GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2159 05b5cc6d7e4d2b4197774e705
5b5cc6d7e4d2b4197774e705- 159false
- 260true
- 361false
- 464false
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उत्तर : 2. "60"
व्याख्या :
Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9 A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways. Number of even numbers = ⁵P₃ = 60.
प्र: The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is? 2158 05b5cc6ade4d2b4197774d109
5b5cc6ade4d2b4197774d109- 12759 cub. cmfalse
- 22247 cub. cmfalse
- 32614 cub. cmfalse
- 42311 cub. cmtrue
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उत्तर : 4. "2311 cub. cm"
व्याख्या :
Answer: D) 2311 cub. cm Explanation: Given Circumference of a circular base of a cylinder = 44 cm We know that Circumference of a circle = 2πr = 44⇒r = 22π Now given the height of a cylinder h = 15 cm Volume of a cylinder V = πr2h = π22π215 = 22 x 22 x 153.14 = 2311 cm3.
प्र: What is the systematic name of NH4ClO3? 2155 05b5cc6aae4d2b4197774cf74
5b5cc6aae4d2b4197774cf74- 1Ammonium Chloridefalse
- 2Ammonium Chloratetrue
- 3Ammonium Chloranefalse
- 4Ammonium Chlorinefalse
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उत्तर : 2. "Ammonium Chlorate"
व्याख्या :
Answer: B) Ammonium Chlorate Explanation: In common we all call the systematic name of NH4ClO3 as Ammonium Chlorate. But originally the systematic name is azanium trioxidochlorate.
प्र: In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 2154 05b5cc758e4d2b4197774fbc4
5b5cc758e4d2b4197774fbc4- 1fivefalse
- 2fourfalse
- 3twotrue
- 4onefalse
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उत्तर : 3. "two"
व्याख्या :
Answer: C) two Explanation: Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below : 2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 So, there are two such 8's. Hence the answer is C.
प्र: Name a common greenhouse gas containing only hydrogen and oxygen? 2154 05b5cc699e4d2b4197774c675
5b5cc699e4d2b4197774c675- 1CH4false
- 2O3false
- 3H2Otrue
- 4NOfalse
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उत्तर : 3. "H2O"
व्याख्या :
Answer: C) H2O Explanation: The common greenhouse gas containing only hydrogen and oxygen is H2O, this is water vapor. The common greenhouse gases are water vapor, carbon dioxide, methane, nitrous oxide, and ozone. The composition (chemical formula) of those gases are: Water vapor: H2OCarbon dioxide: CO2Methane: CH4Nitrous oxide: NOOzone: O3. As you see the only one of those that contains only hydrogen and oxygen is H2O, water vapor.
प्र: Which statement is true of all atoms that are anions? 2151 05b5cc64de4d2b4197774bc7a
5b5cc64de4d2b4197774bc7a- 1The atom has fewer protons than does a neutral atom of the same element.false
- 2The atom has more protons than electrons.false
- 3The atom has more neutrons than protons.false
- 4The atom has more electrons than protons.true
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उत्तर : 4. "The atom has more electrons than protons."
व्याख्या :
Answer: D) The atom has more electrons than protons. Explanation: Anions are atoms or radicals (groups of atoms), that have gained electrons. Since they now have more electrons than protons, anions have a negative charge.
प्र: 40% of 265 + 35% of 180 = 50% of ? 2146 05b5cc75ce4d2b4197774fc57
5b5cc75ce4d2b4197774fc57- 1383false
- 2338true
- 384.5false
- 4253.5false
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उत्तर : 2. "338"
व्याख्या :
Answer: B) 338 Explanation: We know that 40% = 25 40% of 265 + 35% of 180 = 50% ? 25 x 265 + 35% of 180 = 50% ? We know that (35% of 180 = 180% of 35) & 180% = 95 25 x 265 + 95 x 35 = 50% ? 106 + 63 = 50% ? ?= 2 x 169 = 338.
प्र: A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current? 2143 05b5cc6ace4d2b4197774d09b
5b5cc6ace4d2b4197774d09b- 14 kmphtrue
- 26 kmphfalse
- 33 kmphfalse
- 42 kmphfalse
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उत्तर : 1. "4 kmph"
व्याख्या :
Answer: A) 4 kmph Explanation: Let the speed of current = 'C' km/hr Given the speed of boat in still water = 6 kmph Let 'd' kms be the distance it covers. According to the given data, Boat takes thrice as much time in going the same distance against the current than going with the current i.e, d8 - C = 3 × d8 + C ⇒ 24 - 3C = 8 + C⇒ 4C = 16⇒ C = 4 kmph Hence, the speed of the current C = 4 kmph.