IIT JEE Practice Question and Answer

Q: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1435 0

  • 1
    3/7
    Correct
    Wrong
  • 2
    7/11
    Correct
    Wrong
  • 3
    5/9
    Correct
    Wrong
  • 4
    6/13
    Correct
    Wrong
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Answer : 3. "5/9"
Explanation :

Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Q: If a carrier wave of 1000 kHz is used to carry the signal, the length of transmitting antenna will be equal to _____ ? 1434 0

  • 1
    300 m
    Correct
    Wrong
  • 2
    30 m
    Correct
    Wrong
  • 3
    3 m
    Correct
    Wrong
  • 4
    0.3 m
    Correct
    Wrong
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Answer : 1. "300 m"
Explanation :

Answer: A) 300 m Explanation: h =   = 3 × 108/106 = 300 m

Q: Which of the following is an example of system software? 1434 0

  • 1
    Microsoft word
    Correct
    Wrong
  • 2
    Calculator
    Correct
    Wrong
  • 3
    Operating system
    Correct
    Wrong
  • 4
    RAM
    Correct
    Wrong
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Answer : 3. "Operating system"
Explanation :

Answer: C) Operating system Explanation: In a brief, the system software is the interface between the hardware and user applications. System software is a type of computer program that is designed to run a computer’s hardware and application programs.   Examples : OS, System utilities, BIOS like mouse, keyboard, hard disc, Device drivers, Assembler,...

Q: How many laws of physics are there? 1432 0

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

Answer: C) 3 Explanation: Physics has 5 laws. But the 3 laws of Newton has been clubbed together under one Law. Therefore there are 3 Newtons laws of Physics. They are ::   1. Newtons Laws of Motion     a. First Law of Motion     b. Second Law of Motion     C. Third Law of Motion   2. Newtons Law of Cooling   3. Newtons Law of Gravitation.

Q: Which warship has become the India’s first warship to install solar panels on board ? 1430 0

  • 1
    INS Sindhudurg
    Correct
    Wrong
  • 2
    INS Sarvekshak
    Correct
    Wrong
  • 3
    NS Vindhyagiri
    Correct
    Wrong
  • 4
    INS Godavari
    Correct
    Wrong
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Answer : 2. "INS Sarvekshak"
Explanation :

Answer: B) INS Sarvekshak Explanation: Indian Navy’s survey vessel INS Sarvekshak has become the India’s first warship to install solar power system on board. The solar power system works on sunlight and hence is 100% per cent reliable for power source that can be used for communication equipment, battery charging and general lightings onboard round the clock with battery outputs during night. The system is maintenance free.

Q: Which is first city in the world to get its own Microsoft font in 2017 ? 1429 0

  • 1
    India
    Correct
    Wrong
  • 2
    Iran
    Correct
    Wrong
  • 3
    Dubai
    Correct
    Wrong
  • 4
    Iraq
    Correct
    Wrong
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Answer : 3. "Dubai"
Explanation :

Answer: C) Dubai Explanation: Dubai has become the first city in the world to get its own Microsoft font. ii. Sheikh Hamdan bin Mohammed bin Rashid Al Maktoum, Dubai's Crown Prince and Chairman of the Executive Council, launched the Dubai Font recently. iii. The font, available in three styles as 'Dubai', 'Dubai Medium' and 'Dubai Light', can be in italics, underlined and bold.

Q: A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit  ? 1427 0

  • 1
    Rs. 8,640
    Correct
    Wrong
  • 2
    Rs. 9,850
    Correct
    Wrong
  • 3
    Rs. 10,000
    Correct
    Wrong
  • 4
    Rs. 11,220
    Correct
    Wrong
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Answer : 3. "Rs. 10,000"
Explanation :

Answer: C) Rs. 10,000 Explanation: Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12 = 36 : 36 : 48 = 6 : 6 : 8 But given that the annual profit of B is Rs. 3000 => 6 ratio = 3000 Then for the total annual profit of partners is 20 ratio = 3000 x 20/6 = 10,000.

Q: In how many ways can the letters of the word 'LEADER' be arranged ? 1427 0

  • 1
    360
    Correct
    Wrong
  • 2
    420
    Correct
    Wrong
  • 3
    576
    Correct
    Wrong
  • 4
    220
    Correct
    Wrong
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Answer : 1. "360"
Explanation :

Answer: A) 360 Explanation: No. of letters in the word = 6No. of 'E' repeated = 2Total No. of arrangement = 6!/2! = 360

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