GATE Practice Question and Answer

Q: K can finish the work in 18 days and L can do the same work in 15 days. L worked for 10 days and left the job. In how many days, K alone can finish the remaining work ? 1302 0

  • 1
    5.5 days
    Correct
    Wrong
  • 2
    6 days
    Correct
    Wrong
  • 3
    4.2 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 2. "6 days"
Explanation :

Answer: B) 6 days Explanation: L's 10 days work = 115×10=23   Remaining work = 1-23=13   Now,  work is done by K in one day = 1/18   1/3 work is done by K in  18×13 = 6 days

Q: Twenty men can do a work in eighteen days. Eighteen women can complete the same work in fifteen days. What is the ratio between the capacity of a woman and a man ? 1665 0

  • 1
    4:5
    Correct
    Wrong
  • 2
    3:4
    Correct
    Wrong
  • 3
    4:3
    Correct
    Wrong
  • 4
    2:3
    Correct
    Wrong
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Answer : 3. "4:3"
Explanation :

Answer: C) 4:3 Explanation: (20 x 18) men can complete the work in in one day. one man's one day work = 1/360 (18 x 15) women can complete the work in 1 day 1 woman's one day work = 1/270 So, required ratio = 1270:1360= 4:3

Q: In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food? 2053 0

  • 1
    10 days
    Correct
    Wrong
  • 2
    15 days
    Correct
    Wrong
  • 3
    20 days
    Correct
    Wrong
  • 4
    5 days
    Correct
    Wrong
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Answer : 1. "10 days"
Explanation :

Answer: A) 10 days Explanation: After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days -->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved).

Q: In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ? 1218 0

  • 1
    13
    Correct
    Wrong
  • 2
    821
    Correct
    Wrong
  • 3
    621
    Correct
    Wrong
  • 4
    2021
    Correct
    Wrong
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Answer : 1. "13"
Explanation :

Answer: A) Option A Explanation: Total number of flowers = (8+7+6) = 21.   Let E = event that the flower drawn is neither red nor green.  = event taht the flower drawn is blue.    --> n(E)= 7  --> P(E)=  721=13

Q: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ? 1531 0

  • 1
    205
    Correct
    Wrong
  • 2
    194
    Correct
    Wrong
  • 3
    209
    Correct
    Wrong
  • 4
    159
    Correct
    Wrong
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Answer : 3. "209"
Explanation :

Answer: C) 209 Explanation: We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys). Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)   = (24+90+80+15)  = 209.

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ? 1194 0

  • 1
    15
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "20"
Explanation :

Answer: B) 20 Explanation: Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5.   So, there is one way of doing it.   Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place.   The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it.   Required number of numbers = (1 x 5 x 4) = 20.

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Answer : 3. "star car quick demand on fat"
Explanation :

Answer: C) star car quick demand on fat Explanation: Obsrving the given arrangement, we find the following pattern:If we arrange the words in the given input in the alphabetical order and then label them as 1,2,3,4,5,6, then the last step contains the words in the order 6,1,5,2,4,3. However, the position of only one word is alteredat each step.Input:car on star quick demand fatStep1: star car on quick demand fatStep2: star car quick on demand fatStep3: star car quick demand on fat Hence, the answer is C

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Answer : 2. "28 24 16 15 09 04"
Explanation :

Answer: B) 28 24 16 15 09 04 Explanation: Carefully obsrving the given arrangement, we find the following pattern:We observe that the given numbers are arranged in descending order (from left to right), altering the position of only one number in each step, followed by the other numbers as it is. The process continues till the whole set of numbers is arranged in the descending order. Step1: 28 16 09 24 15 04Step2: 28 24 16 09 15 04Step3: 28 24 16 15 09 04 Hence, the answer is B

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