IIT JEE Practice Question and Answer

Q: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2728 0

  • 1
    39 days
    Correct
    Wrong
  • 2
    37 days
    Correct
    Wrong
  • 3
    35 days
    Correct
    Wrong
  • 4
    33 days
    Correct
    Wrong
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Answer : 3. "35 days"
Explanation :

Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.

Q: Which Indian state shares the most borders with other states? 2723 0

  • 1
    Uttarakhand
    Correct
    Wrong
  • 2
    Rajasthan
    Correct
    Wrong
  • 3
    Madhya Pradesh
    Correct
    Wrong
  • 4
    Uttar Pradesh
    Correct
    Wrong
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Answer : 4. "Uttar Pradesh"
Explanation :

Answer: D) Uttar Pradesh Explanation: Uttar Pradesh is the Indian state which share the most borders with 9 different states.   Neighbouring States of Uttar Pradesh – Uttarakhand and Himachal Pradesh in northwest, Delhi, Haryana and Rajasthan in west, Madhya Pradesh in south, Chhattisgarh in southeast, Bihar and Jharkhand in east.

Q: Who invented Dynamite? 2723 0

  • 1
    Graham Bell
    Correct
    Wrong
  • 2
    Nikola Tesla
    Correct
    Wrong
  • 3
    Alfred Nobel
    Correct
    Wrong
  • 4
    Louis Pateur
    Correct
    Wrong
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Answer : 3. "Alfred Nobel"
Explanation :

Answer: C) Alfred Nobel Explanation: Alfred Bernhard Nobel was a Swedish chemist, engineer, inventor, businessman, and philanthropist. Known for inventing Dynamite, Nobel also owned Bofors, which he had redirected from its previous role as primarily an iron and steel producer to a major manufacturer of cannon and other armaments.

Q: What is the ratio of 18 minutes to one hour ? 2722 0

  • 1
    1/5
    Correct
    Wrong
  • 2
    3/4
    Correct
    Wrong
  • 3
    1/7
    Correct
    Wrong
  • 4
    3/10
    Correct
    Wrong
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Answer : 4. "3/10"
Explanation :

Answer: D) 3/10 Explanation: One hour = 60 min 18/60 = 3/10

Q: 6 B in an O? 2721 0

  • 1
    6 books in an order
    Correct
    Wrong
  • 2
    6 balls in an over
    Correct
    Wrong
  • 3
    6 bats in an odd
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 2. "6 balls in an over"
Explanation :

Answer: B) 6 balls in an over Explanation: 6 b in an o means 6 balls in an over in cricket.

Q: An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling 90 km. How many kms did he travel by taxi ? 2721 0

  • 1
    55 kms
    Correct
    Wrong
  • 2
    35 kms
    Correct
    Wrong
  • 3
    25 kms
    Correct
    Wrong
  • 4
    65 kms
    Correct
    Wrong
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Answer : 1. "55 kms"
Explanation :

Answer: A) 55 kms Explanation: Let x and y be the respective km's travelled by man via taxi and by his own car.Given x + y = 90 => x = 90 - yBut according to the question,7x + 6y = 5957(90-y) + 6y = 595=> 630 - 7y + 6y = 595=> y = 630 - 595 = 35=> x = 90 - 35 = 55Therefore, the distance travelled by taxi is 55 kms.

Q: Li3PO4 compound name? 2721 0

  • 1
    Lithium perchlorate
    Correct
    Wrong
  • 2
    Lithium phyrite
    Correct
    Wrong
  • 3
    Lithium phosphate
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Lithium phosphate"
Explanation :

Answer: C) Lithium phosphate Explanation: The given compund Li3PO4 name is Lithium phosphate.   Lithium phosphate is a white crystal at room temperature. It is slightly soluble in water. It  can be used to produce glass, disk, colorful phosphor powder. It can also be used as a catalyst in some reactions.

Q: If a number 72k23l is divisible by 88. Then find value of k and l ? 2716 0

  • 1
    k=8 & l=2
    Correct
    Wrong
  • 2
    k=7 & l=2
    Correct
    Wrong
  • 3
    k=8 & l=3
    Correct
    Wrong
  • 4
    k=7 & l=1
    Correct
    Wrong
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Answer : 2. "k=7 & l=2"
Explanation :

Answer: B) k=7 & l=2 Explanation: If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' :For a number to be divisible by "8", the last 3-digit should be divisible by "8"Here 72x23y --> last 3-digit is '23y'So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' :For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"(7 + x + 3) - (2 + 2 + y)(7 + x + 3) - (2 + 2 + 2)(10 + x) - 6 should be divisible by "11"for x = 7=> 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.

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