Arithmetic Practice Questions - Shashank Prabhu, CAT 100 Percentiler - Set 1

  • CAT 100%iler, 5 times AIR 1, Director - Learningroots, Ex ITC, Pagalguy, TAS

    Sharing 20 questions (Answer key shared at the end) from a quiz on Arithmetic that Prasad Sawant did on Learningroots CET group. Do try these questions.

    1. A person who has a certain amount with him goes to market. He can buy 50 oranges or 40 mangoes. He retains 10% of the amount for taxi fares and buys 20 mangoes and of the balance he purchases oranges. Number of oranges he can purchase is?

    2. A group of men decided to do a job in 8 days. But since 10 men dropped out every day, the job got completed at the end of the 12th day. How many men were there at the beginning?

    3. Two liquids A and B are in the ratio 5:1 in container 1 and 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?

    4. Amol was asked to calculate the arithmetic mean of 10 positive integers, each of which had 2 digits. By mistake, he interchanged the 2 digits, say a and b, in one of these 10 integers. As a result, his answer for the mean was 1.8 more than what it should have been. Then b – a equals

    5. Mayank, Mirza, Little and Jaspal bought a motorbike for 60.Mayankpaidonehalfofthesumoftheamountspaidbytheotherboys.Mirzapaidonethirdofthesumoftheamountspaidbytheotherboys.Littlepaidonefourthofthesumoftheamountspaidbytheotherboys.HowmuchdidJaspalhavetopay?</p></li><li><p>AdealerbuysdryfruitsatRs.100,Rs.80andRs.60perkilogram.Hemixesthemintheratio3:4:5byweight,andsellsataprofitof50</li><li><p>Acollegehasraised75</li><li><p>AnandandBharatcancut5kgofwoodin20minutes.BharatandChandracancut5kgofwoodin40minutes.ChandraandAnandcancut5kgofwoodin30minutes.HowmuchtimewillChandraalonetaketocut5kgofwood?</p></li><li><p>Afterallowingadiscountof11.11</li><li><p>Amanearnsx</li><li><p>Ittakessixtechniciansatotalof10hrtobuildanewserverfromDirectComputer,witheachworkingatthesamerate.Ifsixtechniciansstarttobuildtheserverat11am,andonetechnicianperhourisaddedbeginningat5pm,atwhattimewilltheserverbecompleted?</p></li><li><p>Thecostofacertaindiamondvariesdirectlyasthesquareofitsweight.Once,thisdiamondbrokeintofourpieceswithweightsintheratio1:2:3:4.Whenthepiecesweresold,themerchantgotRs.70,000less.Findtheoriginalpriceofthediamond.</p></li><li><p>AandBworkat75</li><li><p>Whenthepriceofwheatincreasedby44</li><li><p>Ataskinitiallywastobecompletedin70daysbutafter42daystheremainingworkwasrequiredtobecompletedin7moredays.Bywhatpercentthetaskforceistobeincreased?</p></li><li><p>Outof200fishinanaquarium,99</li><li><p>AfruitvendorwenttomarkettobuyorangeswithRs1200.Thepriceoftheorangeshaddecreasedby25</li><li><p>Jatindecreasedhiscigaretteconsumptionby11.11</li><li><p>Asoftwareengineeragreestoworkoneyearforanemployerfor60. Mayank paid one-half of the sum of the amounts paid by the other boys. Mirza paid one-third of the sum of the amounts paid by the other boys. Little paid one-fourth of the sum of the amounts paid by the other boys. How much did Jaspal have to pay?</p></li><li><p>A dealer buys dry fruits at Rs.100, Rs.80 and Rs.60 per kilogram. He mixes them in the ratio 3:4:5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?</p></li><li><p>A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people to be solicited?</p></li><li><p>Anand and Bharat can cut 5 kg of wood in 20 minutes. Bharat and Chandra can cut 5 kg of wood in 40 minutes. Chandra and Anand can cut 5 kg of wood in 30 minutes. How much time will Chandra alone take to cut 5 kg of wood?</p></li><li><p>After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At what percentage above the cost price does he mark on his goods?</p></li><li><p>A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900 from if his income is Rs. 5,000, find x%.</p></li><li><p>It takes six technicians a total of 10 hr to build a new server from Direct Computer, with each working at the same rate. If six technicians start to build the server at 11 am, and one technician per hour is added beginning at 5 pm, at what time will the server be completed?</p></li><li><p>The cost of a certain diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.</p></li><li><p>A and B work at 75% and 50% of their efficiency and complete a work in 7 days. If they work at thrice and twice their efficiency respectively, in how many days will the work be completed?</p></li><li><p>When the price of wheat increased by 44%, a family reduced its consumption in such a way that the expenditure on wheat was only 20% more than before. If 60 kg of wheat was the previous consumption, find the decrease in consumption.</p></li><li><p>A task initially was to be completed in 70 days but after 42 days the remaining work was required to be completed in 7 more days. By what percent the task force is to be increased?</p></li><li><p>Out of 200 fish in an aquarium, 99% are red. How many red fishes must be removed in order to reduce the percentage of red fishes to 98%?</p></li><li><p>A fruit vendor went to market to buy oranges with Rs1200. The price of the oranges had decreased by 25% so he could buy 100 oranges more. What was the original price of an orange?</p></li><li><p>Jatin decreased his cigarette consumption by 11.11% but, in spite of this decrease, his expenditure on cigarette increased by 33.33%. Find the percentage change in the price of cigarette.</p></li><li><p>A software engineer agrees to work one year for an employer for 45,000 and a laptop. The engineer realizes after 7 months that he was underpaid and he quits. The employer gave him $20,000 and the laptop. How much was the laptop worth?

    6. In an election 60% of the voters were going to vote for Mulayam and the rest were going to vote for Mayawati. But before the elections, Congress pitched Rahul also and then 45% of Mulayam’s voters and 15% of Mayawati’s voters voted for Rahul. If all the voters voted, who won the election?

    Answer Key

    1. 20
    2. 165
    3. 3:4
    4. 2
    5. 13
    6. 115
    7. 300
    8. 240 minutes
    9. 28.56%
    10. 15
    11. 8 pm
    12. 1,00,000
    13. 1.75
    14. 10 kg
    15. 300%
    16. 100
    17. 4
    18. 50%
    19. 15,000
    20. Mayawati

  • Sir, unable to solve Q.19. PLz help.

  • Being MBAtious!

    For an year he was offered 45000 and laptop
    He left job after 7 months and got 20,000 and laptop.
    Had he continued working for 5 more months, he would have got 25000 extra. (45000 - 20000)
    So 5000 is the payment per month.
    For a whole year payment would be 12 x 5000 = 60000
    60000 = 45000 + laptop
    laptop = 15000.
    Happy Learning!

  • Sir, unable to solve Q. 16 plz help..

  • Being MBAtious!

    It is given that we have total 200 fishes out of which 99% are red fish. Means we have 198 red fish and 2 non red fish.

    After the change, 98% are red fish and remaining 2% are non red fish. As there was no change in the non red fish count, 2 non red fish we had now account for 2%.
    So, 2% = 2 fish
    100% = 100 fish.
    Red fish (98%) = 98
    Change in red fish = 198 - 98 = 100
    So 100 red fish removed in the process
    Happy Learning!

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