IIT JEE Practice Question and Answer

Q: Find the wrong number from the following series ?7   18   40   106   183   282   403 4830 0

  • 1
    18
    Correct
    Wrong
  • 2
    183
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    106
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "40"
Explanation :

Answer: C) 40 Explanation: The given series follows the rule,+(11x1), +(11x3), +(11x5), +(11x7), +(11x9),.... So starting from 7, 7 + 11 = 18, 18 + 33 = 51, 51 + 55 = 106, ...So wrong number is 40 which is to be 51.

Q: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ? 1542 0

  • 1
    84 km/hr
    Correct
    Wrong
  • 2
    96 km/hr
    Correct
    Wrong
  • 3
    72 km/hr
    Correct
    Wrong
  • 4
    60 km/hr
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "84 km/hr"
Explanation :

Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

Q: Find the wrong number from the following series ?37   47    52    67    87    112    142 5681 0

  • 1
    87
    Correct
    Wrong
  • 2
    47
    Correct
    Wrong
  • 3
    52
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "47"
Explanation :

Answer: B) 47 Explanation: The given series follows the rule,+(5x1), +(5x2), +(5x3), +(5x4), +(5x5),.... So starting from 37, 37 + 5 = 42, 42 + 10 = 52, 52 + 15 = 67, 67 + 20 = 87,...So wrong number is 47 which is to be 42.

Q: Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ? 1712 0

  • 1
    17 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    19 yrs
    Correct
    Wrong
  • 4
    21 yrs
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "17 yrs"
Explanation :

Answer: A) 17 yrs Explanation: Let the present age of Raj and Rajitha be 4x and 9x.Then, according to question,9x = 2(9x-12)-3 => 9x = 27 => x = 3Raj's present age = 4x = 12yrs, After 5 years Raj's age will be 12 + 5 = 17 yrs.

Q: Find the number of factors of 9321 ? 3117 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie., (1+1) x (1+1) x (1+1)= 8 ; we get eight factors.

Q: One-quarter of one-seventh of a land is sold for Rs. 30,000. What is the value of an four fifteenth of land ? 4987 0

  • 1
    Rs.1,92,000
    Correct
    Wrong
  • 2
    Rs.2,24,000
    Correct
    Wrong
  • 3
    Rs.1,26,000
    Correct
    Wrong
  • 4
    Rs.3,42,000
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Rs.2,24,000"
Explanation :

Answer: B) Rs.2,24,000 Explanation: One-quarter of one-seventh = 1/4 x 1/7= 1/28Now, 1/28 of a land costs = Rs. 30,000Thus, 8/35 of the land will cost = 30,000 x 28 x 4/15= Rs. 2,24,000.

Q: What is the right most integer of the expression 65776759 + 54697467  ? 9965 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Last digit for the power of 6 is 6 (always) Power cycle of 7 is 7, 9, 3, 1. Now 467/4 gives a remainder of 3 Then the last digit is 73 = 3 Last digit is 6 + 3 = 9.

Q: The length of a rope in meter by which a cow must be tethered in order that she may be able to graze an area of 2826 sq.m is ? 1107 0

  • 1
    15 mts
    Correct
    Wrong
  • 2
    30 mts
    Correct
    Wrong
  • 3
    24 mts
    Correct
    Wrong
  • 4
    36 mts
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "30 mts"
Explanation :

Answer: B) 30 mts Explanation: The cow can graze an area of 2826 sq.m i.e it is able to cover area of circle of 2826 sq.m   Therefore, πr2 =2826r2 =(2826×7/22) = 899.18 = 900r = 30 m.   Therefore, the radius of the circle implies the length of the rope = 30 mts.

      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