GATE Practice Question and Answer
8Q: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2935 05b5cc745e4d2b4197774fa0e
5b5cc745e4d2b4197774fa0e- 139 daysfalse
- 237 daysfalse
- 335 daystrue
- 433 daysfalse
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Answer : 3. "35 days"
Explanation :
Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.
Q: An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ? 2935 05b5cc71ee4d2b4197774f59a
5b5cc71ee4d2b4197774f59a- 111 daystrue
- 215 daysfalse
- 313 daysfalse
- 416 daysfalse
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Answer : 1. "11 days"
Explanation :
Answer: A) 11 days Explanation: Let 'n' number of days it take to complete. we know that sum of n number= n/2[2a+(n-1)d]where a=20,d=1;n/2[2x20+(n-1)1]=275n[n+39]=550n2 + 39n - 550 = 0 n2+ 50n - 11n - 550 = 0(n-11) (n-50) = 0n-11 = 0;n = 11(Days).
Q: Tilak rides on a cycle to a place at speed of 22 kmph and comes back at a speed of 20 kmph. If the time taken by him in the second case is 36 min. more than that of the first case, what is the total distance travelled by him (in km)? 2934 05b5cc6a0e4d2b4197774ca6c
5b5cc6a0e4d2b4197774ca6c- 1132 kmfalse
- 2264 kmtrue
- 3134 kmfalse
- 4236 kmfalse
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Answer : 2. "264 km"
Explanation :
Answer: B) 264 km Explanation: Let the distance travelled by Tilak in first case or second case = d kms Now, from the given data, d/20 = d/22 + 36 min => d/20 = d/22 + 3/5 hrs => d = 132 km. Hence, the total distance travelled by him = d + d = 132 + 132 = 264 kms.
Q: Planet : Orbit :: Projectile : ? 2933 05b5cc66de4d2b4197774bf9b
5b5cc66de4d2b4197774bf9b- 1Pathfalse
- 2Milky wayfalse
- 3Trackfalse
- 4Trajectorytrue
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Answer : 4. "Trajectory"
Explanation :
Answer: D) Trajectory Explanation: The path traced by planet is called Orbit. Similarly, the path traced by projectile is called Trajectory. Hence, Planet : Orbit : : Projectile : Trajectory.
Q: The clipboard 2932 15b5cc672e4d2b4197774c0aa
5b5cc672e4d2b4197774c0aa- 1is a Cache memoryfalse
- 2is a feature that stores user informationfalse
- 3is used to temporarily store, items that has been cut or copiedtrue
- 4is a feature that saves file temporarilyfalse
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Answer : 3. "is used to temporarily store, items that has been cut or copied"
Explanation :
Answer: C) is used to temporarily store, items that has been cut or copied Explanation: A clipboard is a temporary storage area for items that the user wants to cut or copy from one place to another. For example, in a word processor application, the user might want to cut text from one part of a document and paste it in another part of the document or somewhere else, it is temporarily stored in clipboard.
Q: 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ? 2925 05b5cc720e4d2b4197774f5f4
5b5cc720e4d2b4197774f5f4- 112 yrsfalse
- 214 yrsfalse
- 316 yrstrue
- 418 yrsfalse
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Answer : 3. "16 yrs"
Explanation :
Answer: C) 16 yrs Explanation: 12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.Diff in ages = 8 years.when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.
Q: Find the odd one out? 6, 3, 3, 4.5, 10 2925 05b5cc698e4d2b4197774c670
5b5cc698e4d2b4197774c670- 13false
- 24.5false
- 36false
- 410true
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Answer : 4. "10"
Explanation :
Answer: D) 10 Explanation: Here the given number series is 6, 3, 3, 4.5, 10 The odd one in the given series is 10 The pattern it follows is 6 6 x 0.5 = 3 3 x 1 = 3 3 x 1.5 = 4.5 4.5 x 2 = 9 Hence, the odd number is 10.
Q: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2924 05b5cc6bfe4d2b4197774da0a
5b5cc6bfe4d2b4197774da0a- 11/3false
- 22/3false
- 31/6true
- 45/6false
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Answer : 3. "1/6"
Explanation :
Answer: C) 1/6 Explanation: Given X can do in 10 days => 1 day work of X = 1/10 Y can do in 15 days => 1 day work of Y = 1/15 1day work of (X + Y) = 1/10 + 1/15 = 1/6 Given they are hired for 5 days => 5 days work of (X + Y) = 5 x 1/6 = 5/6 Therefore, Unfinished work = 1 - 5/6 = 1/6

