GATE Practice Question and Answer
8Q: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ? 1426 05b5cc6ebe4d2b4197774ee64
5b5cc6ebe4d2b4197774ee64- 11false
- 21/2true
- 30false
- 43/5false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: The number of exhaustive outcomes is 36.Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2P(E) = 1 - 1/2 = 1/2.
Q: India’s first multi-modal electric vehicle project has launched in which city ? 1425 05b5cc6dbe4d2b4197774e941
5b5cc6dbe4d2b4197774e941- 1Jaipurfalse
- 2Nagpurtrue
- 3Shimlafalse
- 4New Delhifalse
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Answer : 2. "Nagpur"
Explanation :
Answer: B) Nagpur Explanation: India’s first multi-modal electric vehicle project has been inaugurated by the Union Road Transport and Highways Minister Nitin Gadkari, along with Maharashtra Chief Minister Devendra Fadnavis at the Nagpur Airport Complex to promote eco-friendly transport. With this, Nagpur became the first city in India to have electric mass mobility system with a fleet of 200 electric vehicles, including taxis, buses, e-rickshaw and autos.
Q: Praveena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ? 1425 05b5cc6e7e4d2b4197774edab
5b5cc6e7e4d2b4197774edab- 16true
- 27false
- 39false
- 411false
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Answer : 1. "6"
Explanation :
Answer: A) 6 Explanation: Let rate = R% and time = R years. Then, (1200 x R x R) / 100 = 432 => R = 6.
Q: Find which of the two conclusions I and II given below is/are definitely true from the the given statements. Statements: I > W > T > N, I = F = G = C Conclusions: I. W > I II. C > N 1424 05b5cc6bde4d2b4197774d933
5b5cc6bde4d2b4197774d933- 1Only Conclusion I is truefalse
- 2Only Conclusion II is truetrue
- 3Both conclusions I & II are truefalse
- 4Neither conclusion I nor II is truefalse
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Answer : 2. "Only Conclusion II is true"
Explanation :
Answer: B) Only Conclusion II is true Explanation: From the given Statements : 1. I > W > T > N 2. F = G = C Conclusions are : I. W > I (False) II. C > N (True)
Q: Everyone has it and no one can lose it. What is it? 1424 05b5cc69fe4d2b4197774ca1e
5b5cc69fe4d2b4197774ca1e- 1Facefalse
- 2Teethfalse
- 3Hairfalse
- 4Shadowtrue
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Answer : 4. "Shadow"
Explanation :
Answer: D) Shadow Explanation:
Q: Which of the following is a polymer? 1424 05b5cc695e4d2b4197774c51b
5b5cc695e4d2b4197774c51b- 1Glycerolfalse
- 2Amino acidfalse
- 3Nucleic acidtrue
- 4Fatty acidfalse
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Answer : 3. "Nucleic acid"
Explanation :
Answer: C) Nucleic acid Explanation: Nucleic acid is a polymer among the given options.
Q: A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream? 1423 05b5cc6bfe4d2b4197774da7e
5b5cc6bfe4d2b4197774da7e- 11 kmphfalse
- 23 kmphtrue
- 35 kmphfalse
- 44 kmphfalse
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Answer : 2. "3 kmph"
Explanation :
Answer: B) 3 kmph Explanation: Let the speed of the stream = x kmph From the given data, 129+x+129-x=3 hrs 3x2 = 27 => x = 3 kmph Therefore, the speed of the stream = 3 kmph
Q: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 8%, the effective rate of interest becomes ? 1423 05b5cc6dce4d2b4197774e96a
5b5cc6dce4d2b4197774e96a- 110.25 %false
- 28.16 %true
- 39.63 %false
- 40.16 %false
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Answer : 2. "8.16 %"
Explanation :
Answer: B) 8.16 % Explanation: Let the sum be Rs. 100. Then,S.I. for first 6 months = (100 x 8 x 1) / (100 x 2) = Rs. 4S.I. for last 6 months = (104 x 8 x 1) / (100 x 2) = Rs. 4.16So, amount at the end of 1 year = (100 + 4 + 4.16) = Rs. 108.16Effective rate = (108.16 - 100) = 8.16%.