IIT JEE Practice Question and Answer

Q: A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share? 1380 0

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    Rs. 4050
    Correct
    Wrong
  • 2
    Rs. 2121
    Correct
    Wrong
  • 3
    Rs. 5040
    Correct
    Wrong
  • 4
    Rs. 3550
    Correct
    Wrong
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Answer : 1. "Rs. 4050"
Explanation :

Answer: A) Rs. 4050 Explanation: Let the ratio amount be 'p' 7p - 3p = 2700 4p = 2700 p = 675 R's Share = 675 × 6 = Rs. 4050

Q: Milk and water are mixed in a vessel A as 4:1 and in vessel B as 3:2. For vessel C, if one takes equal quantities from A and B, find the ratio of milk to water in C. 1379 0

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    1:9
    Correct
    Wrong
  • 2
    9:1
    Correct
    Wrong
  • 3
    3:7
    Correct
    Wrong
  • 4
    7:3
    Correct
    Wrong
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Answer : 4. "7:3"
Explanation :

Answer: D) 7:3 Explanation: Ratio of Milk and water in a vessel A is 4 : 1   Ratio of Milk and water in a vessel B is 3 : 2   Ratio of only milk in vessel A = 4 : 5   Ratio of only milk in vessel B = 3 : 5   Let 'x' be the quantity of milk in vessel C   Now as equal quantities are taken out from both vessels A & B   => 4/5     :     3/5               x   3/5-x          x - 4/5   => 35-xx-45 = 11 (equal quantities)   => x = 7/10   Therefore, quantity of milk in vessel C  = 7   => Water quantity = 10 - 7 = 3   Hence the ratio of milk & water in vessel 3 is 7 : 3

Q: Name the two Indian companies that have been named in the list of world's most ethical companies by American think tank Ethisphere Institute. 1379 0

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    Dabur and Tata
    Correct
    Wrong
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    Mahindra and Tata
    Correct
    Wrong
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    Patanjali and Dabur
    Correct
    Wrong
  • 4
    Tata Steel and Wipro
    Correct
    Wrong
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Answer : 4. "Tata Steel and Wipro"
Explanation :

Answer: D) Tata Steel and Wipro Explanation: Two Indian companies, Tata SteelBSE and Wipro have been named in the list of world’s most ethical companies by American think tank Ethisphere Institute. Ethisphere honors those companies who recognize their role in society to influence and drive positive change in the business community and organizations around the world. In 2017, 124 honorees were spanning five continents, 19 countries, and 52 industry sectors. Wipro is one of the two information technology companies named in the list, the other being Xerox Corporation.

Q: Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 1379 0

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    14.69 cm
    Correct
    Wrong
  • 2
    15.69 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    16.42 cm
    Correct
    Wrong
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Answer : 2. "15.69 cm"
Explanation :

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO² = AB² + OB² r² = 14² + x² We use the Pythagorean theorem on right triangle DCO DO² = CD² + OC² We see that OC = OB+BC = x+5, so r² = 10² + (x+5)² So we have a system of two equations: r² = 14² + x² r² = 10² + (x+5)² Since both left sides equal r², set the right sidesequal to each other. 14² + x² = 10² + (x+5)² 196 + x² = 100 + x² + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r² = 14² + x² r² = 196 + (7.1)² r² = 196 + 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

Q: The wavelength of a wave is the distance between 1379 0

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    Crest and Trough
    Correct
    Wrong
  • 2
    Crest and Crest
    Correct
    Wrong
  • 3
    Trough and Trough
    Correct
    Wrong
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    Both B & C
    Correct
    Wrong
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Answer : 4. "Both B & C"
Explanation :

Answer: D) Both B & C Explanation: Distance between two Consecutive Crests or two Consecutive Troughs is called Wavelength. But the distance between crest and adjacent trough is half the wavelength. That is the distance between adjacent crest and trough is called Half the wavelength.

Q: What do you do to improve your knowledge? 1378 0

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Answer :
Explanation :

When an interviewer asks "What do you do to improve your knowledge", because it reflects the major thought process of a person and the way a person gains knowledge and the level to which one is accustomed to the current happenings in the world. In my sense knowledge is not very much obtained through books or any websites. We can give some exercise to the brain so that we can gain knowledge. It is essential to update oneself in order to cope up with this competitive world. First of all you should keep yourself updated with the new technological developments so that if the interviewer asks something concerning the current affairs, you can answer them.You can say that you visit various forums, blogs to keep yourself updated and improve your knowledge. It will be helpful if you have experience of such forums or blogs from before so that you can create a better impression in the minds of the interviewers. It is said that interacting with people of different ages, different communities and different education levels a person can fetch huge knowledge.

Q: A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ? 1378 0

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    32 hrs
    Correct
    Wrong
  • 2
    24 hrs
    Correct
    Wrong
  • 3
    28 hrs
    Correct
    Wrong
  • 4
    26 hrs
    Correct
    Wrong
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Answer : 3. "28 hrs"
Explanation :

Answer: C) 28 hrs Explanation: 1/K + 1/L + 1/M = 1/8 (Given)Also given that K = 2L and L = 2M=> 1/2L + 1/L + 2/L = 1/8=> (1 + 2 + 4)/2L = 1/8=> 2L/7 = 8=> L = 28 hours.

Q: A contractor undertake to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged so that the work may finish in time ? 1377 0

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    64
    Correct
    Wrong
  • 2
    62
    Correct
    Wrong
  • 3
    58
    Correct
    Wrong
  • 4
    56
    Correct
    Wrong
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Answer : 4. "56"
Explanation :

Answer: D) 56 Explanation: Days remaining 124 – 64 = 60 days Remaining work = 1 - 2/3 = 1/3 Let men required men for working remaining days be 'm' So men required = (120 x 64)/2 = (m x 60)/1 => m = 64 Men discharge = 120 – 64 = 56 men.

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