GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ? 1697 05b5cc6dfe4d2b4197774eabc
5b5cc6dfe4d2b4197774eabc- 15true
- 24false
- 37false
- 46false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 1. "5"
व्याख्या :
Answer: A) 5 Explanation: Let the number be x. Then, 3x2 - 4x = x + 50 3x2- 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5
प्र: P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ? 4202 05b5cc6dfe4d2b4197774eab7
5b5cc6dfe4d2b4197774eab7- 13 km/hrfalse
- 24 km/hrtrue
- 35 km/hrfalse
- 46 km/hrfalse
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "4 km/hr"
व्याख्या :
Answer: B) 4 km/hr Explanation: Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr. So, 24/x + 24/(7 - x) = 14 x2 - 98x + 168 = 0 (x - 3)(x - 4) = 0 => x = 3 or 4. Since, P is faster than Q, so P's speed = 4 km/hr and Q's speed = 3 km/hr.
प्र: Which team became the first team in history to win 100 T20 matches ? 5331 05b5cc6dee4d2b4197774eaa8
5b5cc6dee4d2b4197774eaa8- 1Sunrisers Hyderabadfalse
- 2Bangalore Royal Challengersfalse
- 3Kolkata Knight Ridersfalse
- 4Mumbai Indianstrue
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 4. "Mumbai Indians"
व्याख्या :
Answer: D) Mumbai Indians Explanation: Two times IPL champions Mumbai Indians (MI) reached a new milestone as they became the first team in history to win 100 T20 matches. The Mumbai outfit defeated Kolkata Knight Riders (KKR) at the Eden Gardens by 9 runs in their final match of the league stage of IPL 2017.
प्र: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ? 1680 05b5cc6dee4d2b4197774ea99
5b5cc6dee4d2b4197774ea99- 19 daysfalse
- 211 daysfalse
- 313 daystrue
- 415 daysfalse
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 3. "13 days"
व्याख्या :
Answer: C) 13 days Explanation: Ratio of times taken by A and B = 100 : 130 = 10 : 13.Suppose B takes x days to do the work. Then, 10 : 13 :: 23 : x => x = ( 23 x 13/10 ) => x = 299 /10. A's 1 day's work = 1/23 ;B's 1 day's work = 10/299 . (A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 . Therefore, A and B together can complete the work in 13 days.
प्र: When 0.46 is written in simplest form, the sum of the numerator and the denominator is ? 2098 05b5cc6dee4d2b4197774ea9e
5b5cc6dee4d2b4197774ea9e- 169false
- 273true
- 396false
- 441false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 2. "73"
व्याख्या :
Answer: B) 73 Explanation: 0.46 = 46/100 = 23/50. Sum of the numerator and denominator is 23 + 50 = 73
प्र: The second day of a month is Sunday, What will be the last day of the next month which has 31 days ? 6930 05b5cc6dee4d2b4197774ea94
5b5cc6dee4d2b4197774ea94- 1Fridayfalse
- 2Saturdayfalse
- 3Sundayfalse
- 4Can't be determinedtrue
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 4. "Can't be determined"
व्याख्या :
Answer: D) Can't be determined Explanation: We cannot find out the answer because the number of days of the current month is not given.
प्र: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ? 1769 05b5cc6dee4d2b4197774ea8f
5b5cc6dee4d2b4197774ea8f- 1Rs. 28,000true
- 2Rs. 18,000false
- 3Rs. 14,000false
- 4Rs. 8,000false
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 1. "Rs. 28,000"
व्याख्या :
Answer: A) Rs. 28,000 Explanation: Investments ratio is = 3:1Time period ratio is = 2:1 As they are proportional to gain ------Gain ratio of Vishal and raghu = 6:1 But given Raghu got Rs. 4000, =? 1 ----- 4000 7 ----- ? => Rs.28,000 The total gain = Rs.28,000
प्र: 10 boys can complete a work in 7 days and 10 girls take 14 days to complete the work. How many days will 5 boys and 10 girls take to complete the work ? 1232 05b5cc6dee4d2b4197774ea85
5b5cc6dee4d2b4197774ea85- 113 daysfalse
- 210 daysfalse
- 37 daystrue
- 416 daysfalse
- उत्तर देखेंउत्तर छिपाएं
- Workspace
- SingleChoice
उत्तर : 3. "7 days"
व्याख्या :
Answer: C) 7 days Explanation: 1 boy's 1 day work = 1/70 1 girl's 1 day work = 1/140 (5 boys + 10 girls)'s 1 day work = (5/70 + 10/140) = (1/14 + 1/14) = 1/7 5 boys and 10 girls will complete the work in 7 days.

