GATE Practice Question and Answer
8Q: A jogger running at 9 km/hr along side a railway track is 260 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger ? 1895 05b5cc6e5e4d2b4197774ed29
5b5cc6e5e4d2b4197774ed29- 125 secfalse
- 240 sectrue
- 338 secfalse
- 432 secfalse
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Answer : 2. "40 sec"
Explanation :
Answer: B) 40 sec Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.= 36 x 5/18 = 10 m/sec. Distance to be covered = 260 + 140 = 400 m. Time taken = 400/10 = 40 sec.
Q: Which choice best describes the polarity of BrF5? 1895 05b5cc62ce4d2b4197774b902
5b5cc62ce4d2b4197774b902- 1nonpolar bonds / nonpolar moleculefalse
- 2nonpolar bonds / polar moleculefalse
- 3polar bonds / polar moleculetrue
- 4polar bonds / nonpolar moleculefalse
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Answer : 3. "polar bonds / polar molecule"
Explanation :
Answer: C) polar bonds / polar molecule Explanation:
Q: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ? 1894 05b5cc6d7e4d2b4197774e6e2
5b5cc6d7e4d2b4197774e6e2- 142 secfalse
- 244 secfalse
- 346 secfalse
- 448 sectrue
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Answer : 4. "48 sec"
Explanation :
Answer: D) 48 sec Explanation: Relative speed = 60 + 90 = 150 km/hr. = 150 x 5/18 = 125/3 m/sec. Distance covered = 1.10 + 0.9 = 2 km = 2000 m. Required time = 2000 x 3/125 = 48 sec.
Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1894 05b5cc6dfe4d2b4197774eabc
5b5cc6dfe4d2b4197774eabc- 15true
- 24false
- 37false
- 46false
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Answer : 1. "5"
Explanation :
Answer: A) 5 Explanation: Let the number be x. Then, 3x2 - 4x = x + 50 3x2- 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5
Q: Find the next number in the following number series? 410, 409, 413, 404, ? 1893 05b5cc662e4d2b4197774bea6
5b5cc662e4d2b4197774bea6- 1412false
- 2415false
- 3418false
- 4420true
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Answer : 4. "420"
Explanation :
Answer: D) 420 Explanation: The given number series 410, 409, 413, 404, ? , follows a pattern that 410 410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420 Hence, the next number in the given series is 420.
Q: "National Youth Day" is celebrated on which day ? 1893 05b5cc76fe4d2b4197774ff3a
5b5cc76fe4d2b4197774ff3a- 1January 15false
- 2January 14false
- 3January 17false
- 4January 12true
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Answer : 4. "January 12"
Explanation :
Answer: D) January 12 Explanation: National Youth Day is celebrated in India on 12 January on the birthday of Swami Vivekananda. In 1984 the Government of India declared the day as the National Youth Day and since 1985 the event is celebrated in India every year.
Q: What is so delicate that even mentioning it breaks it? 1893 05b5cc6a9e4d2b4197774cef4
5b5cc6a9e4d2b4197774cef4- Show AnswerHide Answer
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Answer :
Explanation :
Silence is what is so delicate that even mentioning it breaks it.
Q: What is Latus Rectum of Parabola? 1892 05b5cc6a0e4d2b4197774ca42
5b5cc6a0e4d2b4197774ca42- 1line segmenttrue
- 2vertexfalse
- 3focusfalse
- 4major axisfalse
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Answer : 1. "line segment"
Explanation :
Answer: A) line segment Explanation: As parabola is a locus of a point, which moves so that its distance from focus and directrix is always equal. The latus rectum of a conic section is the chord (line segment) that passes through the focus, is perpendicular to the major axis and has both endpoints on the curve. The length of the latus rectum is determined differently for each conic. The length of a parabola's latus rectum is 4p, where p is the distance from the focus to the vertex.

