GATE Practice Question and Answer

Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2458 1

  • 1
    2880
    Correct
    Wrong
  • 2
    1440
    Correct
    Wrong
  • 3
    720
    Correct
    Wrong
  • 4
    2020
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "2880"
Explanation :

Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd.   4 women can be arranged at 4 even places in 4! ways.   and 5 men can be placed in remaining 5 places in 5! ways.   Hence, the required number of permutations  = 4! x 5! = 24 x 120 = 2880

Q: A can do a piece of work in 21 days and B in 28 days. Together they started the work and B left after 4 days. In how many days can A alone do the remaining work ? 2457 0

  • 1
    14 days
    Correct
    Wrong
  • 2
    18 days
    Correct
    Wrong
  • 3
    21 deays
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "14 days"
Explanation :

Answer: A) 14 days Explanation: Let A worked for x days. x/21 + 4/28 = 1  => x = 18   A worked for 18 days. So, A can complete the remaining work in 18 - 4 = 14 days.

Q: Tides are primarily a result of the  ____ ? 2454 0

  • 1
    Attraction of the Moon
    Correct
    Wrong
  • 2
    Farrel's law
    Correct
    Wrong
  • 3
    Ocean Currents
    Correct
    Wrong
  • 4
    Earth's pressure system
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Attraction of the Moon"
Explanation :

Answer: A) Attraction of the Moon Explanation:

Q: A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece? 2449 0

  • 1
    28 cm
    Correct
    Wrong
  • 2
    3.5 cm
    Correct
    Wrong
  • 3
    7 cm
    Correct
    Wrong
  • 4
    14 cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "14 cm"
Explanation :

Answer: D) 14 cm Explanation: Circular piece is 4 x 11 = 44 cm long, Then Circumference of circle is given by, 44 = pi x D, where D is the diameter D = 44 / pi Take pi = 22 / 7, then D = 44 / (22/7) = (44 x 7) / 22 D = 14 cm.

Q: Select a suitable figure from the four alternatives that would complete the figure matrix. 2446 0

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

Answer : 1. "2"
Explanation :

Answer: A) 2 Explanation: In each row, the second figure is obtained from the first figure by adding two mutually perpendicular line segments at the centre and the third figure is obtained from the first figure by adding four circles outside the main figure.

Q: What is the common ratio of the following geometric sequence? 4, 2, 1, 0.5, 0.25, 0.125,... 2446 0

  • 1
    0.5
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    1.5
    Correct
    Wrong
  • 4
    -0.5
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "0.5"
Explanation :

Answer: A) 0.5 Explanation: In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.   Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,... Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

Q: Which of the following is the lightest metal? 2444 0

  • 1
    Lithium
    Correct
    Wrong
  • 2
    Silver
    Correct
    Wrong
  • 3
    Mercury
    Correct
    Wrong
  • 4
    Lead
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Lithium"
Explanation :

Answer: A) Lithium Explanation: Lithium is the lightest metal and the lightest solid element. It is a soft, silvery-white alkali metal. Under standard conditions. Like all alkali metals, lithium is highly reactive and flammable and is stored in mineral oil.

Q: A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ? 2443 0

  • 1
    300
    Correct
    Wrong
  • 2
    150
    Correct
    Wrong
  • 3
    175
    Correct
    Wrong
  • 4
    200
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "150"
Explanation :

Answer: B) 150 Explanation: Half of the cloth = 37.5/2 From 1 meter he will make 8 pieces=> in 37.5/2 ---- ? 37.5/2 x 8 = 150.

      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