IIT JEE Practice Question and Answer

Q: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ? 1812 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "5"
Explanation :

Answer: A) 5 Explanation: Let the number be x. Then,   3x2 - 4x = x + 50   3x2- 5x - 50 = 0   (3x + 10)(x - 5) = 0   x = 5

Q: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days  ? 1812 0

  • 1
    9 days
    Correct
    Wrong
  • 2
    11 days
    Correct
    Wrong
  • 3
    13 days
    Correct
    Wrong
  • 4
    15 days
    Correct
    Wrong
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Answer : 3. "13 days"
Explanation :

Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.

Q: The purest form of iron is 1812 0

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    wrought iron
    Correct
    Wrong
  • 2
    steel
    Correct
    Wrong
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    pig iron
    Correct
    Wrong
  • 4
    nickel steel
    Correct
    Wrong
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Answer : 1. "wrought iron"
Explanation :

Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.

Q: A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? 1812 1

  • 1
    14 cm
    Correct
    Wrong
  • 2
    13.5 cm
    Correct
    Wrong
  • 3
    12.5 cm
    Correct
    Wrong
  • 4
    11.4 cm
    Correct
    Wrong
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Answer : 3. "12.5 cm"
Explanation :

Answer: C) 12.5 cm Explanation: Let the required height of the building be x meter More shadow length, More height(direct proportion) Hence we can write as (shadow length) 40.25 : 28.75 :: 17.5 : x⇒ 40.25 × x = 28.75 × 17.5⇒ x = 28.75 × 17.5/40.25= 2875 × 175/40250= 2875 × 7/1610= 2875/230= 575/46= 12.5 cm

Q: Someone who loans money is called 1811 0

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    Lender
    Correct
    Wrong
  • 2
    Borrower
    Correct
    Wrong
  • 3
    Investee
    Correct
    Wrong
  • 4
    Investor
    Correct
    Wrong
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Answer : 1. "Lender"
Explanation :

Answer: A) Lender Explanation: Someone who receives money in exchange for a promise to pay it back later is called a borrower1, and the person making the loan is the lender.

Q: In preparing a bank reconciliation, outstanding checks are 1811 0

  • 1
    Deducted from the balance sheet
    Correct
    Wrong
  • 2
    Added to the bank balance
    Correct
    Wrong
  • 3
    Deducted from the bank balance
    Correct
    Wrong
  • 4
    Added to the balance sheet
    Correct
    Wrong
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Answer : 1. "Deducted from the balance sheet"
Explanation :

Answer: A) Deducted from the balance sheet Explanation: If an outstanding check of the previous month clears the bank (is paid by the bank) in the current month, you simply remove that check from the list of outstanding checks. If an outstanding check of the previous month does not clear the bank in the current month, the check will remain on the list of outstanding checks until the month that it does clear the bank. In the bank reconciliation process, the total amount of the outstanding checks is deducted from the balance appearing on the bank statement.

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 1810 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

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Answer :
Explanation :

The letter 'E'. As of the above given data, It is in the 1st place in Earth, 2nd in Heaven and in the middle of the Sea. It appears once in a Year and twice in a Week. It is present in February, June, September, October, November & December. But not in the Month.   Hence, it is the letter 'E'.

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