GATE प्रश्न और उत्तर का अभ्यास करें

प्र: Who has become the 1st woman player from Jharkhand who has been awarded Dhyan Chand Award 2017  ? 1684 0

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    Poonam Rani
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    Samurai Tete
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  • 3
    Monika Malik
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  • 4
    Navjot Kaur
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उत्तर : 2. "Samurai Tete"
व्याख्या :

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.

प्र: What is the difference between the number of uneducated females in city P and that of uneducated males in city S ? 1273 0

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    9 lakhs
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    6 lakhs
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    3 lakhs
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  • 4
    2 lakhs
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उत्तर : 1. "9 lakhs"
व्याख्या :

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

प्र: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 1617 0

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    (1/2)^11
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  • 2
    (9)(1/2)
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  • 3
    (11C2)(1/2)^9
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  • 4
    (1/2)
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उत्तर : 1. "(1/2)^11"
व्याख्या :

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

प्र: 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 0

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    2/3
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  • 2
    1/2
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    1/52
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    13/51
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उत्तर : 2. "1/2"
व्याख्या :

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.

प्र: In what time a 360 m. long train moving at the speed of 44 km/hr will cross a 140 m. long bridge ? 1386 0

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    36 sec
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  • 2
    39 sec
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  • 3
    41 sec
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  • 4
    43 sec
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उत्तर : 3. "41 sec"
व्याख्या :

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.

प्र: 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 0

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    65700 sq.m
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  • 2
    54500 sq.m
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  • 3
    78700 sq.m
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  • 4
    67500 sq.m
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उत्तर : 4. "67500 sq.m"
व्याख्या :

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.

प्र: What is the Probability of all cars not clashing each other ? 1572 0

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    1/8
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  • 2
    0
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  • 3
    1/4
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  • 4
    1
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उत्तर : 3. "1/4"
व्याख्या :

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

प्र: 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 0

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    Only A follows
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    Only B follows
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    Both (A) and (B) follows
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    A) and (B) follows D)
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उत्तर : 3. "Both (A) and (B) follows"
व्याख्या :

Answer: C) Both (A) and (B) follows Explanation:

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