IIT JEE Practice Question and Answer

Q: If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ? 2393 0

  • 1
    13/125
    Correct
    Wrong
  • 2
    14/57
    Correct
    Wrong
  • 3
    11/120
    Correct
    Wrong
  • 4
    16/41
    Correct
    Wrong
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Answer : 3. "11/120"
Explanation :

Answer: C) 11/120 Explanation: Let the numbers be a and b.We know that product of two numbers = Product of their HCF and LCMThen, a + b = 55 and ab = 5 x 120 = 600.=> The required sum = (1/a) + (1/b) = (a+b)/ab=55/600 = 11/120

Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2392 0

  • 1
    70 lit
    Correct
    Wrong
  • 2
    170 lit
    Correct
    Wrong
  • 3
    90 lit
    Correct
    Wrong
  • 4
    190 lit
    Correct
    Wrong
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Answer : 2. "170 lit"
Explanation :

Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.

Q: A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ? 2392 0

  • 1
    97 %
    Correct
    Wrong
  • 2
    110 %
    Correct
    Wrong
  • 3
    135 %
    Correct
    Wrong
  • 4
    115 %
    Correct
    Wrong
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Answer : 2. "110 %"
Explanation :

Answer: B) 110 % Explanation: % Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

Q: Which payment type can help you stick to a budget? 2391 0

  • 1
    Payday loans
    Correct
    Wrong
  • 2
    Cash advances
    Correct
    Wrong
  • 3
    Debit cards
    Correct
    Wrong
  • 4
    Credit cards
    Correct
    Wrong
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Answer : 3. "Debit cards"
Explanation :

Answer: C) Debit cards Explanation: There are two payment types that will help you stick to your budget. 1. Cash2. Debit Card The amount in the debit card is the only amount you can spend to stay within budget. These method work because once you spend your money, you are done. You don’t have anything else to spend.   Credit cards, payday loans, and cash advances are all loans on future income. When you use a credit card, there is always just a little bit more you can spend. These types do not help you budget properly. In fact, these types encourage you to spend beyond your means and be out of budget.

Q: Which of the following is not a function of cytoskeleton in a cell ? 2390 0

  • 1
    Maintenance of cell shape and structure
    Correct
    Wrong
  • 2
    Intracellular transport
    Correct
    Wrong
  • 3
    Cell motility
    Correct
    Wrong
  • 4
    Support of the organelle
    Correct
    Wrong
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Answer : 2. "Intracellular transport"
Explanation :

Answer: B) Intracellular transport Explanation: A cytoskeleton is the frame that gives shape to a cell. And also it offers support, and facilitates movement through three main components: microfilaments, intermediate filaments, and microtubules.   The cytoskeleton helps the cell move in its environment and controls the movement of all of the cell's interior workings.

Q: Which expression is equivalent to i233? 2390 0

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

Answer: A) i Explanation: We know that, i2 = -1i3 = i2 x i = -1 x i = -ii4 = i2 x i2 = -1 x -1 = 1Hence, i233  =i4 x 58 + 1 = i232 x i1 = 1 x i = i

Q: 5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible? 2389 1

  • 1
    2880
    Correct
    Wrong
  • 2
    1440
    Correct
    Wrong
  • 3
    720
    Correct
    Wrong
  • 4
    2020
    Correct
    Wrong
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Answer : 1. "2880"
Explanation :

Answer: A) 2880 Explanation: There are total 9 places out of which 4 are even and rest 5 places are odd.   4 women can be arranged at 4 even places in 4! ways.   and 5 men can be placed in remaining 5 places in 5! ways.   Hence, the required number of permutations  = 4! x 5! = 24 x 120 = 2880

Q: A motorboat can go 10 miles downstream on a river in 20 min. It takes 30 min for this boat to go back at the same 10 miles. Find the speed of the current ? 2384 0

  • 1
    8 m/h
    Correct
    Wrong
  • 2
    5 m/h
    Correct
    Wrong
  • 3
    7 m/h
    Correct
    Wrong
  • 4
    6 m/h
    Correct
    Wrong
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Answer : 2. "5 m/h"
Explanation :

Answer: B) 5 m/h Explanation: As the distance travelled is constant, the time taken is inversely proportional to speed. Let 'u' be the speed of the current and 'v' be the speed of the boat. Speed of the boat downstream = v + u & upstream = v - u => v+u/v-u = 30/20 => v/u = 5 => v = 5u => v + u = 6u = 10/20/60 miles/hr => 6u = 30 m/h => u = 5 m/h

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