IIT JEE Practice Question and Answer
8Q: 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 05b5cc6bfe4d2b4197774d9ec
5b5cc6bfe4d2b4197774d9ec- 1Rs. 4050true
- 2Rs. 2121false
- 3Rs. 5040false
- 4Rs. 3550false
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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 05b5cc6c7e4d2b4197774dec8
5b5cc6c7e4d2b4197774dec8- 11:9false
- 29:1false
- 33:7false
- 47:3true
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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 05b5cc715e4d2b4197774f440
5b5cc715e4d2b4197774f440- 1Dabur and Tatafalse
- 2Mahindra and Tatafalse
- 3Patanjali and Daburfalse
- 4Tata Steel and Wiprotrue
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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 05b5cc73ae4d2b4197774f8f7
5b5cc73ae4d2b4197774f8f7- 114.69 cmfalse
- 215.69 cmtrue
- 318.65 cmfalse
- 416.42 cmfalse
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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 05b5cc6b0e4d2b4197774d283
5b5cc6b0e4d2b4197774d283- 1Crest and Troughfalse
- 2Crest and Crestfalse
- 3Trough and Troughfalse
- 4Both B & Ctrue
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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 05b5cc6a5e4d2b4197774ccc5
5b5cc6a5e4d2b4197774ccc5- Show AnswerHide Answer
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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 05b5cc6dfe4d2b4197774eaee
5b5cc6dfe4d2b4197774eaee- 132 hrsfalse
- 224 hrsfalse
- 328 hrstrue
- 426 hrsfalse
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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 05b5cc6cce4d2b4197774e16c
5b5cc6cce4d2b4197774e16c- 164false
- 262false
- 358false
- 456true
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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.

