GATE Practice Question and Answer
8Q: Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case ? 1018 05b5cc6dae4d2b4197774e8cd
5b5cc6dae4d2b4197774e8cd- 11020false
- 21040false
- 31060false
- 41022true
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "1022"
Explanation :
Answer: D) 1022 Explanation: Lowest 4-digit number is 1000.LCM of 3, 4 and 5 is 60.Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 - 40) = 1020.Now, add the remainder 2 that's required. Thus, the answer is 1022.
Q: According to a report by New World Wealth, which is the richest city in the world 2018? 1016 05b5cc6a2e4d2b4197774cb3d
5b5cc6a2e4d2b4197774cb3d- 1Tokyofalse
- 2New Yorktrue
- 3Londonfalse
- 4Parisfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "New York"
Explanation :
Answer: B) New York Explanation: New York City, London, and Tokyo are the richest cities in the world 2018, according to their ranks.
Q: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1015 05b5cc6c5e4d2b4197774dde6
5b5cc6c5e4d2b4197774dde6- 142false
- 244true
- 353false
- 456false
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "44"
Explanation :
Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44
Q: Find the Missing Numbers in the given Number Puzzle ? 1015 05b5cc6c9e4d2b4197774df74
5b5cc6c9e4d2b4197774df74- 1169 & 81true
- 267 & 121false
- 364 & 115false
- 470 & 110false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "169 & 81"
Explanation :
Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements. In the same way, square of sum of digits in the second row = Respective third row elements. => 6+42=102=100 => 4+92=132=169 => 8+12=92=81.
Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work ? 1015 05b5cc6dde4d2b4197774ea05
5b5cc6dde4d2b4197774ea05- 18.7 hrsfalse
- 25.2 hrsfalse
- 35 hrsfalse
- 47.5 hrstrue
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "7.5 hrs"
Explanation :
Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs
Q: A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by 1014 05b5cc6c8e4d2b4197774df00
5b5cc6c8e4d2b4197774df00- 154 kmsfalse
- 232 kmsfalse
- 345 kmsfalse
- 460 kmstrue
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "60 kms"
Explanation :
Answer: D) 60 kms Explanation: Let the distance be d. d8-2-d8+2 = 4 => 2d = 120 => d = 60 kms.
Q: Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? 1014 05b5cc764e4d2b4197774fd85
5b5cc764e4d2b4197774fd85- 11:7true
- 27:1false
- 32:3false
- 43:2false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "1:7"
Explanation :
Answer: A) 1:7 Explanation: Let the speed of the trains be x and y respectively length of train1 = 47xlength of train2 = 31yRelative speed= x + yTime taken to cross each other = 33 s=> 47x+31yx+y= 33=> (47x + 31 y) = 33(x + y)=> 14x = 2y=> x/y = 2/14 = 1/7 = 1:7
Q: 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it ? 1013 05b5cc6dfe4d2b4197774eb02
5b5cc6dfe4d2b4197774eb02- 140 daystrue
- 236 daysfalse
- 332 daysfalse
- 434 daysfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "40 days"
Explanation :
Answer: A) 40 days Explanation: Let 1 man's 1 day work = x and 1 woman's 1 day work = y.Then, 4x + 6y = 1/8 and 3x + 7y = 1/10Solving these two equations, we get:x = 11/400 and y = 1/40010 woman's 1 day work = (1/400 x 10) = 1/40. Hence, 10 women will complete the work in 40 days.