GATE Practice Question and Answer
6Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2041 15b5cc7d1e4d2b4197775129f
5b5cc7d1e4d2b4197775129f- 12880true
- 21440false
- 3720false
- 42020false
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Answer : 1. "2880"
Explanation :
Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd. 4 women can be arranged at 4 even places in 4! ways. and 5 men can be placed in remaining 5 places in 5! ways. Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880
Q: From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He again repeated the same process. Thus, in three attempts the ratio of wine and water became 343 : 169. The initial amount of wine in the container was: 13730 15b5cc7d7e4d2b41977751510
5b5cc7d7e4d2b41977751510- 175 litresfalse
- 2100 litresfalse
- 3150 litresfalse
- 4120 litrestrue
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Answer : 4. "120 litres"
Explanation :
Answer: D) 120 litres Explanation: wine(left)wine(added) = 343169 It means wine(left)wine(initial amount) = 343512 (since 343 + 169 = 512) Thus, 343x = 512x1 - 15k3 343512 = 783 = 1 - 15k3 1-15k=78=1-18 Thus the initial amount of wine was 120 liters.
Q: From a tank of petrol, which contains 200 litres of petrol, the seller replaces each time with kerosene when he sells 40 litres of petrol(or its mixture). Everytime he sells out only 40 litres of petrol(pure or impure). After replacing the petrol with kerosen 4th time, the total amount of kerosene in the mixture is 27776 25b5cc7d7e4d2b4197775151a
5b5cc7d7e4d2b4197775151a- 181.92Lfalse
- 296Lfalse
- 3118.08Ltrue
- 4None of thesefalse
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Answer : 3. "118.08L"
Explanation :
Answer: C) 118.08L Explanation: The amount of petrol left after 4 operations = 200 × 1-402004 = 200 × 454 = 200 × 256625 = 81.92 litres Hence the amount of kerosene = 200 - 81.92 = 118. 08 litres
Q: The purest form of iron is 1415 05b5cc7efe4d2b41977751d76
5b5cc7efe4d2b41977751d76- 1wrought irontrue
- 2steelfalse
- 3pig ironfalse
- 4nickel steelfalse
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Answer : 1. "wrought iron"
Explanation :
Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.
Q: What should come next in the following number series? 9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1 1713 05b5cc7f2e4d2b41977751ea7
5b5cc7f2e4d2b41977751ea7- 19false
- 28false
- 37false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: Here the series is: 987654321, 87654321, 7654321, 65...
Q: If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month? 2949 15b5cc7f3e4d2b41977751ed9
5b5cc7f3e4d2b41977751ed9- 1Tuesdayfalse
- 2Mondaytrue
- 3Wednesdayfalse
- 4Sundayfalse
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Answer : 2. "Monday"
Explanation :
Answer: B) Monday Explanation: Dates on which Tuesday fall are 3,10,17, and 24 Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday Required day of the month = Friday - 4 = Monday