GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: 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? 1294 05b5cc6bfe4d2b4197774d9ec
5b5cc6bfe4d2b4197774d9ec- 1Rs. 4050true
- 2Rs. 2121false
- 3Rs. 5040false
- 4Rs. 3550false
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उत्तर : 1. "Rs. 4050"
व्याख्या :
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
प्र: 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? 1294 05b5cc73ae4d2b4197774f8f7
5b5cc73ae4d2b4197774f8f7- 114.69 cmfalse
- 215.69 cmtrue
- 318.65 cmfalse
- 416.42 cmfalse
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उत्तर : 2. "15.69 cm"
व्याख्या :
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
प्र: Who among the following took over as the 25th Director General of the Border Roads(DGBR) ? 1293 05b5cc761e4d2b4197774fd49
5b5cc761e4d2b4197774fd49- 1Lt. Gen. Suresh Sharmafalse
- 2Lt. Gen. David R. Syiemliehfalse
- 3Lt. Gen. Srikanth Mishrafalse
- 4Lt. Gen. Sanjeev Kumar Shrivastavatrue
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उत्तर : 4. "Lt. Gen. Sanjeev Kumar Shrivastava"
व्याख्या :
Answer: D) Lt. Gen. Sanjeev Kumar Shrivastava Explanation: Lt. Gen. Sanjeev Kumar Shrivastava took over as the 25th Director General of the Border Roads (DGBR). He has replaced Lt. Gen. Suresh Sharma. Prior to it, he was holding the appointment of Director General Combat Engineers at Integrated Headquarters of Ministry of Defence(Army).
प्र: Which of the following is known as the Electronic City of India? 1291 05b5cc6a2e4d2b4197774cba3
5b5cc6a2e4d2b4197774cba3- 1Hyderabadfalse
- 2Mumbaifalse
- 3Bengalurutrue
- 4Gurgaonfalse
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उत्तर : 3. "Bengaluru"
व्याख्या :
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.
प्र: How many words can be formed with or without meaning by using three letters out of k, l, m, n, o without repetition of alphabets. 1290 05b5cc6abe4d2b4197774d058
5b5cc6abe4d2b4197774d058- 160true
- 2120false
- 3240false
- 430false
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उत्तर : 1. "60"
व्याख्या :
Answer: A) 60 Explanation: Given letters are k, l, m, n, o = 5 number of letters to be in the words = 3 Total number of words that can be formed from these 5 letters taken 3 at a time without repetation of letters = 5P3 ways. ⇒ 5P3 = 5 x 4 x 3 = 60 words.
प्र: Solve the Logical Puzzle ? 1289 05b5cc6c2e4d2b4197774dbb9
5b5cc6c2e4d2b4197774dbb9- 12false
- 24true
- 38false
- 40false
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उत्तर : 2. "4"
व्याख्या :
Answer: B) 4 Explanation:
प्र: I am always infront of you, but you will never see me. Who am I? 1289 05b5cc669e4d2b4197774bf8c
5b5cc669e4d2b4197774bf8c- 1Mirrorfalse
- 2Shadowfalse
- 3Futuretrue
- 4None of the abovefalse
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उत्तर : 3. "Future"
व्याख्या :
Answer: C) Future Explanation: Yes, future is always infront of us, but no one can see it.
प्र: Microbial Type Culture Collection Centre is situated at 1289 05b5cc62ae4d2b4197774b8cd
5b5cc62ae4d2b4197774b8cd- 1Chandigarhtrue
- 2New Delhifalse
- 3Hyderabadfalse
- 4Bangalorefalse
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उत्तर : 1. "Chandigarh"
व्याख्या :
Answer: A) Chandigarh Explanation:

