GATE प्रश्न और उत्तर का अभ्यास करें

प्र: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 1537 0

  • 1
    6/19
    सही
    गलत
  • 2
    3/10
    सही
    गलत
  • 3
    7/10
    सही
    गलत
  • 4
    6/17
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 2. "3/10"
व्याख्या :

Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.

प्र: 19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them? 1533 0

  • 1
    Rs. 1398.96
    सही
    गलत
  • 2
    Rs. 1457.09
    सही
    गलत
  • 3
    Rs. 1662.35
    सही
    गलत
  • 4
    Rs. 1536.07
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 4. "Rs. 1536.07"
व्याख्या :

Answer: D) Rs. 1536.07 Explanation: Let average expenditure was Rs. R 13 x 79 + 6x(R + 4) = 19R => R = Rs. 80.84 Total money = 19 x 80.84 = Rs. 1536.07.

प्र: What is 16 bit? 1527 0

  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर :
व्याख्या :

Anything larger and the computer would need to break the number into smaller pieces.   16-bit is a computer hardware device or software program capable of transferring 16 bits of data at a time. Today, 16-bit hardware and software has been replaced by 32-bit and 64-bit alternatives, which give the computer more memory to work with; increasing overall performance.   For example, early computer processors (e.g., 8088 and 80286) were 16-bit processors, meaning they were capable of working with 16-bit binary numbers (decimal number up to 65,535).

प्र: A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days. 1525 0

  • 1
    8
    सही
    गलत
  • 2
    6
    सही
    गलत
  • 3
    4
    सही
    गलत
  • 4
    2
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 4. "2"
व्याख्या :

Answer: D) 2 Explanation: Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.   Volume of tank = 20 × 15 × 5 = 1500 Cu.m.   Number of days required =1500/750 = 2 days.

प्र: 3/8 as a decimal 1525 0

  • 1
    1.375
    सही
    गलत
  • 2
    2.375
    सही
    गलत
  • 3
    0.375
    सही
    गलत
  • 4
    3.75
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 3. "0.375"
व्याख्या :

Answer: C) 0.375 Explanation: Expressing 3/8 as a decimal fraction: We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts. Then, it is 3/8 = 0.375 as a decimal fraction.   Other Method:: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125   => (3 x 125)/(8 x 125) = 375/1000 = 0.375.

प्र: Simplify the following : 4 15 × 3 13 + ? = 20% of 120 1522 0

  • 1
    10
    सही
    गलत
  • 2
    24
    सही
    गलत
  • 3
    36
    सही
    गलत
  • 4
    40
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 1. "10"
व्याख्या :

Answer: A) 10 Explanation: Given equation can be written as 215 x 103 + ? = 24=> 14 + ? = 24=> ? = 24 - 14=> ? = 10

प्र: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ? 1515 0

  • 1
    8.7 hrs
    सही
    गलत
  • 2
    5.2 hrs
    सही
    गलत
  • 3
    5 hrs
    सही
    गलत
  • 4
    7.5 hrs
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 4. "7.5 hrs"
व्याख्या :

Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs

प्र: Which results in an increase in power? 1493 0

  • 1
    doing more work in less time.
    सही
    गलत
  • 2
    doing less work in more time.
    सही
    गलत
  • 3
    doing less work in less time.
    सही
    गलत
  • 4
    doing more work in more time.
    सही
    गलत
  • उत्तर देखेंउत्तर छिपाएं
  • Workspace

उत्तर : 1. "doing more work in less time."
व्याख्या :

Answer: A) doing more work in less time. Explanation: Doing more work in less time, results in an increase in power to do a work.

      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