IIT JEE Practice Question and Answer

Q: How many squares with sides 1/2 inch long are needed to cover a rectangle that is 4 ft long and 4 ft wide ? 1790 0

  • 1
    9216
    Correct
    Wrong
  • 2
    10246
    Correct
    Wrong
  • 3
    12345
    Correct
    Wrong
  • 4
    7527
    Correct
    Wrong
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Answer : 1. "9216"
Explanation :

Answer: A) 9216 Explanation: It takes four of those little squares -- each one 1/2 inch on a side -- to cover one square inch. That's because each one is 1/2 x 1/2, or 1/4 of a square inch. In a rectangle that is 48 inches by 48 inches, there are 2304 square inches.(1 ft = 12 inches) Since it takes 4 little squares to cover 1 sq inch, then it would need 2304 x 4 squares (1/2 inch on a side each) to cover a rectangle 4 feet by 4 feet. That is 9,216 of those squares.

Q: Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ? 1790 0

  • 1
    25 : 114
    Correct
    Wrong
  • 2
    35 : 103
    Correct
    Wrong
  • 3
    15 : 108
    Correct
    Wrong
  • 4
    41 : 94
    Correct
    Wrong
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Answer : 2. "35 : 103"
Explanation :

Answer: B) 35 : 103 Explanation: Santhosh's investment = 6000 x 70/100 = Rs.4200Rajitha's investment = 4200 x 5/4 = Rs.5250Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.Required ratio = 5250 : 15450 = 35 : 103.

Q: Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ? 1789 0

  • 1
    41.25 days
    Correct
    Wrong
  • 2
    37.5 days
    Correct
    Wrong
  • 3
    39.75 days
    Correct
    Wrong
  • 4
    40 days
    Correct
    Wrong
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Answer : 1. "41.25 days"
Explanation :

Answer: A) 41.25 days Explanation: Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.   Let the initial speed be '1'   Hence, Time = 22(24hrs - 2)   Noe new speed = 2/3   Let the number of days he take be 'D'   Therefore, 2224-2x3200=D24-2x2250   D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.

Q: A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red? 1789 0

  • 1
    2/3
    Correct
    Wrong
  • 2
    1/8
    Correct
    Wrong
  • 3
    3/8
    Correct
    Wrong
  • 4
    3/4
    Correct
    Wrong
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Answer : 1. "2/3"
Explanation :

Answer: A) 2/3 Explanation: Given number of balls = 3 + 5 + 7 = 15 One ball is drawn randomly = 15C1 probability that it is either pink or red = 7C1 + 3C115C1 = 7 + 315 = 1015 = 23

Q: How long can a beaver hold its breath? 1788 0

  • 1
    15 min
    Correct
    Wrong
  • 2
    25 min
    Correct
    Wrong
  • 3
    35 min
    Correct
    Wrong
  • 4
    55 min
    Correct
    Wrong
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Answer : 1. "15 min"
Explanation :

Answer: A) 15 min Explanation: Beavers Can Hold Their Breath for 15 Minutes Underwater. The behavior of beavers means that they need to be able to remain underwater for several minutes at a time.

Q: Translator program used in assembly language 1788 0

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    Assembler
    Correct
    Wrong
  • 2
    Interpreter
    Correct
    Wrong
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    Compiler
    Correct
    Wrong
  • 4
    Operating system
    Correct
    Wrong
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Answer : 1. "Assembler"
Explanation :

Answer: A) Assembler Explanation: Assemblers are used to translate a program written in a low-level assembly language into a machine code (object code) file so it can be used and executed by the computer.   Hence, Assembler is the translator program used in assembly language.

Q: If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ? 1788 0

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

Answer: D) 0 Explanation: Let assume the value of a,b &c that will satisfy the equation.so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1here all three cases satisfy the equationassume any one a=1,b=1,c= -1 Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0

Q: Guess the Hiding Letter  ? 1787 0

  • 1
    D
    Correct
    Wrong
  • 2
    K
    Correct
    Wrong
  • 3
    L
    Correct
    Wrong
  • 4
    G
    Correct
    Wrong
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Answer : 4. "G"
Explanation :

Answer: D) G Explanation: Starting from letter 'S' add 5 in the clock wise direction to get the next letter in English alphabets. Here S + 5 => 19 + 5 = 24 => X X + 5 = 24 + 5 = 3 => C Similarly,  B + 5 = G

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