IIT JEE Practice Question and Answer

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Answer : 1. "(1)"
Explanation :

Answer: A) (1) Explanation: The error lies in part (1).  As the phrase 'as much as' needs to be replaced with 'much as I'. This is because we use 'as much as' for comparing two qualities or things. But here in the given sentence a contrast is given in the latter part of the sentence. So we need a conjunction like 'even though' 'although' etc... 'Much as I' also serves the same purpose.

Q: In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1.  5a2-18a+9=0 2.  3b2+5b-2=0 1481 0

  • 1
    a >= b
    Correct
    Wrong
  • 2
    a <= b
    Correct
    Wrong
  • 3
    a < b
    Correct
    Wrong
  • 4
    a > b
    Correct
    Wrong
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Answer : 4. "a > b"
Explanation :

Answer: D) a > b Explanation: From solving 1 and 2 we get,   1. 5a(a-3)-3(a-3) = 0   (5a-3)(a-3) = 0   a = 3 or 3/5   2.    3b(b+2)-1(b+2) = 0   b = -2 or b = 1/3   Here when a = 3, a > b for b = -2 and b = 1/3   when a = 3/5. a > b for b = -2 and b = 1/3.   Hence, it is clear that a > b.

Q: Find out the wrong term in the following number series. 4, 16, 37, 58, 81. 1778 0

  • 1
    16
    Correct
    Wrong
  • 2
    37
    Correct
    Wrong
  • 3
    81
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 3. "81"
Explanation :

Answer: C) 81 Explanation: The series follows the following pattern.   4   16 = 42   37 = 12+62   58 = 32+72   81 ≠52+82.   Here every number is based on the digits of previous number. Hence, 81 is the wrong number in the given series.

Q: What will come in the place of the (?) in the following number series ? 5 14 45 130 (?) 1182 1536 0

  • 1
    222
    Correct
    Wrong
  • 2
    397
    Correct
    Wrong
  • 3
    404
    Correct
    Wrong
  • 4
    415
    Correct
    Wrong
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Answer : 2. "397"
Explanation :

Answer: B) 397 Explanation: The pattern of given series is : 5 14 = (5x3) - 1 45 = (14x3) + 3 130 = (45x3) - 5 (?) = (130x3) + 7 => (?) = 397 1182 = (397x3) - 9 Thus, the missing number is 397.

Q: State-run Bharat Sanchar Nigam (BSNL) unveiled its mobile wallet in partnership with _______ to enable one-tap bill payment for its over 100 million subscribers. 1301 0

  • 1
    Free Charge
    Correct
    Wrong
  • 2
    MobiWik
    Correct
    Wrong
  • 3
    Paytm
    Correct
    Wrong
  • 4
    Ezetap
    Correct
    Wrong
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Answer : 2. "MobiWik"
Explanation :

Answer: B) MobiWik Explanation:

Q: The average age of 7 boys is increased by 1 year when one of tem whose age is replaced by a girl. What is the age of the girl ? 1806 0

  • 1
    33 yrs
    Correct
    Wrong
  • 2
    27 yrs
    Correct
    Wrong
  • 3
    21 yrs
    Correct
    Wrong
  • 4
    29 yrs
    Correct
    Wrong
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Answer : 4. "29 yrs"
Explanation :

Answer: D) 29 yrs Explanation: Let the avg age of 7 boys be 'p' yearsLet the age of the girl be 'q' yearsFrom given data,The age of 7 boys = 7p yearsNow the new average = (p + 1) when 22 yrs is replaced by qNow the age of all 7 will become = 7(p + 1) yrsHence, 7p - 22 + q = 7(p + 1) yrs7p - 22 + q = 7p + 7q = 22 + 7 = 29 Therefore, the age of girl = q = 29 years.

Q: Find the length of a train if it takes 10 seconds to cross a pole and double of this time to cross a platform of length 200 mts ? 1193 0

  • 1
    180 mts
    Correct
    Wrong
  • 2
    190 mts
    Correct
    Wrong
  • 3
    200 mts
    Correct
    Wrong
  • 4
    210 mts
    Correct
    Wrong
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Answer : 3. "200 mts"
Explanation :

Answer: C) 200 mts Explanation: Let the length of the train be 'L' mts let the speed of the train be 'S' m/s Given it crosses a pole in 10 sec=> L/S = 10 ......(1)Given it takes 20 sec (double of pole) to cross a platform of length 200 mts => (L + 200)/S = 20 => L/S + 200/S = 20 But from (1) L/S = 10 => 200/S = 20 - 10 => S = 20 m/s Then, from (1) => L = 10 x 20 = 200 mts. Hence, the length of the train = 200 mts.

Q: Proclamation of Emergency under Article 352 has been done How many times ? 1296 0

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

Answer: B) 3 Explanation:

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