IIT JEE Practice Question and Answer

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Answer : 2. "North-East"
Explanation :

Answer: B) North-East Explanation: Early morning suns rise at east, if his shadow falls exactly behind him that means he is facing towards east. now he walks 5mt towards east, then he turns left that means he facing towards north and walk 3mt and if he turn left then he is facing towards west and he walk only 3 kms thats why man is in north east direction from starting point.

Q: In a class of 39 students the ratio of boys and girls is 2 : 1. Radhika ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Radhika ? 4344 0

  • 1
    9
    Correct
    Wrong
  • 2
    17
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "17"
Explanation :

Answer: B) 17 Explanation: Total student= 39, boys : girls = 2:1, hence no of boys= 2/3(39)= 26num of girls= 1/3(39) = 13 , since radhika ranked 15 among 39 student from topand ranked 8 among girls from bottom , this means 7 girls are below radhika, rest 13-9= 5 girls are above her, now from 14 toper 5 are girls hence 14-5=9 boys.Hence num of boys below radhika are 26-9=17

Q: There are 10 Letters and 10 correspondingly 10 different Address. If the letter are put into envelope randomly, then find the Probability that Exactly 9 letters will at the Correct Address ? 1880 0

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    1/10
    Correct
    Wrong
  • 2
    1/9
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 4. "0"
Explanation :

Answer: D) 0 Explanation: As we know we have 10 letter and 10 different address and one more information given that exactly 9 letter will at the correct address....so the remaining one letter automatically reach to their correct address P(E) = favorable outcomes /total outcomesHere favorable outcomes are '0'.So probability is '0'.

Q: A cuboid of dimension 24cm x 9cm x 8 cm is melted and smaller cubers are of side 3 cm is formed.find how many such cubes can be formed ? 1226 0

  • 1
    64
    Correct
    Wrong
  • 2
    56
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "64"
Explanation :

Answer: A) 64 Explanation: Volume of cuboid = (24 x 9 x 8) cm = 1728 cu.cmVolume of small cube = (3 x 3 x 3) cm = 27 cu.cm So, No. of small cubes formed = 1728/27 = 64.

Q: How many three digit numbers 'abc' are formed where two of the three digits are same ? 1416 0

  • 1
    252
    Correct
    Wrong
  • 2
    648
    Correct
    Wrong
  • 3
    243
    Correct
    Wrong
  • 4
    900
    Correct
    Wrong
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Answer : 3. "243"
Explanation :

Answer: C) 243 Explanation: Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10   First all possible case => 9(0 excluded) x 10 x 10 = 900   Second no repetition allowed =>9 x 9 x 8 = 648   Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)   Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

Q: The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ? 1626 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    46
    Correct
    Wrong
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Answer : 1. "28"
Explanation :

Answer: A) 28 Explanation: Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

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 ? 992 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: What is the name of the scheme for providing physical aids and assisted-living devices for senior citizens belonging to BPL category that was launched in Andhra Pradesh’s Nellore district on 1 April 2017? 1244 0

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    Sarkari Yojana
    Correct
    Wrong
  • 2
    Yantra Laxmi
    Correct
    Wrong
  • 3
    Rashtriya Vayoshri Yojana
    Correct
    Wrong
  • 4
    Vayovrudh Yojana
    Correct
    Wrong
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Answer : 3. "Rashtriya Vayoshri Yojana"
Explanation :

Answer: C) Rashtriya Vayoshri Yojana Explanation: “Rashtriya Vayoshri Yojana” was launched by the Ministry for Social Justice and Empowerment on 1 April 2017 at Nellore (Andhra Pradesh). Under the scheme, physical aids and assisted-living devices for senior citizens were distributed to senior citizens belonging to below poverty line (BPL) category. – The scheme has been implemented through the sole implementing agency – Artificial Limbs Manufacturing Corporation (ALIMCO), a public sector undertaking. The aids to be distributed under the “Rashtriya Vayoshri Yojana” scheme include walking sticks, elbow crutches, walkers, tripods / quadpods, hearing aids, artificial dentures and spectacles. – The ambitious scheme, first of its kind in the country, is expected to benefit 5,20,000 Senior citizens over a period of the 3 years.

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