GATE Practice Question and Answer
8Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1225 05b5cc6e2e4d2b4197774ec2f
5b5cc6e2e4d2b4197774ec2f- 158 secfalse
- 262 secfalse
- 360 secfalse
- 450 sectrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "50 sec"
Explanation :
Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.
Q: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is ? 813 05b5cc6e2e4d2b4197774ec25
5b5cc6e2e4d2b4197774ec25- 13 yearsfalse
- 24 yearstrue
- 32.5 yearsfalse
- 42 yearsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "4 years"
Explanation :
Answer: B) 4 years Explanation: P1+20100n > 2P Now, (6/5 x 6/5 x 6/5 x 6/5) > 2. So, n = 4 years.
Q: A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ? 1361 05b5cc6e2e4d2b4197774ec20
5b5cc6e2e4d2b4197774ec20- 10.85 %false
- 20.95 %true
- 31.0 %false
- 41.3 %false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "0.95 %"
Explanation :
Answer: B) 0.95 % Explanation: SP of first article = 1000Profit = 30%CP = (SP)x[100/(100+P)] = 10000/13 SP of second article = 1000Loss = 20%CP = (SP)x[100/(100-L)] = 5000/4 = 1250 Total SP = 2000 Total CP = 10000/13 + 1250 = 2019.23 CP is more than SP, he makes a loss. Loss = CP-SP = 2019.23 - 2000 = 19.23Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.
Q: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1244 05b5cc6e2e4d2b4197774ec1b
5b5cc6e2e4d2b4197774ec1b- 14 : 5true
- 25 : 4false
- 37 : 6false
- 46 : 7false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "4 : 5"
Explanation :
Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5
Q: At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ? 1077 05b5cc6e1e4d2b4197774ebfc
5b5cc6e1e4d2b4197774ebfc- 115 yearstrue
- 216 yearsfalse
- 318 yearsfalse
- 421 yearsfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "15 years"
Explanation :
Answer: A) 15 years Explanation: Let the present ages of Arun and Harish be 4x and 3x years respectively. Then, 4x + 6 = 26 => x = 5 Harish's age = 3x = 15 years.
Q: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? 1604 05b5cc6e1e4d2b4197774ebf7
5b5cc6e1e4d2b4197774ebf7- 1Rs. 1100false
- 2Rs. 1200true
- 3Rs. 1000false
- 4Rs. 1840false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Rs. 1200"
Explanation :
Answer: B) Rs. 1200 Explanation: P --- 10 ----- 600 P --- 5 ----- 300 3P --- 5 ----- 900 __________ 1200
Q: A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 15%, he is only able to save Rs. 400 per month. What is his monthly salary ? 2070 05b5cc6e1e4d2b4197774ebf2
5b5cc6e1e4d2b4197774ebf2- 1Rs. 6000false
- 2Rs. 4500false
- 3Rs. 5000true
- 4Rs. 6500false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "Rs. 5000"
Explanation :
Answer: C) Rs. 5000 Explanation: Income = Rs. 100 Expenditure = Rs. 80 Savings = Rs. 20 Present Expenditure 80x(15/100) = Rs. 12 = 80 + 12 = Rs. 92 Present Savings = 100 – 92 = Rs. 8 100 ------ 8? --------- 400 => 5000 His salary = Rs. 5000
Q: K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B ? 1220 05b5cc6e1e4d2b4197774ebe8
5b5cc6e1e4d2b4197774ebe8- 1Rs. 9040false
- 2Rs. 10,400false
- 3Rs. 12,800true
- 4Rs. 6350false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "Rs. 12,800"
Explanation :
Answer: C) Rs. 12,800 Explanation: 16x8 : Px4 = 5:2 P = 12.8 => Rs.12,800