GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: 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 05b5cc741e4d2b4197774f9d6
5b5cc741e4d2b4197774f9d6- 16/19false
- 23/10true
- 37/10false
- 46/17false
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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 05b5cc6bae4d2b4197774d7a3
5b5cc6bae4d2b4197774d7a3- 1Rs. 1398.96false
- 2Rs. 1457.09false
- 3Rs. 1662.35false
- 4Rs. 1536.07true
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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 05b5cc65ee4d2b4197774be5e
5b5cc65ee4d2b4197774be5e- उत्तर देखेंउत्तर छिपाएं
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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 Today, 16-bit hardware and software has been replaced by 32-bit and 64-bit alternatives, which give the computer more memory to work with; increasing overall performance.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 05b5cc6c5e4d2b4197774dd82
5b5cc6c5e4d2b4197774dd82- 18false
- 26false
- 34false
- 42true
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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 05b5cc658e4d2b4197774bda4
5b5cc658e4d2b4197774bda4- 11.375false
- 22.375false
- 30.375true
- 43.75false
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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 05b5cc6a8e4d2b4197774ce71
5b5cc6a8e4d2b4197774ce71- 110true
- 224false
- 336false
- 440false
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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 05b5cc6dde4d2b4197774ea05
5b5cc6dde4d2b4197774ea05- 18.7 hrsfalse
- 25.2 hrsfalse
- 35 hrsfalse
- 47.5 hrstrue
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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 05b5cc669e4d2b4197774bf87
5b5cc669e4d2b4197774bf87- 1doing more work in less time.true
- 2doing less work in more time.false
- 3doing less work in less time.false
- 4doing more work in more time.false
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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.

