IIT JEE प्रश्न और उत्तर का अभ्यास करें
8प्र: 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ? 1575 05b5cc74fe4d2b4197774faef
5b5cc74fe4d2b4197774faef- 132.1 kmfalse
- 215.23 kmfalse
- 33.75 kmtrue
- 432.1 mfalse
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उत्तर : 3. "3.75 km"
व्याख्या :
Answer: C) 3.75 km Explanation: Let 'd' be the distance between A and BK -time = d/10 + d/9 = 19d/90 hoursL -time = 2d/12 = d/6 hoursWe know that, 10 min = 1/6 hoursThus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6=> (19d-15d)/90 = 1/6=> 4d/90 = 1/6Thus,d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km.
प्र: What is the Probability of all cars not clashing each other ? 1574 05b5cc6c8e4d2b4197774df05
5b5cc6c8e4d2b4197774df05- 11/8false
- 20false
- 31/4true
- 41false
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उत्तर : 3. "1/4"
व्याख्या :
Answer: C) 1/4 Explanation: Non collision can happen only when all the cars move in same direction. That is either all cars moving in clockwise direction or all cars moving in anti clockwise direction.P(all cars not colliding) = P(all cars moving in the same direction) = P(all cars moving in clockwise direction) + P(all cars moving in anticlockwise direction) = [p(A --> C) x p(C --> B) x p(B --> A)] + [p(A --> B) x p(B --> C) x p(C --> A)] = [1/2 x 1/2 x 1/2] + [1/2 x 1/2 x 1/2] = 1/8 + 1/8 = 1/4
प्र: Sagarmatha friendship is between which two countries ? 1574 05b5cc6cfe4d2b4197774e30d
5b5cc6cfe4d2b4197774e30d- 1Pakistan & Chinafalse
- 2Nepal & Indiafalse
- 3India & Chinafalse
- 4China & Nepaltrue
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उत्तर : 4. "China & Nepal"
व्याख्या :
Answer: D) China & Nepal Explanation: The first ever joint military exercise named 'Sagarmatha Friendship-2017' is all set between Nepal and China. Sagarmatha is the Nepali name for Mt Everest, which stands in between both the countries.
प्र: Find the simple interest on Rs.600 for 11 months at 5 paisa per month ? 1574 05b5cc6e3e4d2b4197774ec93
5b5cc6e3e4d2b4197774ec93- 1Rs. 30false
- 2Rs. 3.30true
- 3Rs. 33false
- 4Rs. 330false
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उत्तर : 2. "Rs. 3.30"
व्याख्या :
Answer: B) Rs. 3.30 Explanation: I = (600x11x5)/100 = 330 Paise = Rs. 3.30
प्र: The G-7 is a group consisting of ? 1574 05b5cc6d5e4d2b4197774e5f2
5b5cc6d5e4d2b4197774e5f2- 1the heads of the states of US, UK, France, Germany, Italy, Canada and Japanfalse
- 2the heads of the states of US, UK, France, Germany, Russia, Italy and Japanfalse
- 3the finance ministers of US, UK, France, Germany, Italy, Canada and Japantrue
- 4the heads of the states of US, UK, France, Germany, Russia, Canada and Japanfalse
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उत्तर : 3. "the finance ministers of US, UK, France, Germany, Italy, Canada and Japan"
व्याख्या :
Answer: C) the finance ministers of US, UK, France, Germany, Italy, Canada and Japan Explanation: The finance ministers of US, UK, France, Germany, Italy, Canada and Japan is called as G-7 group.
प्र: Vikram Sarabhai Space Centre is located at 1574 05b5cc6b6e4d2b4197774d5b2
5b5cc6b6e4d2b4197774d5b2- 1Thiruvananthapuramtrue
- 2Punefalse
- 3Sriharikotafalse
- 4Ahmedabadfalse
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उत्तर : 1. "Thiruvananthapuram"
व्याख्या :
Answer: A) Thiruvananthapuram Explanation: Vikram Sarabhai Space Centre is located at Thiruvananthapuram, Kerala. This is the lead centre of ISRO responsible for the design and development of launch vehicle technology focusing on rocket and space vehicles for India's satellite programme.
प्र: The percentage of irrigated land in India is about 1574 05b5cc6bae4d2b4197774d7b2
5b5cc6bae4d2b4197774d7b2- 166%false
- 235%true
- 371%false
- 422%false
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उत्तर : 2. "35%"
व्याख्या :
Answer: B) 35% Explanation: According to World Bank Indicator India - Land use: Agriculture Land - 1797090 sq. Km (about 60.4%). Forest Area - 677598 sq. Km. (about 22.08%). Agriculture Irrigated land - 35 %.
प्र: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? 1573 05b5cc736e4d2b4197774f841
5b5cc736e4d2b4197774f841- 155.12 cmfalse
- 222.54 cmfalse
- 342.51 cmfalse
- 438.57 cmtrue
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उत्तर : 4. "38.57 cm"
व्याख्या :
Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

