GATE Practice Question and Answer

Q: At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ? 2614 0

  • 1
    5%
    Correct
    Wrong
  • 2
    6%
    Correct
    Wrong
  • 3
    4%
    Correct
    Wrong
  • 4
    3%
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 1. "5%"
Explanation :

Answer: A) 5% Explanation: Given compound interest for 3 years = Rs. 1513.2   and simple interest for 5 years = Rs. 2400   Now, we know that  C.I = P1+R100n - 1   => 1513.2 = P1+R1003 - 1 ...........(A)   And S.I = PTR/100   => 2400 = P5R/100 ..................(B)   By solving (A) & (B), we get   R = 5%.

Q: 5 men and 3 boys can together cultivate a 23 acre field in 4 days and 3 men and 2 boys together can cultivate a 7 acre field in 2 days. How many boys will be needed together with 7 men, if they cultivate 45 acre of field in 6 days. 2609 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 3. "2"
Explanation :

Answer: C) 2 Explanation: Let work done by 1 man in i day be m and Let work done by 1 boy in 1 day be b From the given data, 4(5m + 3b) = 23 20m + 12b = 23....(1) 2(3m + 2b) = 7 6m + 4b = 7 ....(2) By solving (1) & (2), we get m = 1, b = 1/4 Let the number of required boys = n 6(7 1 + n x 1/4) = 45 => n = 2.

  • Show Answer
  • Workspace

Answer : 1. "Only a follows"
Explanation :

Answer: A) Only a follows Explanation: The statement mentions that chances of heart ailments are greatly reduced by a regular half-hour exercise. So, a follows. However, it talks of only reducing the probability which does not mean that persons involved in sedentary jobs shall definitely suffer from heart ailments. So, b does not follow. Hence, concusion a only follows the given statement.

Q: Where is RAM located? 2607 0

  • 1
    Mother Board
    Correct
    Wrong
  • 2
    Expansion Board
    Correct
    Wrong
  • 3
    External Drive
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 1. "Mother Board"
Explanation :

Answer: A) Mother Board Explanation: RAM is located in The central processing unit (CPU), also called a processor, is located inside the computer case on the motherboard. It is sometimes called the brain of the computer, and its job is to carry out commands.

Q: 5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ? 2602 0

  • 1
    4400
    Correct
    Wrong
  • 2
    3100
    Correct
    Wrong
  • 3
    2800
    Correct
    Wrong
  • 4
    5600
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 1. "4400"
Explanation :

Answer: A) 4400 Explanation: Let 'P' be the original population at the beginning P x (95/100) x (85/100) = 3553 P = 4400.

Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ? 2598 0

  • 1
    5 (2/3)
    Correct
    Wrong
  • 2
    6 (3/4 )
    Correct
    Wrong
  • 3
    4 (1/2)
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 3. "4 (1/2)"
Explanation :

Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.    Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9    They would take 9/2 days = 4 (1/2) days to complete the work working together.

Q: A computer consists of 2590 0

  • 1
    motherboard
    Correct
    Wrong
  • 2
    hard disk drive
    Correct
    Wrong
  • 3
    central processing unit
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: A computer system consists of a computer case, a power supply unit, a motherboard, a central processing unit (CPU), main memory, and a hard disk drive. Input devices include a keyboard, mouse, microphone, video camera, and image scanner. Output devices include a monitor, speakers, and a printer.

Q: The calendar for the year 2018 will be the same for the year 2590 0

  • 1
    2023
    Correct
    Wrong
  • 2
    2027
    Correct
    Wrong
  • 3
    2029
    Correct
    Wrong
  • 4
    2022
    Correct
    Wrong
  • Show Answer
  • Workspace

Answer : 3. "2029"
Explanation :

Answer: C) 2029 Explanation: How to find the years which have the same Calendars :   Leap year calendar repeats every 28 years. Here 28 is distributed as 6 + 11 + 11.   Rules: a) If given year is at 1st position after Leap year then next repeated calendar year is Givenyear+6. b) If given year is at 2nd position after Leap year then next repeated calendar year is Givenyear+11. c) If given year is at 3rd position after Leap year then next repeated calendar year is Givenyear+11.   Now, the given year is 2018 We know that 2016 is a Leap year. 2016    2017    2018    2019  2020 Lp Y      1st     2nd      3rd     Lp Y   Here 2018 is at 2 nd position after the Leap year. According to rule b) the calendar of 2018 is repeated for the year is 2018 + 11 = 2029.

  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