GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: One fathom is equal to how many meters ? 1833 05b5cc6bee4d2b4197774d9b0
5b5cc6bee4d2b4197774d9b0- 11.7699false
- 22.0210false
- 31.8288true
- 42.1212false
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उत्तर : 3. "1.8288"
व्याख्या :
Answer: C) 1.8288 Explanation: One fathom = 1.8288 meters = 6 feet A fathom is a unit of length used especially for measuring the depth of water.
प्र: What is the value of P in the following Equation ? 192.5 × 19p = 197 3450 15b5cc6bee4d2b4197774d9a6
5b5cc6bee4d2b4197774d9a6- 13.9false
- 24.1false
- 33.7false
- 44.5true
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उत्तर : 4. "4.5"
व्याख्या :
Answer: D) 4.5 Explanation: Given equation is 192.5 ×19p = 197 Here it is in the form of am × an = am+n Here m = 2.5 , n = p, m+n = 7 => 2.5 + p = 7 => p = 7 - 2.5 => p = 4.5
प्र: What should come in place of x in the following equation? x128 = 162x 1516 05b5cc6bee4d2b4197774d9ab
5b5cc6bee4d2b4197774d9ab- 113false
- 212true
- 317false
- 416false
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उत्तर : 2. "12"
व्याख्या :
Answer: B) 12 Explanation: x128 = 162x Then x2 = 162x128 = Sqrt of 82 x 62 x 32 = 8 x 6 x 3 x2 = 144. x = 12.
प्र: The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan? 3752 05b5cc6bee4d2b4197774d992
5b5cc6bee4d2b4197774d992- 16548false
- 25667false
- 37556true
- 48457false
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उत्तर : 3. "7556"
व्याख्या :
Answer: C) 7556 Explanation: Let ratio of the incomes of Pavan and Amar be 4x and 3x and Ratio of their expenditures be 3y and 2y 4x - 3y = 1889 ......... I and 3x - 2y = 1889 ...........II I and II y = 1889 and x = 1889 Pavan's income = 7556
प्र: If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___? 2889 05b5cc6bee4d2b4197774d997
5b5cc6bee4d2b4197774d997- 114 × 13 × 13!false
- 215 × 14 × 14!false
- 314 × 12 × 12!false
- 415 × 13 × 13!true
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उत्तर : 4. "15 × 13 × 13!"
व्याख्या :
Answer: D) 15 × 13 × 13! Explanation: 15! - 14! - 13! = (15 × 14 × 13!) - (14 × 13!) - (13!) = 13! (15 × 14 - 14 - 1) = 13! (15 × 14 - 15) = 13! x 15 (14 - 1) = 15 × 13 × 13!
प्र: In what time will Rs. 1860 amount to Rs. 2641.20 at simple interest 12% per annum? 2183 05b5cc6bee4d2b4197774d988
5b5cc6bee4d2b4197774d988- 12.9 yearsfalse
- 23.5 yearstrue
- 34.2 yearsfalse
- 44.7 yearsfalse
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उत्तर : 2. "3.5 years"
व्याख्या :
Answer: B) 3.5 years Explanation: Given that Rs. 1860 will become Rs. 2641.20 at 12% => Simple Interest = 2641.20 - 1860 = Rs. 781.20 We know I = PTR/100 => 781.20 x 100 = 1860 x T x 12 => T = 78120/1860x12 => T = 78120/22320 => T = 3.5 years.
प्र: In a mixture of 240 lt. water is 20% and rest is Milk. What quantity of mixture should be taken out and replaced with water so that water becomes 40%? 1579 05b5cc6bee4d2b4197774d98d
5b5cc6bee4d2b4197774d98d- 160 littrue
- 255 litfalse
- 345 litfalse
- 450 litfalse
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उत्तर : 1. "60 lit"
व्याख्या :
Answer: A) 60 lit Explanation:
प्र: Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to ___ ? 2037 05b5cc6bee4d2b4197774d983
5b5cc6bee4d2b4197774d983- 13.7false
- 22.7false
- 33.6false
- 42.9true
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उत्तर : 4. "2.9"
व्याख्या :
Answer: D) 2.9 Explanation: xz = y2 10(0.48z) = 10(2 x 0.70) = 101.40 0.48z = 1.40 z = 140/18 = 35/12 = 2.9 (approx.)