IIT JEE Practice Question and Answer

Q: The length of a rectangle is 10 cm more than the breadth. Find the diagonal length of rectangle if perimeter is 44 cm ? 1302 0

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    12.50 cm
    Correct
    Wrong
  • 2
    14.21 cm
    Correct
    Wrong
  • 3
    15.98 cm
    Correct
    Wrong
  • 4
    17.08 cm
    Correct
    Wrong
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Answer : 4. "17.08 cm"
Explanation :

Answer: D) 17.08 cm Explanation: Let the length of the rectangle = L cm   Then the breadth of the rectangle = (L - 10) cm   Perimeter of a rectangle = 2(L + B) cm   => 44 = 2(L + L - 10)   => 44 = 4L - 20   => 4L = 64   => L = 16 cm   => B = L - 10 = 6 cm   Diagonal = L2+B2 = 162+62 = 17.08 cm

Q: O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ? 1301 0

  • 1
    10
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    35/4
    Correct
    Wrong
  • 4
    45/4
    Correct
    Wrong
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Answer : 4. "45/4"
Explanation :

Answer: D) 45/4 Explanation: As clear from the figure itself, triangle OQX and triangle O'PX are similar. So, OQ/O'P = OX/O'X => OX = (7/9)xO'X And since, OX + O'X = 20 => (7/9)xO'X + O'X = 20 => O'X = 45/4

Q: You will always find me in the past. I can be created in the present, But the future can never taint me. What am I? 1298 0

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Answer :
Explanation :

I am History.   Yes, history refers to all the past, but we can create history in the presentand it cannot be polluted in the future.

Q: Nuclear Fission is caused by the impact of 1296 0

  • 1
    Electron
    Correct
    Wrong
  • 2
    Neutron
    Correct
    Wrong
  • 3
    Proton
    Correct
    Wrong
  • 4
    Deutron
    Correct
    Wrong
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Answer : 2. "Neutron"
Explanation :

Answer: B) Neutron Explanation: In nuclear physics, nuclear fission is either a nuclear reaction or a radioactive decay process in which the nucleus of an atom splits into smaller parts (lighter nuclei). The fission process often produces free neutrons and releases a very large amount of energy.   Thus, The Nuclear Fission is caused by the impact of Neutrons.

Q: Work done in a free expansion process is 1296 0

  • 1
    Minimun
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    Maximum
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 2. "0"
Explanation :

Answer: B) 0 Explanation: No work done as there is no external external pressure in free expansion.    Hence, Work done in a free expansion process is Zero.

Q: What is 12 S of the Z? 1295 0

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Answer :
Explanation :

12 S of Z represents 12 Signs of the Zodiac.   It is similar to the 1. 52 W in a Y        -  52 weeks in a year 2. 3 H in a C          -  3 Hands in a Clock 3. 3600 S in an H   -  3600 Seconds in an Hour 4. 5 O in the W      -   5 Oceans in the World

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Answer : 3. "Neither A nor B follows"
Explanation :

Answer: C) Neither A nor B follows Explanation: There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes. So conclusion A does not follow. In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins. Thus, conclusion B does not follow either.

Q: Which public sector bank has tied up with Tirumala Milk Products for providing loans to dairy farmers  ? 1292 0

  • 1
    Axis Bank
    Correct
    Wrong
  • 2
    ICICI Bank
    Correct
    Wrong
  • 3
    State Bank Of India
    Correct
    Wrong
  • 4
    HDFC Bank
    Correct
    Wrong
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Answer : 3. "State Bank Of India"
Explanation :

Answer: C) State Bank Of India Explanation: The State Bank of India (SBI) has tied-up with Tirumala Milk Products to provide loans to dairy farmers who supply milk to the latter. As per the scheme for financing dairy units, SBI offers loans for construction of shed, and purchase of milch animals, milking machine, and chaff cutter. Apart from this, the bank also provides loans to dairy societies for modernisation and creation of infrastructure such as purchase of automatic milk collection system, purchase of transport vehicles and bulk chilling unit. The Tirumala Milk Products is a South- based company, which was acquired by France-based Groupe Lactalis in 2014.

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