GATE Practice Question and Answer
8Q: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work ? 4190 05b5cc6e1e4d2b4197774ebbb
5b5cc6e1e4d2b4197774ebbb- 118 daysfalse
- 220 daystrue
- 316 daysfalse
- 414 daysfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "20 days"
Explanation :
Answer: B) 20 days Explanation: (5m + 9w)10 = (6m + 12w)8 => 50m + 90w = 48w + 96 w => 1m = 3w 5m + 9w = 5m + 3m = 8m 8 men can do the work in 10 days. 3m +3w = 3m + 1w = 4m So, 4 men can do the work in (10 x 8)/4 = 20 days.
Q: In how many years, Rs. 200 will produce the same interest @ 5 % as Rs. 900 produce in 2 years @ 3 ½ % ? 4183 05b5cc6dbe4d2b4197774e909
5b5cc6dbe4d2b4197774e909- 15.2 yrsfalse
- 27 yrsfalse
- 37.9 yrsfalse
- 46.3 yrstrue
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "6.3 yrs"
Explanation :
Answer: D) 6.3 yrs Explanation: P = Rs. 900, R = 3 ½ % = 7/2 %, T = 2 years. Therefore, S.I. = PTR/100 S.I. = Rs. (900 x 7/2 x 2/100) = Rs. 63 Now, P = Rs. 200, S.I. = Rs. 63, R = 5 % Time = ((100 x 63) / (200 x 5) ) years = 6.3 years.
Q: In a certain code language, 'how can you go' is written as 'ja da ka pa', 'can you come here' is written as 'na ka sa ja' and 'cone and go' is written as 'ra pa sa'. How is 'here' written in that code ? 4177 05b5cc75ee4d2b4197774fca7
5b5cc75ee4d2b4197774fca7- 1natrue
- 2jafalse
- 3safalse
- 4Nonefalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "na"
Explanation :
Answer: A) na Explanation: From the given information : how can you go = ja da ka pa....(1)can you come here = na ka sa ja...(2)come and go = ra pa sa....(3)from (1)&(2), can you = ja ka...(4)from (2)&(3), come = sa...(5)Using (4)&(5) in (2), we get here = na.
Q: In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ? 4167 05b5cc6d4e4d2b4197774e5cf
5b5cc6d4e4d2b4197774e5cf- 1Rs. 4680true
- 2Rs. 4420false
- 3Rs. 4960false
- 4Rs. 5480false
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "Rs. 4680"
Explanation :
Answer: A) Rs. 4680 Explanation: Let the expenditure on the 95 students be 'x' Then, 95x + 500 = 120(x – 5)95x + 500 = 120x - 600120x - 95x = 110025x = 1100=> x = 44 Therefore, total expenditure of the hostel becomes95 x 44 + 500 = 4680.
Q: Which of the Phrases(1), (2), (3) and (4) given below each sentence should replace the phrases printed in bold in the sentence to make it grammatically correct. The ban is applied by the district’s commercial taxes department after protests by a community, which had threat to burn theatres screening the controversial movie. 4154 05b5cc6c5e4d2b4197774dd5a
5b5cc6c5e4d2b4197774dd5a- 1had threated to burnfalse
- 2had threatened to burntrue
- 3had threatened to burningfalse
- 4had threats of burningfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "had threatened to burn"
Explanation :
Answer: B) had threatened to burn Explanation:
Q: "Good Samaritan Policy" has been launched by which state / union territory government? 4139 05b5cc771e4d2b4197774ffa3
5b5cc771e4d2b4197774ffa3- 1Delhitrue
- 2Karnatakafalse
- 3Telanganafalse
- 4Gujarathfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "Delhi"
Explanation :
Answer: A) Delhi Explanation: The Delhi government has recently approved 'Good Samaritan Policy' under which monetary incentive of Rs 2,000 and appreciation certificate will be given to people who help road accident victims in the national capital. The scheme is intended to encourage people to take accident victims in emergency situation to hospitals so that someone’s life could be saved.
Q: The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest) 4129 05b5cc6e7e4d2b4197774ed8d
5b5cc6e7e4d2b4197774ed8d- 119 yearsfalse
- 216 yearsfalse
- 318 yearsfalse
- 420 yearstrue
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "20 years"
Explanation :
Answer: D) 20 years Explanation: Present total age of the members = 26(5) = 130 years. Present age of the youngest member = 10 years Present total age of the remaining four members = 130 -10 = 120 years Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.
Q: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ? 4091 05b5cc6e5e4d2b4197774ed06
5b5cc6e5e4d2b4197774ed06- 110 sectrue
- 211 secfalse
- 312 secfalse
- 48 secfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 1. "10 sec"
Explanation :
Answer: A) 10 sec Explanation: Relative Speed = 60 -40 = 20 x 5/18 = 100/18 Time = 50 Distance = 50 x 100/18 = 2500/9 Relative Speed = 60 + 40 = 100 x 5/18 Time = 2500/9 x 18/500 = 10 sec.