GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Solve the Number Puzzle ? 1301 05b5cc6c9e4d2b4197774dfb6
5b5cc6c9e4d2b4197774dfb6- 120false
- 224false
- 326true
- 430false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 3. "26"
व्याख्या :
Answer: C) 26 Explanation: Here the puzzle follows the logic that Right side number = sum of the number on the left side and the previous number on the left side => 6 = 4+2 => 10 = 6+4 => ? = 16+10 = 26.
प्र: A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ? 1300 05b5cc6d4e4d2b4197774e5b1
5b5cc6d4e4d2b4197774e5b1- 132.5 hrsfalse
- 229.25 hrstrue
- 330.30 hrsfalse
- 431 hrsfalse
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "29.25 hrs"
व्याख्या :
Answer: B) 29.25 hrs Explanation: Let the leak will empty the tank in x hrs Then, 1/9 - 1/x = 1/13 x = 29.25 hrs
प्र: 125% as a Fraction? 1300 05b5cc6aae4d2b4197774cf7f
5b5cc6aae4d2b4197774cf7f- 11/4false
- 23/4false
- 35/4true
- 47/4false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 3. "5/4"
व्याख्या :
Answer: C) 5/4 Explanation: Literally any percentage means divide by 100. So 125% = 125100. That can be reduced to 5/4. To convert to a decimal, you can do long division, dividing 5 into 4.
प्र: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1299 05b5cc701e4d2b4197774f17a
5b5cc701e4d2b4197774f17a- 1Rs. 2000true
- 2Rs. 2100false
- 3Rs. 1900false
- 4Rs. 2150false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 1. "Rs. 2000"
व्याख्या :
Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000
प्र: You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ? 1299 05b5cc745e4d2b4197774fa4a
5b5cc745e4d2b4197774fa4a- 125 kmphfalse
- 224 kmphtrue
- 326 kmphfalse
- 422 kmphfalse
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "24 kmph"
व्याख्या :
Answer: B) 24 kmph Explanation: Average speed=total distance/total timeLet distance to store be Kthen, total time =(K/20)+(K/30)=K/12and, total time =(2K)so average speed= 2K / (K/12) = 24kmph.
प्र: Order of basicity of amines in gaseous state? 1298 05b5cc67ee4d2b4197774c274
5b5cc67ee4d2b4197774c274- 12'> 1'> 3' > NH3false
- 23' > 2' > 1'> NH3true
- 31' > 2' > 3'> NH3false
- 42'> 3'> 1' > NH3false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "3' > 2' > 1'> NH3"
व्याख्या :
Answer: B) 3' > 2' > 1'> NH3 Explanation: The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding. So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic. But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.
प्र: A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ? 1296 05b5cc6c3e4d2b4197774dc86
5b5cc6c3e4d2b4197774dc86- 188.01 litfalse
- 287.48 littrue
- 387.51 litfalse
- 487.62 litfalse
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "87.48 lit"
व्याख्या :
Answer: B) 87.48 lit Explanation: For these type of problems, Quantity of Diesel remained = q1-pqn Here p = 12 , q = 120 => 1201-121203 = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.
प्र: 3 : 12 :: 5 : ? 1296 05b5cc6b9e4d2b4197774d702
5b5cc6b9e4d2b4197774d702- 117false
- 230true
- 326false
- 432false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "30"
व्याख्या :
Answer: B) 30 Explanation: 332 + 3 = 12552 + 5 = 30

