GATE Practice Question and Answer
8Q: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 2379 05b5cc74fe4d2b4197774fb0d
5b5cc74fe4d2b4197774fb0d- 12false
- 23false
- 34false
- 45true
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Answer : 4. "5"
Explanation :
Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.
Q: The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 2379 05b5cc6fbe4d2b4197774f09f
5b5cc6fbe4d2b4197774f09f- 187true
- 281false
- 383false
- 485false
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Answer : 1. "87"
Explanation :
Answer: A) 87 Explanation: Cp1 = p2 - p1 , Cp2 = p3 - p2 ......Cp23 = p24 - p23Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)All terms get cancelled, except p1 = 2 and p24 = 89 So Sum = -p1 + p24Sum of series = -2 + 89 = 87
Q: First Bank to introduce ATM in India is ? 2379 05b5cc711e4d2b4197774f3fa
5b5cc711e4d2b4197774f3fa- 1ICICI Bankfalse
- 2HSBC Banktrue
- 3HDFC Bankfalse
- 4YES Bankfalse
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Answer : 2. "HSBC Bank"
Explanation :
Answer: B) HSBC Bank Explanation: HSBC (Hongkong and Shanghai Banking Corporation) is the first bank to introduce ATM concept in India in the year 1987 in Mumbai.
Q: Which one of the following scripts of ancient India was written from right to left ? 2379 05b5cc6dbe4d2b4197774e946
5b5cc6dbe4d2b4197774e946- 1Brahmifalse
- 2Kharoshtitrue
- 3Nandnagarifalse
- 4Sharadafalse
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Answer : 2. "Kharoshti"
Explanation :
Answer: B) Kharoshti Explanation: The Kharoshi script is an ancient script used by the ancient Gandhara culture of South Asia primarily in modern-day Afghanistan and Pakistan to write the Gandhari language (a dialect of Prakrit) and the Sanskrit language.
Q: A line is an undefined term because it 2377 05b5cc6a1e4d2b4197774cb10
5b5cc6a1e4d2b4197774cb10- Show AnswerHide Answer
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Answer :
Explanation :
A line is an undefined term because of it : ┬а 1. Contains an infinite number of points 2.┬аcan be used to create other geometric shapes 3.┬аis a term that does not have a formal definition ┬а In Geometry, unless it's stated, a line will extend in one dimension and goes on forever in both ways.
Q: What does the Aufbau Principle state 2375 05b5cc63de4d2b4197774bb0f
5b5cc63de4d2b4197774bb0f- 1Electrons will be added to an atom starting from the lowest possible level or sublevel.true
- 2Electrons will be added to an atom only if the orbitals are different colors.false
- 3Electrons will be added to an atom in a random order.false
- 4Electrons will be added to an atom in a symmetrical manner.false
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Answer : 1. "Electrons will be added to an atom starting from the lowest possible level or sublevel."
Explanation :
Answer: A) Electrons will be added to an atom starting from the lowest possible level or sublevel. Explanation: The Aufbau Principle states that in the ground state of an atom, an electron enters the orbital with lowest energy first and subsequent electrons are fed in the order of increasing energies.
Q: A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ? 2373 05b5cc75ce4d2b4197774fc4d
5b5cc75ce4d2b4197774fc4d- 162.45%false
- 251.42%false
- 348.88%true
- 447.32%false
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Answer : 3. "48.88%"
Explanation :
Answer: C) 48.88% Explanation: Number of runs made by running = 180 - (11 x 4 + 8 x 6)= 180 - (92)= 88Now, we need to calculate 88 is what percent of 180.тЗТ88180├Ч100┬а = 48.888%.
Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 2373 05b5cc731e4d2b4197774f7fb
5b5cc731e4d2b4197774f7fb- 16false
- 28false
- 34true
- 49false
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Answer : 3. "4"
Explanation :
Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

