IIT JEE Practice Question and Answer

Q: If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ? 2167 0

  • 1
    40 kms
    Correct
    Wrong
  • 2
    30 kms
    Correct
    Wrong
  • 3
    46 kms
    Correct
    Wrong
  • 4
    32 kms
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "40 kms"
Explanation :

Answer: A) 40 kms Explanation: Let the actual distance travelled be x km. Then x/8=(x+20)/12 => 12x = 8x + 160=> 4x = 160=> x = 40 km.

Q: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is : 2167 0

  • 1
    Rs. 560
    Correct
    Wrong
  • 2
    Rs. 530
    Correct
    Wrong
  • 3
    Rs. 500
    Correct
    Wrong
  • 4
    Rs. 514
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "Rs. 500"
Explanation :

Answer: C) Rs. 500 Explanation: 110% of S.P. = Rs. 616 S.P. = (616 x 100)/110 = Rs. 560 C.P = (110 x 560)/112 = Rs. 500

Q: Find the odd man out of the following number series? 22, 26, 42, 78, 142, 244 2167 0

  • 1
    244
    Correct
    Wrong
  • 2
    142
    Correct
    Wrong
  • 3
    78
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "244"
Explanation :

Answer: A) 244 Explanation: The given number series 22, 26, 42, 78, 142, 244 follows a pattern that, 2222 + 22 = 22 + 4 = 2626 + 42 = 26 + 16 = 4242 + 62 = 42 + 36 = 7878 + 82 = 78 + 64 = 142142 + 102 = 142 + 100 = 242    Hence, the odd one in the given number series is 244.

Q: A relationship can be damaged by 2165 0

  • 1
    no trust
    Correct
    Wrong
  • 2
    not meeting expectations
    Correct
    Wrong
  • 3
    people not spending time with one another
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: Any of the above given options can be a reason for the damage of the relationship of a couple or a two families or two friends etc... Without trust relationship cannot be maintained, people not spending time with one another or without meeting the expectations of the opponents can also damage the relationship.

Q: If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ? 2163 0

  • 1
    Rs. 20
    Correct
    Wrong
  • 2
    Rs. 24
    Correct
    Wrong
  • 3
    Rs. 26
    Correct
    Wrong
  • 4
    Rs. 29
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Rs. 20"
Explanation :

Answer: A) Rs. 20 Explanation: Let the original price of rice be Rs. x Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs From given data, for Rs. 500 x ---- R kgs (x + 25x/100) ---- (R - 5) kgs => Rx = (R - 5)(x + 25x/100) => Rx = (R - 5)(125x/100) => 100Rx = 125Rx - 625x => R = 25 So at rate of Rs. x/kg, man get 25 kgs for Rs. 500 => x = 500/25 = Rs. 20

Q: Which of the following Valleys is known as "Paradise of Earth" ? 2163 0

  • 1
    Kullu Valley
    Correct
    Wrong
  • 2
    Doon Valley
    Correct
    Wrong
  • 3
    Kangra Valley
    Correct
    Wrong
  • 4
    Kashmir Valley
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Kashmir Valley"
Explanation :

Answer: D) Kashmir Valley Explanation:

Q: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77,  but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 2163 0

  • 1
    Rs. 13 and Rs. 17
    Correct
    Wrong
  • 2
    Rs. 17 and Rs. 19
    Correct
    Wrong
  • 3
    Rs. 23 and Rs. 17
    Correct
    Wrong
  • 4
    Rs. 13 and Rs. 19
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Rs. 13 and Rs. 17"
Explanation :

Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13

  • Show AnswerHide Answer
  • Workspace

Answer : 2. "535"
Explanation :

Answer: B) 535 Explanation: The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A.   Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B.    Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully