GATE Practice Question and Answer

Q: Simplify the following equation [K-L2-K+L2]4K = a/b 1866 0

  • 1
    K = b /a
    Correct
    Wrong
  • 2
    bL = -a
    Correct
    Wrong
  • 3
    KL = 1
    Correct
    Wrong
  • 4
    aK = -b
    Correct
    Wrong
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Answer : 2. "bL = -a"
Explanation :

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

Q: 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 0

  • 1
    25 m
    Correct
    Wrong
  • 2
    21 m
    Correct
    Wrong
  • 3
    22 m
    Correct
    Wrong
  • 4
    19 m
    Correct
    Wrong
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Answer : 1. "25 m"
Explanation :

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.

Q: What is the conjugate base of H2O? 1865 0

  • 1
    NH3+
    Correct
    Wrong
  • 2
    OH-
    Correct
    Wrong
  • 3
    H2O
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "OH-"
Explanation :

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.

Q: What is the highest number of satellites that have been launched by the ISRO in 2017 on a single rocket ? 1865 0

  • 1
    22
    Correct
    Wrong
  • 2
    37
    Correct
    Wrong
  • 3
    83
    Correct
    Wrong
  • 4
    104
    Correct
    Wrong
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Answer : 4. "104"
Explanation :

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.

Q: 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 0

  • 1
    1 : 10
    Correct
    Wrong
  • 2
    10 : 1
    Correct
    Wrong
  • 3
    9 : 11
    Correct
    Wrong
  • 4
    11 : 9
    Correct
    Wrong
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Answer : 1. "1 : 10"
Explanation :

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

Q: Find the Value of ? 5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34 1864 0

  • 1
    81
    Correct
    Wrong
  • 2
    77
    Correct
    Wrong
  • 3
    73
    Correct
    Wrong
  • 4
    89
    Correct
    Wrong
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Answer : 4. "89"
Explanation :

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

Q: Find the Missing number in the given Series ?   2, 3, 6, 15, ? , 157.5 1864 0

  • 1
    87
    Correct
    Wrong
  • 2
    78.5
    Correct
    Wrong
  • 3
    56.5
    Correct
    Wrong
  • 4
    45
    Correct
    Wrong
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Answer : 4. "45"
Explanation :

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

Q: 3 x 3 + 3 - 3 + 3 = ? 1863 0

  • 1
    9
    Correct
    Wrong
  • 2
    12
    Correct
    Wrong
  • 3
    -3
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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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.

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