IIT JEE Practice Question and Answer

Q: Which city is located on the banks of the river Mula-Mutha? 3187 0

  • 1
    Pune
    Correct
    Wrong
  • 2
    Nagpur
    Correct
    Wrong
  • 3
    Ahmedabad
    Correct
    Wrong
  • 4
    Surat
    Correct
    Wrong
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Answer : 1. "Pune"
Explanation :

Answer: A) Pune Explanation: The Mula-Mutha is a river in India, formed by the confluence of the Mula and Mutha rivers in the city of Pune, which later meets the Bhima River, which itself later meets the Krishna River and finally emptying to the Bay of Bengal.

Q: The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ? 3185 0

  • 1
    2413 sq.m
    Correct
    Wrong
  • 2
    1234 sq.m
    Correct
    Wrong
  • 3
    4312 sq.m
    Correct
    Wrong
  • 4
    2143 sq.m
    Correct
    Wrong
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Answer : 3. "4312 sq.m"
Explanation :

Answer: C) 4312 sq.m Explanation: Let the radii of the smaller and the larger circles be 's' m and 'l' m respectively.    2πs = 264 and 2πl = 352      s = 2642π and l = 3522π    Difference between the areas =πl2-πs2      = π1762π2-1322π2    = 1762π-1322π     = (176 - 132)(176 + 132) / π     = (44 x 308) / (22/7) = 4312 sq.m

Q: Count the number of triangles and squares in the given figure. 3183 0

  • 1
    36 triangles, 7 Squares
    Correct
    Wrong
  • 2
    38 triangles, 9 Squares
    Correct
    Wrong
  • 3
    40 triangles, 7 Squares
    Correct
    Wrong
  • 4
    42 triangles, 9 Squares
    Correct
    Wrong
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Answer : 3. "40 triangles, 7 Squares"
Explanation :

Answer: C) 40 triangles, 7 Squares Explanation: The figure may be labelled as shown      Triangles :   The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number   The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.   The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.   Total number of triangles in the figure = 18 + 16 + 6 =40.   Squares :   The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number   The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number   Total number of squares in the figure = 3 + 4 =7

Q: An Excel Workbook is a collection of 3180 1

  • 1
    Charts
    Correct
    Wrong
  • 2
    Worksheets
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: An M.S Excel Workbook is a collection of both Worksheets and Charts.

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Answer : 4. "A"
Explanation :

Answer: D) A Explanation: For the input "A rolling stone gathers no moss", the steps followed are: Step 1: rolling A stone gathers no moss Step 2: rolling stone A gathers no moss Step 3: rolling stone gathers A no moss Step 4: rolling stone gathers no A moss   After 4 steps the fifth word is "A".

Q: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 3179 0

  • 1
    20% p.a
    Correct
    Wrong
  • 2
    15% p.a
    Correct
    Wrong
  • 3
    18% p.a
    Correct
    Wrong
  • 4
    24% p.a
    Correct
    Wrong
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Answer : 1. "20% p.a"
Explanation :

Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a

Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 3174 0

  • 1
    74
    Correct
    Wrong
  • 2
    79
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 1. "74"
Explanation :

Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

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Answer : 4. "9:1"
Explanation :

Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters   10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.   The ratio of milk and water in the new mixture = 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters.   Amount of water removed = 2 liters.   Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters.   Now 10 lts milk is added => total milk = 18 lts   The required ratio of milk and water in the final mixture obtained   = (8 + 10):2 = 18:2 = 9:1.

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