IIT JEE Practice Question and Answer

Q: A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task? 1618 0

  • 1
    111
    Correct
    Wrong
  • 2
    117
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    139
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "123"
Explanation :

Answer: C) 123 Explanation: We know that, M1 × D1W1 = M2 × D2W2 Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845   1 × 61 = M × 901845  => M = 123

Q: What time will it be in 45 minutes? Now, if the time is 4:48 pm. 1617 0

  • Show AnswerHide Answer
  • Workspace

Answer :
Explanation :

As now, the time 4 : 48 pm after 45 min it will be 4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm. Hence, it is 5:33 pm.

Q: An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ? 1617 0

  • 1
    2000
    Correct
    Wrong
  • 2
    3000
    Correct
    Wrong
  • 3
    2500
    Correct
    Wrong
  • 4
    3500
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "2000"
Explanation :

Answer: A) 2000 Explanation: Let 's' be the number of small packets and 'b' the number of large packets sold on that day.   Therefore, s + b = 5000 ... eqn (1)   Each small packet was sold for Rs.150.Therefore, 's' small packets would have fetched Rs.150s.   Each large packets was sold for Rs.250.Therefore, 'b' large packets would have fetched Rs.250b.   Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)   Or 150s + 250b = 10,50,000 ... eqn (2)   Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)   Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000Or b = 3000   We know that s + b = 5000So, s = 5000 - b = 5000 - 3000 = 2000.   2000 small packets were sold.

Q: It was Tuesday on Jan 1, 2006. What was the day of the week Jan 1, 2010 ? 1617 0

  • 1
    Sunday
    Correct
    Wrong
  • 2
    Friday
    Correct
    Wrong
  • 3
    Monday
    Correct
    Wrong
  • 4
    Tuesday
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Friday"
Explanation :

Answer: B) Friday Explanation: On 31st December, 2005 it was Monday. Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days. On 31st December 2009, it was Thursday. Thus, on 1st Jan, 2010 it is Friday.

Q: Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years? 1617 0

  • 1
    Rs. 364
    Correct
    Wrong
  • 2
    Rs. 432
    Correct
    Wrong
  • 3
    Rs. 498
    Correct
    Wrong
  • 4
    Rs. 554
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "Rs. 432"
Explanation :

Answer: B) Rs. 432 Explanation: Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya Principal amount and Time is same but the only difference is Rate of interest. Rajeev took @ 8% and gave it to Chanukya @ 6% Here the difference in interest rate = 2% 2% of 5400 should be the extra amount paid by Rajeev to Avinash Required amount = 2 x 5400 x 4100 = 432   Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

  • Show AnswerHide Answer
  • Workspace

Answer : 4. "4"
Explanation :

Answer: D) 4 Explanation: Suman is brilliant and dishonest is   P ∧~ RSuman is brilliant and dishonest iff suman is rich isQ ↔  (P ∧ ~ R)   Negative of statement is expressed as~ (Q ↔(P ∧ ~ R)).

Q: 'Brothers and sisters, I have none. But that man's father is my father's son'.How I and that man are related respectively? 1615 0

  • 1
    Father & Son
    Correct
    Wrong
  • 2
    Brothers
    Correct
    Wrong
  • 3
    Son & Father
    Correct
    Wrong
  • 4
    Nephews
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "Father & Son"
Explanation :

Answer: A) Father & Son Explanation: Given that man's father is my father's son => Me because i have no brothers => Mans father is me. Hence, that man is my Son.

Q: The basic unit of the nervous system is the 1615 0

  • 1
    Lymphs
    Correct
    Wrong
  • 2
    Nephrons
    Correct
    Wrong
  • 3
    Nerves
    Correct
    Wrong
  • 4
    Neurons
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "Neurons"
Explanation :

Answer: D) Neurons Explanation: The basic unit of the nervous system is the Neurons.   The neuron is a single nerve cell, and you have billions of them. There are three basic types of neurons:: 1. Association, 2. Afferent  and 3. Efferent. The association neurons comprise the central nervous system (CNS) that is the brain and spinal cord. The afferent neurons are also known as the sensory neurons, they bring the stimuli from the sensors (e.g., skin, eyes, ears) to the CNS. The efferent neurons are also known as motor neurons, they bring the responses from the brain to the muscles and the glands.

      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