GATE Practice Question and Answer

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 ? 3121 0

  • 1
    74
    Correct
    Wrong
  • 2
    79
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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.

Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3119 0

  • 1
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
    Correct
    Wrong
  • 2
    Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
    Correct
    Wrong
  • 3
    Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
    Correct
    Wrong
  • 4
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :

Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840

Q: 80% of 900 + 162 x 4 x ? = 113 - 99 3118 0

  • 1
    0.5
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "0.5"
Explanation :

Answer: A) 0.5 Explanation: 80x900/100 + 256 x 4 x ? = 1331 - 99 720 + 1024 x ? = 1232 ? = 1232 - 720/1024 ? = 512/1024 = 0.5 ? = 0.5

  • Show AnswerHide Answer
  • Workspace

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.

Q: An Excel Workbook is a collection of 3089 1

  • 1
    Charts
    Correct
    Wrong
  • 2
    Worksheets
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

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.

Q: Study of sound is called 3085 0

  • 1
    Agronomy
    Correct
    Wrong
  • 2
    Accoustics
    Correct
    Wrong
  • 3
    Aesthetics
    Correct
    Wrong
  • 4
    Aeronautics
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Accoustics"
Explanation :

Answer: B) Accoustics Explanation: Accoustics is a subject deals with the Study of sound   Aesthetics is a Philosophy of fine arts   The science or art of flight is called Aeronautics   The science of soil management is called Agronomy.

Q: The intersection of a column and a row 3077 0

  • 1
    Cell
    Correct
    Wrong
  • 2
    Menu
    Correct
    Wrong
  • 3
    Key
    Correct
    Wrong
  • 4
    Field
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Cell"
Explanation :

Answer: A) Cell Explanation: The intersection of a column and a row in a spread sheet is called as a cell or a bon.

Q: What is the probability of an impossible event? 3073 0

  • 1
    0
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    0.1
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "0"
Explanation :

Answer: A) 0 Explanation: The probability of an impossible event is 0. The event is known ahead of time to be not possible, therefore by definition in mathematics, the probability is defined to be 0 which means it can never happen.   The probability of a certain event is 1.

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully