IIT JEE Practice Question and Answer

Q: A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum? 1721 0

  • 1
    Rs. 7000
    Correct
    Wrong
  • 2
    Rs. 4500
    Correct
    Wrong
  • 3
    Rs. 9000
    Correct
    Wrong
  • 4
    Rs. 8200
    Correct
    Wrong
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Answer : 3. "Rs. 9000"
Explanation :

Answer: C) Rs. 9000 Explanation: Let Rs. K invested in each scheme Two years C.I on 20% = 20 + 20 + 20x20/100 = 44% Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25% Now, (P x 44/100) - (P x 32.25/100) = 528.75 => 11.75 P = 52875 => P = Rs. 4500   Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

Q: Find the C.I. on Rs. 15,225 for 9 months at 16% per annum compounded quarterly ? 1720 0

  • 1
    Rs. 1911
    Correct
    Wrong
  • 2
    Rs. 1909
    Correct
    Wrong
  • 3
    Rs. 1901
    Correct
    Wrong
  • 4
    Rs. 1907
    Correct
    Wrong
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Answer : 3. "Rs. 1901"
Explanation :

Answer: C) Rs. 1901 Explanation: P = Rs. 15225, n = 9 months = 3 quarters, R = 16% p.a. per quarter.   Amount = 15225x1+41003   = (15225 x 26/25 x 26/25 x 26/25) = Rs. 17126.05   => C.I. = 17126 - 15625 = Rs. 1901.05.

Q: A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ? 1720 0

  • 1
    244 km
    Correct
    Wrong
  • 2
    144 km
    Correct
    Wrong
  • 3
    444 km
    Correct
    Wrong
  • 4
    344 km
    Correct
    Wrong
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Answer : 2. "144 km"
Explanation :

Answer: B) 144 km Explanation: Given a jeep travels a certain distance taking 6 hrs in forward journeyDuring the return journey, it takes 4 hrs with an increased speed 12 km/hrLet 'x' be the distance.Now, speed is given by distance/time.Here the difference between both speeds = 12  x4 - x6 = 12  3x - 2x12 = 12   => x = 144 km   Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.

Q: Find the remainder when 629 is divided by 5 ? 1720 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "1"
Explanation :

Answer: B) 1 Explanation: All powers of 6 has 6 in units place so answer will definitely be 1.

Q: R enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, P increases his share 20% and Q by 10%. If the total profit at the end of one year is Rs 1,90,500, what amount will 'R' receive at the end of year as share in profit ? 1719 0

  • 1
    Rs. 90500
    Correct
    Wrong
  • 2
    Rs. 87500
    Correct
    Wrong
  • 3
    Rs. 88900
    Correct
    Wrong
  • 4
    Rs. 90000
    Correct
    Wrong
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Answer : 4. "Rs. 90000"
Explanation :

Answer: D) Rs. 90000 Explanation: Ratio of investments for 1 year => (P : Q : R) = (2x2 + 2.4x10) : (3x2 + 3.3x10) : (5x12) => (P : Q : R) = 28 : 39 : 60 Now R share = 190500 x 60/127 = Rs. 90000.

Q: Sensitive data is always classified. 1719 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE
    Correct
    Wrong
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Answer : 2. "FALSE"
Explanation :

Answer: B) FALSE Explanation: FALSE. Sensitive data is NOT always classified.   Sensitive information is data that must be protected from unauthorized access to safeguard the privacy or security of an individual or organization. There are three main types of sensitive information: 1. Personal information 2. Business information 3. Classified information Data is "Classified" based on the damage that might result from unauthorized disclosure. Some data is Sensitive, but will not necessarily do harm to the country if released publicly - such as PII- which could do harm to individuals if released but not necessarily the country.

Q: What does the central nervous system consists of? 1719 0

  • 1
    Brain
    Correct
    Wrong
  • 2
    Spinal cord
    Correct
    Wrong
  • 3
    Nerves
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: The central nervous system CNS is responsible for integrating sensory information and responding accordingly. It consists of two main components::  1. The brain  2. The spinal cord The brain is the center of our thoughts, the interpreter of our external environment, and the origin of control over body movement. The brain can be divided into four main lobes: temporal, parietal, occipital and frontal.   The spinal cord serves as a conduit for signals between the brain and the rest of the body.

Q: Which method of expressing direction is indicated in the illustration? 1718 0

  • 1
    Section
    Correct
    Wrong
  • 2
    Interjuction
    Correct
    Wrong
  • 3
    Intersection
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Intersection"
Explanation :

Answer: C) Intersection Explanation:

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