GATE Practice Question and Answer
8Q: 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 05b5cc774e4d2b4197775002f
5b5cc774e4d2b4197775002f- 15.5 daysfalse
- 26 daystrue
- 34.2 daysfalse
- 45 daysfalse
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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 05b5cc774e4d2b4197775002a
5b5cc774e4d2b4197775002a- 14:5false
- 23:4false
- 34:3true
- 42:3false
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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 05b5cc774e4d2b41977750025
5b5cc774e4d2b41977750025- 110 daystrue
- 215 daysfalse
- 320 daysfalse
- 45 daysfalse
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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 05b5cc774e4d2b41977750016
5b5cc774e4d2b41977750016- 113true
- 2821false
- 3621false
- 42021false
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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 ? 1530 05b5cc774e4d2b41977750011
5b5cc774e4d2b41977750011- 1205false
- 2194false
- 3209true
- 4159false
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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 ? 1193 05b5cc774e4d2b4197775000c
5b5cc774e4d2b4197775000c- 115false
- 220true
- 35false
- 410false
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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.
Q: A word arrangement machine, When given an input line of words, rearranges it in every step following a certain rule. Following is an illustration of an input line of words and various steps of rearrangement. Input: gone are take enough brought stationStep 1: take gone are enough brought stationStep 2: take are gone enough brought stationStep 3: take are station gone enough broughtStep 4: take are station brought gone enoughAnd Step 4 is the last step for this input. Now, find out an appropriate step in the following question following the above rule. Question:Input: car on star quick demand fatWhat will be the third step for this input ? 5902 05b5cc774e4d2b41977750002
5b5cc774e4d2b41977750002- 1star car demand quick on fatfalse
- 2star quick car demand on fatfalse
- 3star car quick demand on fattrue
- 4none of thesefalse
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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
Q: An electronic device rearranges numbers step-by-step in a particular order according to set of rules. The device stops when the final result is obtained. Input: 84 15 35 04 18 96 62 08Step 1: 96 84 15 35 04 18 62 08Step 2: 96 84 62 15 35 04 18 08Step 3: 96 84 62 35 15 04 18 08Step 4: 96 84 62 35 18 15 04 08Step 5: 96 84 62 35 18 15 08 04And Step 5 is the last step for this input. Now, find out an appropriate step in the following question following the above rule. Question:Input: 16 09 24 28 15 04What will be the third step for this input ? 1655 05b5cc771e4d2b4197774fffd
5b5cc771e4d2b4197774fffd- 128 24 15 16 04 09false
- 228 24 16 15 09 04true
- 324 28 15 16 09 04false
- 428 24 16 15 04 09false
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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