GATE प्रश्न और उत्तर का अभ्यास करें

प्र: 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 0

  • 1
    5
    सही
    गलत
  • 2
    4
    सही
    गलत
  • 3
    7
    सही
    गलत
  • 4
    6
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    3 km/hr
    सही
    गलत
  • 2
    4 km/hr
    सही
    गलत
  • 3
    5 km/hr
    सही
    गलत
  • 4
    6 km/hr
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    Sunrisers Hyderabad
    सही
    गलत
  • 2
    Bangalore Royal Challengers
    सही
    गलत
  • 3
    Kolkata Knight Riders
    सही
    गलत
  • 4
    Mumbai Indians
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    9 days
    सही
    गलत
  • 2
    11 days
    सही
    गलत
  • 3
    13 days
    सही
    गलत
  • 4
    15 days
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    69
    सही
    गलत
  • 2
    73
    सही
    गलत
  • 3
    96
    सही
    गलत
  • 4
    41
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    Friday
    सही
    गलत
  • 2
    Saturday
    सही
    गलत
  • 3
    Sunday
    सही
    गलत
  • 4
    Can't be determined
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    Rs. 28,000
    सही
    गलत
  • 2
    Rs. 18,000
    सही
    गलत
  • 3
    Rs. 14,000
    सही
    गलत
  • 4
    Rs. 8,000
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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 0

  • 1
    13 days
    सही
    गलत
  • 2
    10 days
    सही
    गलत
  • 3
    7 days
    सही
    गलत
  • 4
    16 days
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

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.

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई

      त्रुटि की रिपोर्ट करें

    कृपया संदेश दर्ज करें
    त्रुटि रिपोर्ट सफलतापूर्वक जमा हुई