TCS Aptitude - 24 October 2020 - Slot 2

Questions 31: A sum of Rs. 12500 is invested on 1st january, 2016 at 4% simple intrest per annum. How much intrest (in Rs.) gets accrued on the end of the day on 1st july, 2016 ?

  • Options
  • a : 500
  • b : 250
  • c : 400
  • d : 240
  • Answer: ) NA

    Questions 32: In the competitive exam, 5 marks are awarded for every correct answer and for every wrong answer, 2 marks are deducted. Sathwik scored 32 marks in this examination. If 4 marks had been awarded for each correct answer and 1 marks has been deducted for each incorrect answer, Sathwik would have scored 34 marks. If Sathwik attempted all the questions. How many questions were there in the test ?

  • Options
  • a : 26
  • b : 14
  • c : 20
  • d : 12
  • Answer: a) 26

    Explanation:
    5x - 2y = 32
    (4x - y = 34) * 2
    Now, on solving these two equations:
    8x - 2y = 68
    5x - 2y = 32
    We get,
    x = 12
    putting this value in eq(1) , we get
    y = 14
    Total question = 14 + 12 = 26

    Questions 33: If the HCF of 180 and 432 is expressed as (180m + 432n) where m and n are integers, then what is the difference between m and n ?

  • Options
  • a : 7
  • b : 9
  • c : 3
  • d : 8
  • Answer: a) 7

    Explanation:
    If the difference is 7,
    m = 5 n = -2
    -> 180 * 5 + 432 * (-2)
    =900 - 864
    = 36

    Questions 34: The List price of an item was kept 40% above what the shopkeeper had paid to the manufacturer. On selling the item a profit of 8.64% was earned after allowing two successive discounts, the first one which was 20%. What was the percentage rate of the second discount ?

  • Options
  • a : 3.25
  • b : 3
  • c : 3.6
  • d : 3.84
  • Answer: ) NA

    Questions 35: The present ages of three brother are in the proportion 12:14:17. The difference between the ages of the older and oldest is 6 years. What will be the proportion of their ages after four years ?

  • Options
  • a : 16:18:21
  • b : 13:15:18
  • c : 14:16:19
  • d : 40:46:55
  • Answer: c) 14: 16: 19

    Explanation:
    12/43 * A = X - eq(1)
    14/43 * A = Y - eq(2)
    17/43 * A = Z - eq(3)
    using equation 3 and 2,
    17A/43 - 14A/43 = 6
    A = 86
    and X = 24 : 28 : 34
    = 28 : 32 : 38
    = 14 : 16 : 19

    Questions 36: What is the real value of(0.000314 + 0.000198)^1/3 ?

  • Options
  • a : 0.8
  • b : 0.4
  • c : 0.04
  • d : 0.08
  • Answer: d) 0.08

    Explanation:
    ( 0.000512)^1/3
    = ( 0.08 * 0.08 * 0.08 )^1/3
    = 0.08

    Questions 37: A man who has to walk 11km, finds that in 30 minutes he has travelled two-ninth of the remaining distance. What is the speed in km/h ?

  • Options
  • a : 4
  • b : 4.8
  • c : 4.2
  • d : 4.5
  • Answer: )

    Questions 38: Two ants of length 1 cm and 1.2 cm crawl in opposite direction with average speeds 2 and 3 mm per second respectively. How many seconds will they take to cross each other ?

  • Options
  • a : 1.5
  • b : 0.4
  • c : 2.8
  • d : 4.4
  • Answer: d) 4.4

    Explanation:
    = 22 / 7
    = 4.4

    Questions 39: In what ratio should two varieties of tea priced at Rs. 280 per kg respectively be mixed so that the cost of the combination is Rs. 254 per kg ?

  • Options
  • a : 3:2
  • b : 7:6
  • c : 4:3
  • d : 13:12
  • Answer: )

    Questions 40: A retailer purchased 25 identical toys for a price Rs. P and sold some of them for Rs. P. If his calculated his profit as 8%, with selling price as base intead of cost price then how many toys did he sell ?

  • Options
  • a : 24
  • b : 23
  • c : 20
  • d : 21
  • Answer: b) 23


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