GATE Practice Question and Answer
8Q: Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years? 1642 05b5cc698e4d2b4197774c618
5b5cc698e4d2b4197774c618- 1Rs. 364false
- 2Rs. 432true
- 3Rs. 498false
- 4Rs. 554false
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Answer : 2. "Rs. 432"
Explanation :
Answer: B) Rs. 432 Explanation: Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya Principal amount and Time is same but the only difference is Rate of interest. Rajeev took @ 8% and gave it to Chanukya @ 6% Here the difference in interest rate = 2% 2% of 5400 should be the extra amount paid by Rajeev to Avinash Required amount = 2 x 5400 x 4100 = 432 Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.
Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1641 05b5cc6dae4d2b4197774e8a5
5b5cc6dae4d2b4197774e8a5- 145 kmphfalse
- 225 kmphfalse
- 330 kmphfalse
- 450 kmphtrue
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Answer : 4. "50 kmph"
Explanation :
Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.
Q: What time will it be in 45 minutes? Now, if the time is 4:48 pm. 1640 05b5cc669e4d2b4197774bf81
5b5cc669e4d2b4197774bf81- Show AnswerHide Answer
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Answer :
Explanation :
As now, the time 4 : 48 pm after 45 min it will be 4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm. Hence, it is 5:33 pm.
Q: In how many different ways can the letters of the word 'POVERTY' be arranged ? 1639 05b5cc6b4e4d2b4197774d4bb
5b5cc6b4e4d2b4197774d4bb- 12520false
- 25040true
- 31260false
- 4Nonefalse
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Answer : 2. "5040"
Explanation :
Answer: B) 5040 Explanation: The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.
Q: Light travels slowest in 1637 05b5cc69de4d2b4197774c924
5b5cc69de4d2b4197774c924- 1Glasstrue
- 2Waterfalse
- 3Airfalse
- 4Vacuumfalse
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Answer : 1. "Glass"
Explanation :
Answer: A) Glass Explanation: Because the refractive index of glass is highest, light travels slowly in Glass. We know that the speed of light depends on the refraction index. The higher the index of refraction is, the slower the speed of light is. R.I of air and vacuum = 0 (air is a teeny bit more but can be taken as 0) R.I of water = 1.33 R.I of glass = 1.4. Hence, Light travels slowest in Glass.
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 ? 1637 05b5cc6e2e4d2b4197774ec1b
5b5cc6e2e4d2b4197774ec1b- 14 : 5true
- 25 : 4false
- 37 : 6false
- 46 : 7false
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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: Antonym of:: Amicable 1636 05b5cc6a6e4d2b4197774cdb1
5b5cc6a6e4d2b4197774cdb1- 1Hostiletrue
- 2Loveablefalse
- 3Friendlyfalse
- 4Peacefulfalse
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Answer : 1. "Hostile"
Explanation :
Answer: A) Hostile Explanation: Amicable means Friendly or in Loveable, peaceful sense. Then Antonyms for Amicable are Opposite of Friendly => Unfriendly, Hostile, Unpeaceful, etc...
Q: 3 x 3 + 3 - 3 + 3 = ? 1635 05b5cc65ee4d2b4197774be59
5b5cc65ee4d2b4197774be59- 19false
- 212true
- 3-3false
- 43false
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Answer : 2. "12"
Explanation :
Answer: B) 12 Explanation: Using BODMAS law, 3 x 3 + 3 - 3 + 3 = 3 x 3 = 12 = 12 + 3 - 3 + 3 = 9 + 3 = 12 Hence, 3 x 3 + 3 - 3 + 3 = 12.

