GATE Practice Question and Answer
8Q: Who has become the 1st woman player from Jharkhand who has been awarded Dhyan Chand Award 2017 ? 1684 05b5cc6c8e4d2b4197774df32
5b5cc6c8e4d2b4197774df32- 1Poonam Ranifalse
- 2Samurai Tetetrue
- 3Monika Malikfalse
- 4Navjot Kaurfalse
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Answer : 2. "Samurai Tete"
Explanation :
Answer: B) Samurai Tete Explanation: The Apex body for The national sport Hockey India pitched Jharkhand's Samurai Tete, former Team India skipper, for the Dhyan Chand Lifetime Achievement Award 2016. Sumrai Tete is a member of the India women's national field hockey team. She played with the team when it won the Gold at the Manchester 2002 Commonwealth Games.
Q: What is the difference between the number of uneducated females in city P and that of uneducated males in city S ? 1273 05b5cc6c8e4d2b4197774df37
5b5cc6c8e4d2b4197774df37- 19 lakhstrue
- 26 lakhsfalse
- 33 lakhsfalse
- 42 lakhsfalse
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Answer : 1. "9 lakhs"
Explanation :
Answer: A) 9 lakhs Explanation: Educated females in city P = 25 lakhs Uneducated females in city P = 30 - 25 = 5 lakhs Educated males city S = 21 lakhs Educated males in city S = 35 - 21= 14 lakhs Required difference = 14 - 5 = 9 lakhs
Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 1617 05b5cc6c8e4d2b4197774df23
5b5cc6c8e4d2b4197774df23- 1(1/2)^11true
- 2(9)(1/2)false
- 3(11C2)(1/2)^9false
- 4(1/2)false
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Answer : 1. "(1/2)^11"
Explanation :
Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event, P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½, ⇒ Probability of not getting head in one coin = 1- ½ = ½, Hence, All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211
Q: One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn find the probability the card drawn is red. 1267 05b5cc6c8e4d2b4197774df1e
5b5cc6c8e4d2b4197774df1e- 12/3false
- 21/2true
- 31/52false
- 413/51false
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Answer : 2. "1/2"
Explanation :
Answer: B) 1/2 Explanation: We know that: When one card is drawn from a pack of 52 cards The numbers of possible outcomes n(s) = 52 We know that there are 26 red cards in the pack of 52 cards⇒ The numbers of favorable outcomes n(E) = 26 Probability of occurrence of an event: P(E)=Number of favorable outcomes/Numeber of possible outcomes=n(E)/n(S) ∴ required probability = 26/52 = 1/2.
Q: In what time a 360 m. long train moving at the speed of 44 km/hr will cross a 140 m. long bridge ? 1386 05b5cc6c8e4d2b4197774df0f
5b5cc6c8e4d2b4197774df0f- 136 secfalse
- 239 secfalse
- 341 sectrue
- 443 secfalse
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Answer : 3. "41 sec"
Explanation :
Answer: C) 41 sec Explanation: Speed = 44 kmph x 5/18 = 110/9 m/s We know that, Time = distance/speed Time = (360 + 140) / (110/9) = 500 x 9/110 = 41 sec.
Q: The breadth of a rectangular field is 75% of its length. If perimeter of the field is 1050 m, what will be th area of field ? 1397 05b5cc6c8e4d2b4197774df0a
5b5cc6c8e4d2b4197774df0a- 165700 sq.mfalse
- 254500 sq.mfalse
- 378700 sq.mfalse
- 467500 sq.mtrue
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Answer : 4. "67500 sq.m"
Explanation :
Answer: D) 67500 sq.m Explanation: Let the length be 'l' and breadth be 'b'. b = l × 3/4__________(a) 2(l+b) = 1050 l+b = 525___________(b) From equations (a) and (b), l = 300m, b = 225 m Area = l × b = 300 × 225 = 67500 sq.m.
Q: What is the Probability of all cars not clashing each other ? 1572 05b5cc6c8e4d2b4197774df05
5b5cc6c8e4d2b4197774df05- 11/8false
- 20false
- 31/4true
- 41false
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Answer : 3. "1/4"
Explanation :
Answer: C) 1/4 Explanation: Non collision can happen only when all the cars move in same direction. That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.P(all cars not colliding) = P(all cars moving in the same direction) = P(all cars moving in clockwise direction) + P(all cars moving in anticlockwise direction) = [p(A --> C) x p(C --> B) x p(B --> A)] + [p(A --> B) x p(B --> C) x p(C --> A)] = [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2] = 1/8 + 1/8 = 1/4
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. 2441 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: