 7 C) 8 D) 9 Ans. B Explanation:L.C.M. of 6,7,8,9 & 12 = 504Reqd. no. = 60*60/504=7 times Q.2 Assume that-1. the hour & minute hands of a clock move without jerking.2. the clock shows a time between 8 O’ clock & 9 O’clock.3. the two hands of the clock are one above the other.After how many minutes (nearest integer) will the two hands be again lying one above the other? A) 60 B) 62 C) 65 D) 67 Ans. C Explanation: Reqd. time=60*60/55=65 5/11= 65 Q.3 A gardener increased the area of his rectangular garden by increasing its length by 40% & decreasing its width by 20%.The area of the new garden A) has increased by 20% B) has increased by 12% C) has increased by 8% D) Same as the old area Ans. B Explanation:The area of the new garden==(40-20- 40*20/100)%=(20-80)%=12% Q.4 If you have a spinning wheel with 3 green sectors, 1 blue sector and 1 red sector, what is the probability of getting a green sector? What is the probability of getting a non blue sector? A) Green = 3/5 ; Non-blue = 4/5 B) Green = 2/5 ; Non-blue = 3/5 C) Green = 4/5 ; Non-blue = 3/5 D) Green = 3/5 ; Non-blue = 2/5 Ans. A Total number of events = 5 Q.5 A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball? A) 2/3 B) 2/4 C) 2/5 D) 2/6 Ans. A There are in all (4 + 2 =) 6 outcomes of the event. Getting a red ballconsists of 4 outcomes. Therefore, the probability of getting a red ball is4/6 = 2/3 Q.6 There are 2401 students in a school. P.T. teacher wants them to stand in rows and columns such that the number of rows is equal to the number of columns. Findthe number of rows. A) 45 B) 47 C) 49 D) 51 Ans. C Let the number of rows be xSo, the number of columns = xTherefore, number of students = x × x = x2Thus, x2 = 2401 gives x = Sq. root of 2401 = 49The number of rows = 49 Q.7 The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there? A) 40 & 24 B) 42 & 24 C) 42 & 20 D) None of the above Ans. B Let the ten’s and the unit’s digits in the first number be x and y, respectively.So, the first number may be written as 10 x + y in the expanded form (for example,56 = 10(5) + 6).When the digits are reversed, x becomes the unit’s digit and y becomes the ten’sdigit. This number, in the expanded notation is 10y + x (for example, when 56 isreversed, we get 65 = 10(6) + 5).According to the given condition.(10x + y) + (10y + x) = 66i.e., 11(x + y) = 66i.e., x + y = 6 (1)We are also given that the digits differ by 2, therefore,either x – y = 2 (2)or y – x = 2 (3)If x – y = 2, then solving (1) and (2) by elimination, we get x = 4 and y = 2.In this case, we get the number 42.If y – x = 2, then solving (1) and (3) by elimination, we get x = 2 and y = 4.In this case, we get the number 24.Thus, there are two such numbers 42 and 24. Q.8 Satpal walks 2/3 km from a place P, towards east and then from there 1 5/7 km towards west. Where will he be now from P? A) Distance of 1 1/21 km towards west of P B) Distance of 1 7/21 km towards west of P C) Distance of 1 1/21 km towards east of P D) Distance of 1 7/21 km towards east of P Ans. A 2/3 + (-1 5/7) = 2/3 + (-12)/7= 2 * 7 / 3 * 7 + (-12) * 3 / 7 * 314-36 / 21 = 1 1/21 Since it is negative, it means Satpal is at a distance 1 1/21km towards west of P. Q.9 Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is ¾ m. Find the distance between the first and the last sapling A) 3 m B) 4 m C) 5 m D) 6 m Ans. A With 4 saplings there are 3 gaps: between 1 and 2, 2 and 3, and 3 & 43(3/4 m) = 9/4 m = 2.25 m Q.10 In a class of 40 students 1/5 of the total number of students like to study English, 2/5 of the total number like to study mathematics and the remaining students like to study Science. (i) How many students like to study English? A) 6 B) 7 C) 8 D) 9 Ans. C Total number of students in the class = 40.(i) Of these 1/5 of the total number of students like to study EnglishThus, the number of students who like to study English =1/5 of 40 = 8. (ii) How many students like to study Mathematics? A) 14 B) 15 C) 16 D) 17 Ans. C Total students = 40Students who like English = 1/5 * 40 = 8Students who like to study maths = 2/5 * 40 = 16 (iii) What fraction of the total number of students like to study Science? A) 1/5 B) 2/5 C) 3/5 D) 4/5 Ans. B Students who like

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MISCELLANEOUS MCQ SET-17

Q.1 Salil wants to put a picture in a frame. The picture is 7 3/5 cm wide. To fit in the frame the picture cannot be more than 7 3/10 cm wide. How much should the picture be trimmed ? A) 3/9 B) 2/10 C) 3/10 D) 2/9 Ans. C Therefore, picture to be trimmed Thus picture should be trimmed by 3/10 cm Q.2 Suman studies for 5 2/3 hours daily. She devotes 4 2/5 hours of her time for Science and Mathematics. How much time does she devote for other subjects? A) 1 13/15 B) 2 13/15 C) 1 12/15 D) 2 12/15 Ans. B Total time of Suman’s study =5 2/3 hr = 17/3 hr.Time devoted by her for Science and Mathematics = 2 4/5 = 14/5 hr Thus, time devoted by her for other subjects =17/3 – 14/5 hr17 * 5 / 15 – 14 * 3/ 15= 43/15 hr = 2 13/15 hr Q.3 Ritu ate 3/5 part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? A) 2/4 part B) 2/5 part C) 2/6 part D) 2/7 part Ans. BThe part eaten by her brother Somu =?Who eat the larger part of apple?The larger part of apple was how much larger?The part of apple left after eaten by RituTherefore, Somu ate 2/5 parts of apple.Now compare the part eaten by them Since, 3>2. Therefore, That means Ritu ate larger part.The difference in both parts Thus,Somu ate 2/5 part of apple.Ritu ate the larger part of appleRitu ate 1/5 part more apple than her brother Somu. Q.4 The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2.Find the rational number ? A) 13/ 21 B) 13/20 C) 11/21 D) 11/ 20 Ans. A Acc. to the question, 2(x + 17) = 3(x + 7)⇒ 2x + 34 = 3x + 21⇒ 34 − 21 = 3x − 2x⇒13 = xNumerator of the rational number = x = 13Denominator of the rational number = x + 8 = 13 + 8 = 21

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