IIT JEE Practice Question and Answer

Q: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ? 1465 0

  • 1
    20 kmph
    Correct
    Wrong
  • 2
    18 kmph
    Correct
    Wrong
  • 3
    12 kmph
    Correct
    Wrong
  • 4
    16 kmph
    Correct
    Wrong
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Answer : 3. "12 kmph"
Explanation :

Answer: C) 12 kmph Explanation: Let the distance traveled be x km.Then, x/10 - x/15 = 23x - 2x = 60 => x = 60 km.Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.Required speed = 60/5 = 12 kmph.

Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1465 0

  • 1
    45 kmph
    Correct
    Wrong
  • 2
    25 kmph
    Correct
    Wrong
  • 3
    30 kmph
    Correct
    Wrong
  • 4
    50 kmph
    Correct
    Wrong
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Answer : 4. "50 kmph"
Explanation :

Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.

Q: I make things short but I am pretty long myself. WHAT AM I? 1465 0

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Answer :
Explanation :

I am ABBREVIATION. Yes, i make things short and asks the full form of that thing.   Ex : FCI - Food Corporation of India IAS - Indian Administrative Service.

Q: The yield to maturity on a discount bond is 1465 0

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    equal to both the coupon rate / current yeild
    Correct
    Wrong
  • 2
    less than the current yeild but greater than the coupon rate
    Correct
    Wrong
  • 3
    greater than both the coupon rate / current yeild
    Correct
    Wrong
  • 4
    equal to the current yeild but greater than the coupon rate
    Correct
    Wrong
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Answer : 1. "equal to both the coupon rate / current yeild"
Explanation :

Answer: A) equal to both the coupon rate / current yeild Explanation: Yield to maturity is a concept for fixed rate bonds and is the internal rate of return i.e. the rate at which future flows are discounted on a compound basis to give the present value of the bond including accrued interest.

Q: As per "Swachh Survekshan 2017" records India's cleanest city is  ? 1464 0

  • 1
    Hyderabd
    Correct
    Wrong
  • 2
    Tirupathi
    Correct
    Wrong
  • 3
    Indore
    Correct
    Wrong
  • 4
    Bangalore
    Correct
    Wrong
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Answer : 3. "Indore"
Explanation :

Answer: C) Indore Explanation: i. The 'Swachh Survekshan 2017' survey results were recently announced by Urban Development Minister M Venkaiah Naidu. The total 434 cities of India were surveyed. Indore in Madhya Pradesh is India’s cleanest city while Gonda in Uttar Pradesh is the dirtiest. ii. Gujarat has the maximum of 12 cities among the top 50 clean cities, closely followed by Madhya Pradesh with 11 and Andhra Pradesh with eight. Uttar Pradesh accounted for half of the bottom 50 cities in the cleanliness ranking. Top 10 clean cities of India in 2017 are: Indore (MP)Bhopal (MP)Visakhapatnam (Andhra Pradesh)Surat (Gujarat)Mysuru (Karnataka)Tiruchirapally (Tamil Nadu)New Delhi Municipal Council (New Delhi)Navi Mumbai (Mumbai)Tirupati (Andhra Pradesh)Vadodara (Gujarat). Top 5 Dirtiest cities of India (with Rank) in 2017 are: Gonda (UP)- 434,Bhusawal (Maharashtra)- 433,Bagaha (Bihar)- 432,Hardoi (Uttarakhand)- 431,Katihar (Bihar)- 430.

Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1464 0

  • 1
    30,400
    Correct
    Wrong
  • 2
    30,200
    Correct
    Wrong
  • 3
    34,600
    Correct
    Wrong
  • 4
    38,400
    Correct
    Wrong
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Answer : 1. "30,400"
Explanation :

Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....   We know the sum of n terms  nn+12   Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.

Q: How many black cards are in a deck? 1463 0

  • 1
    13
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    39
    Correct
    Wrong
  • 4
    52
    Correct
    Wrong
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Answer : 2. "26"
Explanation :

Answer: B) 26 Explanation: The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits. Red suits :: Heart suit and Diamond suit = 26 Black suits :: Spade suit and Club suit = 26.

Q: A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is? 1463 0

  • 1
    1/26
    Correct
    Wrong
  • 2
    1/13
    Correct
    Wrong
  • 3
    2/13
    Correct
    Wrong
  • 4
    1/52
    Correct
    Wrong
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Answer : 1. "1/26"
Explanation :

Answer: A) 1/26 Explanation: Here in this pack of cards, n(S) = 52 Let E = event of getting a queen of the club or a king of the heart Then, n(E) = 2 P(E) = n(E)/n(S) = 2/52 = 1/26

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