GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Simplify the following equation [K-L2-K+L2]4K = a/b 1866 05b5cc6d6e4d2b4197774e674
5b5cc6d6e4d2b4197774e674- 1K = b /afalse
- 2bL = -atrue
- 3KL = 1false
- 4aK = -bfalse
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उत्तर : 2. "bL = -a"
व्याख्या :
Answer: B) bL = -a Explanation: [(K-L)2-K+L2]4K = abK2+L2-2KL-K2+L2+2KL4K= ab => - 4KL/4K = a/b => L = - a/b => bL = -a
प्र: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ? 1866 05b5cc74fe4d2b4197774faf4
5b5cc74fe4d2b4197774faf4- 125 mtrue
- 221 mfalse
- 322 mfalse
- 419 mfalse
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उत्तर : 1. "25 m"
व्याख्या :
Answer: A) 25 m Explanation: A:B = 200 : 169A:C = 200 : 182 CB = CA×AB 182200×200169 => 182:169 When C covers 182 m , B Covers 169 mWhen C covers 350 m , B Covers 169182×350=> 325 m So C beats B by (350 - 325) = 25 m.
प्र: What is the conjugate base of H2O? 1865 05b5cc63de4d2b4197774baf9
5b5cc63de4d2b4197774baf9- 1NH3+false
- 2OH-true
- 3H2Ofalse
- 4All the abovefalse
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उत्तर : 2. "OH-"
व्याख्या :
Answer: B) OH- Explanation: A conjugate acid, is a species formed by the reception of a proton (H+) by a base—in other words, it is a base with a hydrogen ion added to it. On the other hand, a conjugate base is what is left over after an acid has donated a proton during a chemical reaction. Hence, a conjugate base is a species formed by the removal of a proton from an acid. Because some acids are capable of releasing multiple protons, the conjugate base of an acid may itself be acidic. Represented as the following chemical reaction: Acid + Base ⇌ Conjugate Base + Conjugate Acid The water molecule is the conjugate acid of the hydroxide ion after the latter received the hydrogen proton donated by ammonium. On the other hand, ammonia is the conjugate base for the acid ammonium after ammonium has donated a hydrogen ion towards the production of the water molecule. We can also refer to OH- as a conjugate base of H2O, since the water molecule donates a proton towards the production of NH+4 in the reverse reaction, which is the predominating process in nature due to the strength of the base NH3 over the hydroxide ion.
प्र: What is the highest number of satellites that have been launched by the ISRO in 2017 on a single rocket ? 1865 05b5cc741e4d2b4197774f9d1
5b5cc741e4d2b4197774f9d1- 122false
- 237false
- 383false
- 4104true
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उत्तर : 4. "104"
व्याख्या :
Answer: D) 104 Explanation: India’s space agency on Feb 15th, 2017 launched a record 104 satellites from a single rocket as it crossed another milestone in its low-cost space-exploration program. The satellites from seven countries were carried by the Indian Space Research Organization’s Polar Satellite Launch Vehicle on its 38th consecutive successful flight. On board was a 714kg satellite for earth observation and more than 100 smaller satellites weighing less than 10kg each. Three were Indian-owned, 96 were from US companies, and the rest belonged to companies based in Israel, Kazakhstan, the Netherlands, Switzerland and the United Arab Emirates. Most were owned by Planet Labs Inc, a US-based Earth-imaging company.
प्र: A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is 1864 05b5cc6afe4d2b4197774d25e
5b5cc6afe4d2b4197774d25e- 11 : 10true
- 210 : 1false
- 39 : 11false
- 411 : 9false
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उत्तर : 1. "1 : 10"
व्याख्या :
Answer: A) 1 : 10 Explanation: Customer ratio of Milk and Water is given by Milk :: Water 6.4 0 81 + 38 =6411 6411 6410 - 6411 => Milk : Water = 110 : 11 = 10 : 1 Therefore, the proportionate of Water to Milk for Customer is 1 : 10
प्र: Find the Value of ? 5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34 1864 05b5cc6b1e4d2b4197774d318
5b5cc6b1e4d2b4197774d318- 181false
- 277false
- 373false
- 489true
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उत्तर : 4. "89"
व्याख्या :
Answer: D) 89 Explanation: This can be done in a method called Approximation. Now, 52 + 63 + 6 + 72 = ? x 3.3425 + 216 + 6 + 49 = ? x 3.34296 = ? x 3.34? = 2963.34 = 88.622 ≅ 89
प्र: Find the Missing number in the given Series ? 2, 3, 6, 15, ? , 157.5 1864 05b5cc6bce4d2b4197774d8ac
5b5cc6bce4d2b4197774d8ac- 187false
- 278.5false
- 356.5false
- 445true
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उत्तर : 4. "45"
व्याख्या :
Answer: D) 45 Explanation: Here given 2, 3, 6, 15, ? , 157.5 2 x 1.5 = 3 3 x 2 = 6 6 x 2.5 = 15 15 x 3 = 45 45 x 3.5 = 157.5 Therefore, the missing number is 45
प्र: 3 x 3 + 3 - 3 + 3 = ? 1863 05b5cc65ee4d2b4197774be59
5b5cc65ee4d2b4197774be59- 19false
- 212true
- 3-3false
- 43false
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उत्तर : 2. "12"
व्याख्या :
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.

