GATE Practice Question and Answer
8Q: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction ? 1649 05b5cc6e2e4d2b4197774ec2f
5b5cc6e2e4d2b4197774ec2f- 158 secfalse
- 262 secfalse
- 360 secfalse
- 450 sectrue
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Answer : 4. "50 sec"
Explanation :
Answer: D) 50 sec Explanation: The distance to be covered = Sum of their lengths = 200 + 300 = 500 m. Relative speed = 72 -36 = 36 kmph = 36 x 5/18 = 10 mps. Time required = d/s = 500/10 = 50 sec.
Q: The former cricketer/cricketers who was/were inducted into the ICC Cricket Hall of Fame 2018 in Dublin, Ireland 1649 05b5cc62ae4d2b4197774b8ab
5b5cc62ae4d2b4197774b8ab- 1Claire Taylorfalse
- 2Ricky Pontingfalse
- 3Rahul Dravidfalse
- 4All of the abovetrue
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Answer : 4. "All of the above"
Explanation :
Answer: D) All of the above Explanation: Former captains Rahul Dravid of India, Ricky Ponting of Australia and retired England Women wicketkeeper-batter Claire Taylor were inducted into the ICC Cricket Hall of Fame 2018 during a glittering ceremony in Dublin, Ireland. Former Team India captain Rahul Dravid has become the fifth Indian cricketer after Anil Kumble, Sunil Gavaskar, Bishan Singh Bedi and Kapil Dev to be inducted into the ICC Hall of Fame.
Q: Which of the following is not a prime number? 1649 05b5cc655e4d2b4197774bd59
5b5cc655e4d2b4197774bd59- 15false
- 211false
- 321true
- 437false
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Answer : 3. "21"
Explanation :
Answer: C) 21 Explanation: A prime number is a whole number greater than 1 whose only factors are 1 and itself. Factors of 5 are 1, 5 Factors of 11 are 1, 11 Factors of 21 are 1, 3, 7, 21 Factors of 37 are 1, 37. Hence, according to the definition of a prime number, 21 is not a prime number as it has more than two factors.
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 ? 1648 05b5cc74fe4d2b4197774faf4
5b5cc74fe4d2b4197774faf4- 125 mtrue
- 221 mfalse
- 322 mfalse
- 419 mfalse
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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: Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is 1646 05b5cc7b4e4d2b4197775088d
5b5cc7b4e4d2b4197775088d- 11,00,000false
- 259,049false
- 33439true
- 46561false
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Answer : 3. "3439"
Explanation :
Answer: C) 3439 Explanation: The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times. This can be done in 105ways, but '0' is there So, the numbers starting with '0' are to be excluded is 94 numbers. Total 5 digit telephone numbers = 105- 94 = 3439
Q: What is x squared plus x squared? 1645 05b5cc666e4d2b4197774bef3
5b5cc666e4d2b4197774bef3- 14xfalse
- 22x^2true
- 3x^4false
- 42xfalse
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Answer : 2. "2x^2"
Explanation :
Answer: B) 2x^2 Explanation: In an algebraic expression, like terms are terms that contain the same variables raised to the same powers. Calculating x-squared plus x-squared is a matter of combining like terms. Now x^2 + x^2 = 2x^2 Hence, x-squared plus x-squared is equal to 2 times x squared.
Q: In how many different ways can the letters of the word 'ABYSMAL' be arranged ? 1645 05b5cc6c9e4d2b4197774df88
5b5cc6c9e4d2b4197774df88- 15040false
- 23650false
- 34150false
- 42520true
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Answer : 4. "2520"
Explanation :
Answer: D) 2520 Explanation: Total number of letters in the word ABYSMAL are 7 Number of ways these 7 letters can be arranged are 7! ways But the letter is repeated and this can be arranged in 2! ways Total number of ways arranging ABYSMAL = 7!/2! = 5040/2 = 2520 ways.
Q: How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ? 1642 05b5cc6dde4d2b4197774ea0f
5b5cc6dde4d2b4197774ea0f- 148true
- 252false
- 338false
- 442false
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Answer : 1. "48"
Explanation :
Answer: A) 48 Explanation: Here distance d = 800 mts speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s time t = 800x1860x5= 48 sec.

