GATE Practice Question and Answer
8Q: 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: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ? 2379 05b5cc705e4d2b4197774f1ee
5b5cc705e4d2b4197774f1ee- 11/10false
- 21/9false
- 31false
- 40true
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Answer : 4. "0"
Explanation :
Answer: D) 0 Explanation: As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address P(E) = favorable outcomes /total outcomesHere favorable outcomes are '0'.So probability is '0'.
Q: 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: 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: 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 : 1. Contains an infinite number of points 2. can be used to create other geometric shapes 3. is a term that does not have a formal definition 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 2377 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: 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 ? 2374 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
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.⇒88180×100 = 48.888%.

