GATE Practice Question and Answer
8Q: The product of a number and its multiplicative inverse is 3963 05b5cc64de4d2b4197774bc70
5b5cc64de4d2b4197774bc70- 11true
- 20false
- 3-1false
- 4Infinityfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "1"
Explanation :
Answer: A) 1 Explanation: The mutiplicative inverse of a number is nothing but a reciprocal of a number. Now, the product of a number and its multiplicative inverse is always equal to 1. For example : Let the number be 15 Multiplicative inverse of 15 = 1/15 The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.
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) 3949 05b5cc6e7e4d2b4197774ed8d
5b5cc6e7e4d2b4197774ed8d- 119 yearsfalse
- 216 yearsfalse
- 318 yearsfalse
- 420 yearstrue
- Show AnswerHide 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: 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 ? 3936 05b5cc6d4e4d2b4197774e5cf
5b5cc6d4e4d2b4197774e5cf- 1Rs. 4680true
- 2Rs. 4420false
- 3Rs. 4960false
- 4Rs. 5480false
- Show AnswerHide 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: "Good Samaritan Policy" has been launched by which state / union territory government? 3897 05b5cc771e4d2b4197774ffa3
5b5cc771e4d2b4197774ffa3- 1Delhitrue
- 2Karnatakafalse
- 3Telanganafalse
- 4Gujarathfalse
- Show AnswerHide 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: In an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. A student scores 420 marks from 150 question. How many answers were correct ? 3897 05b5cc74fe4d2b4197774fb4e
5b5cc74fe4d2b4197774fb4e- 1145false
- 2138false
- 3125false
- 4120true
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "120"
Explanation :
Answer: D) 120 Explanation: let x be the correct answer and y be the wrong answerso the total number of questions is (x + y) = 150.....(1)=> 4x - 2y = 420.....(2)By solving (1) & (2), we get => 6x = 720hence x = 120Therefore, number of correct answers are 120.
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 ? 3871 05b5cc6e5e4d2b4197774ed06
5b5cc6e5e4d2b4197774ed06- 110 sectrue
- 211 secfalse
- 312 secfalse
- 48 secfalse
- Show AnswerHide 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.
Q: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 3840 05b5cc6dfe4d2b4197774eab7
5b5cc6dfe4d2b4197774eab7- 13 km/hrfalse
- 24 km/hrtrue
- 35 km/hrfalse
- 46 km/hrfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "4 km/hr"
Explanation :
Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr. So, 24/x + 24/(7 - x) = 14 x2 - 98x + 168 = 0 (x - 3)(x - 4) = 0 => x = 3 or 4. Since, P is faster than Q, so P's speed = 4 km/hr and Q's speed = 3 km/hr.
Q: Central processing unit is combination of 3830 05b5cc61ee4d2b4197774b76f
5b5cc61ee4d2b4197774b76f- 1Arithmetic and Control unittrue
- 2Control and Output unitfalse
- 3Control and Storage unitfalse
- 4Arithmetic logic and input unitfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Arithmetic and Control unit"
Explanation :
Answer: A) Arithmetic and Control unit Explanation: