GATE Practice Question and Answer
8Q: If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ? 2544 05b5cc6c7e4d2b4197774de87
5b5cc6c7e4d2b4197774de87- 10false
- 21false
- 32false
- 43true
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Answer : 4. "3"
Explanation :
Answer: D) 3 Explanation: Here 5, 7 & 9 are repeating after modulation.
Q: Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ? 2542 05b5cc76fe4d2b4197774ff76
5b5cc76fe4d2b4197774ff76- 1404false
- 2415false
- 3418true
- 4420false
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Answer : 3. "418"
Explanation :
Answer: C) 418 Explanation: Let the total book be 1 Then, in the 1st week 613th of book is read i.e remaining pages = 1-613=713 in 2nd week he read 59th of it i.e 59×713=35117Remaining pages after 2nd week = 713-35117=28117 But given remaining pages after 2nd week = 100 28x117=100 --> x = 418 The total pages in the book are 418
Q: Statements :- All kids are God. No God is a Human. Some Human are Son. All Son are Men. Conclusions :- (a) Some Son are not God. (b) Some Men are Human. 2535 05b5cc6c8e4d2b4197774defb
5b5cc6c8e4d2b4197774defb- 1Only A followsfalse
- 2Only B followsfalse
- 3Both (A) and (B) followstrue
- 4A) and (B) follows D)false
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Answer : 3. "Both (A) and (B) follows"
Explanation :
Answer: C) Both (A) and (B) follows Explanation:
Q: Which of the following is the strongest base? 2534 05b5cc69fe4d2b4197774c9c8
5b5cc69fe4d2b4197774c9c8- 1LiCH3true
- 2LiFfalse
- 3LiOHfalse
- 4LiNH2false
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Answer : 1. "LiCH3"
Explanation :
Answer: A) LiCH3 Explanation: The stability of the ions is determined by the energy of the lone pairs. Carbon has the least effective nuclear charge (Zeff) and so the lone pair on the CH3− ion has the highest energy, making it the least stable ion and so the strongest base. The Zeff increases as we move across the period until we get to fluorine which has the greatest Zeff and so its lone pairs have the lowest energy, making F− the least basic ion. In order of decreasing basicity they are ranked LiCH3 > LiNH2 > LiOH > LiF. We are dealing with the ions F−, OH−, NH2− and CH3− and so the factor which influences their basicity is the stability of the ion compared to its conjugate acid.
Q: A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ? 2531 05b5cc6dde4d2b4197774ea28
5b5cc6dde4d2b4197774ea28- 115false
- 220false
- 310true
- 48false
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Answer : 3. "10"
Explanation :
Answer: C) 10 Explanation: Let the price of each note book be Rs.x. Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y. Hence xy = 300 => y = 300/x (x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy =>5(300/x) - 10x - 50 = 0 => -150+x2+5x multiplying both sides by -1/10x => x2+15x-10x-150=0 => x(x + 15) - 10(x + 15) = 0 => x = 10 or -15 As x>0, x = 10.
Q: Which of the following is the sixth to the left of the twentieth from the left end of the below arrangement ?BM%R#J@K!DF69L4*15NEP23AYQZ#7UG 2528 05b5cc758e4d2b4197774fc0a
5b5cc758e4d2b4197774fc0a- 1Ltrue
- 2Kfalse
- 34false
- 49false
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Answer : 1. "L"
Explanation :
Answer: A) L Explanation: The twentieth element in the above arrangement is 'E'.Then, the sixth element to the left of 'E' is 'L'.
Q: What is the term used in tennis when the score is 40-40? 2527 05b5cc67be4d2b4197774c20e
5b5cc67be4d2b4197774c20e- 1Acefalse
- 2Ledfalse
- 3Deucetrue
- 4Tiefalse
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Answer : 3. "Deuce"
Explanation :
Answer: C) Deuce Explanation: When both sides have won the same number of points then: when each side has won one, or two, points, the score is described as "15-all" and "30-all" (or "15-up" and "30-up"), respectively. However, if each player has won three points, the score is called as "deuce", not "40–all". From that point on in the game, whenever the score is tied, it is described as "deuce", regardless of how many points have been played.
Q: Find the odd one out? 6, 3, 3, 4.5, 10 2526 05b5cc698e4d2b4197774c670
5b5cc698e4d2b4197774c670- 13false
- 24.5false
- 36false
- 410true
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Answer : 4. "10"
Explanation :
Answer: D) 10 Explanation: Here the given number series is 6, 3, 3, 4.5, 10 The odd one in the given series is 10 The pattern it follows is 6 6 x 0.5 = 3 3 x 1 = 3 3 x 1.5 = 4.5 4.5 x 2 = 9 Hence, the odd number is 10.

