GATE Practice Question and Answer
8Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3500 05b5cc709e4d2b4197774f267
5b5cc709e4d2b4197774f267- 163 and 49true
- 264 and 48false
- 362 and 46false
- 464 and 49false
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Answer : 1. "63 and 49"
Explanation :
Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49
Q: An Excel Workbook is a collection of 3499 15b5cc636e4d2b4197774b9f5
5b5cc636e4d2b4197774b9f5- 1Chartsfalse
- 2Worksheetsfalse
- 3Both A & Btrue
- 4None of the abovefalse
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Answer : 3. "Both A & B"
Explanation :
Answer: C) Both A & B Explanation: An M.S Excel Workbook is a collection of both Worksheets and Charts.
Q: If the third day of a month is Tuesday, which of the following would be the 4th day before the 27th day of that month? 3491 15b5cc7f3e4d2b41977751ed9
5b5cc7f3e4d2b41977751ed9- 1Tuesdayfalse
- 2Mondaytrue
- 3Wednesdayfalse
- 4Sundayfalse
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Answer : 2. "Monday"
Explanation :
Answer: B) Monday Explanation: Dates on which Tuesday fall are 3,10,17, and 24 Hence, the 27th day of the month will be (Tuesday + 3 days=)Friday Required day of the month = Friday - 4 = Monday
Q: On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ? 3469 05b5cc741e4d2b4197774f981
5b5cc741e4d2b4197774f981- 184 yearstrue
- 272 yearsfalse
- 382 yearsfalse
- 464 yearsfalse
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Answer : 1. "84 years"
Explanation :
Answer: A) 84 years Explanation: Let the age of ruler is x so that of son = x/2 (given)Now according to the given condition (x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x=> x = 84
Q: The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city? 3467 05b5cc6bee4d2b4197774d9c9
5b5cc6bee4d2b4197774d9c9- 14,12,480false
- 23,67,500true
- 35,44,700false
- 42,98,948false
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Answer : 2. "3,67,500"
Explanation :
Answer: B) 3,67,500 Explanation: Let the total population be 'p' Given ratio of male and female in a city is 7 : 8 In that percentage of children among male and female is 25% and 20% => Adults male and female % = 75% & 80% But given adult females is = 156800 => 80%(8p/15) = 156800 => 80 x 8p/15 x 100 = 156800 => p = 156800 x 15 x 100/80 x 8 => p = 367500 Therefore, the total population of the city = p = 367500
Q: 80% of 900 + 162 x 4 x ? = 113 - 99 3463 05b5cc669e4d2b4197774bf6d
5b5cc669e4d2b4197774bf6d- 10.5true
- 21false
- 34false
- 40false
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Answer : 1. "0.5"
Explanation :
Answer: A) 0.5 Explanation: 80x900/100 + 256 x 4 x ? = 1331 - 99 720 + 1024 x ? = 1232 ? = 1232 - 720/1024 ? = 512/1024 = 0.5 ? = 0.5
Q: Choose the word which gives best meaning to the sentence from the given options. His recent success ______ him more arrogant than what he used to be 3463 05b5cc745e4d2b4197774fa45
5b5cc745e4d2b4197774fa45- 1makefalse
- 2have makefalse
- 3was makingfalse
- 4has madetrue
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Answer : 4. "has made"
Explanation :
Answer: D) has made Explanation: HIS RECENT SUCCESS HAS MADE HIM MORE ARROGANT THAN WHAT HE USED.
Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 3458 05b5cc71ee4d2b4197774f57c
5b5cc71ee4d2b4197774f57c- 14/3 hrsfalse
- 22/3 hrstrue
- 33/2 hrsfalse
- 41/4 hrsfalse
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Answer : 2. "2/3 hrs"
Explanation :
Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour