GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: If log72 = m, then log4928 is equal to ? 2973 05b5cc761e4d2b4197774fd5d
5b5cc761e4d2b4197774fd5d- 11/(1+2m)false
- 2(1+2m)/2true
- 32m/(2m+1)false
- 4(2m+1)/2mfalse
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उत्तर : 2. "(1+2m)/2"
व्याख्या :
Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4 = 12+122log72= 12+log72= 12 + m= 1+2m2.
प्र: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2973 05b5cc6d7e4d2b4197774e705
5b5cc6d7e4d2b4197774e705- 159false
- 260true
- 361false
- 464false
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उत्तर : 2. "60"
व्याख्या :
Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9 A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways. Number of even numbers = ⁵P₃ = 60.
प्र: Find the Odd One Out? 4, 6, 12, 30, 81, 315. 2971 05b5cc6aae4d2b4197774cf56
5b5cc6aae4d2b4197774cf56- 16false
- 212false
- 381true
- 4315false
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उत्तर : 3. "81"
व्याख्या :
Answer: C) 81 Explanation: Given the number series is 4, 6, 12, 30, 81, 315. Here it follows a pattern that 4 4 x 1.5 = 6 6 x 2 = 12 12 x 2.5 = 30 30 x 3 = 90 not equals to 81 90 x 3.5 = 315 Hence the odd one in the series is 81.
प्र: What is the term used in tennis when the score is 40-40? 2968 05b5cc67be4d2b4197774c20e
5b5cc67be4d2b4197774c20e- 1Acefalse
- 2Ledfalse
- 3Deucetrue
- 4Tiefalse
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उत्तर : 3. "Deuce"
व्याख्या :
Answer: C) Deuce Explanation: When both sides have won the same number of points then: when each side has won one, or two, points, the score is described as "15-all" and "30-all" (or "15-up" and "30-up"), respectively. However, if each player has won three points, the score is called as "deuce", not "40–all". From that point on in the game, whenever the score is tied, it is described as "deuce", regardless of how many points have been played.
प्र: What building has the most stories? 2968 05b5cc64ae4d2b4197774bbf6
5b5cc64ae4d2b4197774bbf6- उत्तर देखेंउत्तर छिपाएं
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उत्तर :
व्याख्या :
A Libraury. It has more number of story books in it to read.
प्र: Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes? 2964 05b5cc60ae4d2b4197774b5b5
5b5cc60ae4d2b4197774b5b5- 15 kmphtrue
- 26 kmphfalse
- 37.5 kmphfalse
- 48 kmphfalse
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उत्तर : 1. "5 kmph"
व्याख्या :
Answer: A) 5 kmph Explanation: Let p be the speed of man in kmph According to the given data in the question, Distance travelled by bus in 10 min with 20 kmph == Distance travelled by man in 8 min with (20 + p) kmph in opposite direction => 20 x 10/60 = 8/60 (20 + p) => 200 = 160 + 8p => p = 40/8 = 5 kmph.
प्र: The last two digits of 2151415? 2957 05b5cc6b9e4d2b4197774d6cb
5b5cc6b9e4d2b4197774d6cb- 181false
- 261false
- 391false
- 451true
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उत्तर : 4. "51"
व्याख्या :
Answer: D) 51 Explanation: Unit digit of this expression is always 1 as the base ends with 1. For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit. i.e, tenth place digit in 2151 is 5 and tenth place digit in power 415 is 1 And the units digit in the product of 5 x 1 = 5 Therefore, last two digits of 2151415 is 51.
प्र: Processor's speed of a computer is measured in 2956 05b5cc683e4d2b4197774c2db
5b5cc683e4d2b4197774c2db- 1Hertztrue
- 2Baudfalse
- 3MIPSfalse
- 4BPSfalse
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उत्तर : 1. "Hertz"
व्याख्या :
Answer: A) Hertz Explanation: CPU speed is the central factor in a computer's performance. And this CPU speed depends on the processor in the CPU chip. In a computer, clock speed refers to the number of pulses per second generated by an oscillator that sets the tempo for the processor. Clock speed is usually measured in Hertz (Hz). But now-a-days, a pure processor's performance is measured in MIPS (Millions of Instructions Per Second). As here in the question, how a processor's speed is measured is asked and it is Hertz. Hence, Processor's speed of a computer is measured in Hertz(Hz) [MHz, GHz].

