IIT JEE Practice Question and Answer
8Q: 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? 1084 05b5cc73ae4d2b4197774f8f7
5b5cc73ae4d2b4197774f8f7- 114.69 cmfalse
- 215.69 cmtrue
- 318.65 cmfalse
- 416.42 cmfalse
- Show Answer
- Workspace
- SingleChoice
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: Solve the Logical Puzzle ? 1084 05b5cc6c2e4d2b4197774dbb9
5b5cc6c2e4d2b4197774dbb9- 12false
- 24true
- 38false
- 40false
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "4"
Explanation :
Answer: B) 4 Explanation:
Q: I go in hard. I come out soft. You blow me hard. What am I? 1083 05b5cc632e4d2b4197774b9d6
5b5cc632e4d2b4197774b9d6- Show Answer
- Workspace
- SingleChoice
Answer :
Explanation :
Gum.
Q: The average salinity of seawater is 1082 05b5cc675e4d2b4197774c0e7
5b5cc675e4d2b4197774c0e7- 135%false
- 23.5%true
- 33%false
- 42.5%false
- Show Answer
- Workspace
- SingleChoice
Answer : 2. "3.5%"
Explanation :
Answer: B) 3.5% Explanation: Seawater or salt water is water from a sea or ocean. On average, seawater in the world's oceans has a salinity of approximately 3.5% or 35 parts per thousand. This means that for every 1 litre (1000 mL) of seawater there are 35 grams of salts dissolved in it. Hence, The average salinity of seawater is 3.5%.
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. 1082 05b5cc715e4d2b4197774f440
5b5cc715e4d2b4197774f440- 1Dabur and Tatafalse
- 2Mahindra and Tatafalse
- 3Patanjali and Daburfalse
- 4Tata Steel and Wiprotrue
- Show Answer
- Workspace
- SingleChoice
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: FIFA 2018 World Cup won by 1081 05b5cc611e4d2b4197774b64b
5b5cc611e4d2b4197774b64b- 1Croatiafalse
- 2Brazilfalse
- 3Argentinafalse
- 4Francetrue
- Show Answer
- Workspace
- SingleChoice
Answer : 4. "France"
Explanation :
Answer: D) France Explanation: France national football team has won the FIFA 2018 - an international football tournament contested by the men's national teams of the member associations of FIFA once every four years. It took place in Russia from 14 June to 15 July 2018.
Q: Which international Airport Ltd has bagged the National Award for 'Excellence' in Energy Management ? 1080 05b5cc6c7e4d2b4197774decd
5b5cc6c7e4d2b4197774decd- 1New Delhifalse
- 2Lucknowfalse
- 3Hyderabadtrue
- 4Mumbaifalse
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "Hyderabad"
Explanation :
Answer: C) Hyderabad Explanation:
Q: Which of the following is known as the Electronic City of India? 1080 05b5cc6a2e4d2b4197774cba3
5b5cc6a2e4d2b4197774cba3- 1Hyderabadfalse
- 2Mumbaifalse
- 3Bengalurutrue
- 4Gurgaonfalse
- Show Answer
- Workspace
- SingleChoice
Answer : 3. "Bengaluru"
Explanation :
Answer: C) Bengaluru Explanation: Bengaluru city is known as the Electronic City of India. Because Electronic City is an IT hub in Anekal taluk of Bengaluru, Karnataka, India. It is one of India's largest electronic industrial parks in 3 phases i.e, in Konappana Agrahara and Doddathogur villages, Bengaluru.