GATE Practice Question and Answer
8Q: A thief steals half the total number of loaves of bread plus 1/2 loaf from a bakery. A second thief steals half the remaining number of loaves plus 1/2 loaf and so on. After the 5th thief has stolen there are no more loaves left in the bakery. What was the total number of loaves did the bakery have at the beginning ? 3065 05b5cc70ee4d2b4197774f33c
5b5cc70ee4d2b4197774f33c- 121false
- 211false
- 317false
- 431true
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Answer : 4. "31"
Explanation :
Answer: D) 31 Explanation: Let y be the total number of loavesa be the remaining loaves after 1st thiefb be the remaining loaves after 2nd thiefand c, d..so on after 3 and 4 the = 0 be the remaining loaves after 5th thief a = y - (y/2 + 1/2)= y/2 - 1/2 b = a - (a/2 + 1/2)= a/2 - 1/2 c = b - (b/2 + 1/2)= b/2 - 1/2 d = c - (c/2 + 1/2)= c/2 - 1/2 e = d - (d/2 + 1/2)= d/2 - 1/2we know that, e = 0,thus by substitution, we getd = 1c = 3b = 7a = 15y = 31Therefore total number of bread loaves in bakery was 31.
Q: What is the main component of biogas and natural gas? 3065 05b5cc69ce4d2b4197774c825
5b5cc69ce4d2b4197774c825- 1Carbon dioxidefalse
- 2Butanefalse
- 3Hydrogen Sulphidefalse
- 4Methanetrue
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Answer : 4. "Methane"
Explanation :
Answer: D) Methane Explanation: Methane is the main component of biogas and natural gas.
Q: A check returned by the bank marked nsf means 3064 05b5cc694e4d2b4197774c48e
5b5cc694e4d2b4197774c48e- 1Cheque has been forgedfalse
- 2Cheque can't be cashed being illegalfalse
- 3There are not sufficient funds in your accountrue
- 4Bank can't verify your identityfalse
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Answer : 3. "There are not sufficient funds in your accoun"
Explanation :
Answer: C) There are not sufficient funds in your accoun Explanation: NSF means - Not Sufficient Funds.
Q: Find the next number in the sequence? 28, 16, 28, 76, 274 3063 05b5cc696e4d2b4197774c59f
5b5cc696e4d2b4197774c59f- 11233false
- 21243true
- 31256false
- 41276false
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Answer : 2. "1243"
Explanation :
Answer: B) 1243 Explanation: Given number sequence is 28, 16, 28, 76, 274 Here the sequence follows a pattern that 28 28 x 0.5 + 2 = 14 + 2 = 16 16 x 1.5 + 4 = 24 + 4 = 28 28 x 2.5 + 6 = 70 + 6 = 76 76 x 3.5 + 8 = 266 + 8 = 274 274 x 4.5 + 10 = 1233 + 10 = 1243 Hence, the next number in the given number sequence is 1243.
Q: How is my father's brother's only sibling's mother related to my sister's only brother ? 3050 05b5cc6e1e4d2b4197774ebc0
5b5cc6e1e4d2b4197774ebc0- 1Neicefalse
- 2Auntfalse
- 3Motherfalse
- 4Grand-mothertrue
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Answer : 4. "Grand-mother"
Explanation :
Answer: D) Grand-mother Explanation: My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.
Q: When water freezes its density 3050 05b5cc6a1e4d2b4197774cb08
5b5cc6a1e4d2b4197774cb08- 1decreasestrue
- 2remains constantfalse
- 3increasesfalse
- 4become zerofalse
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Answer : 1. "decreases"
Explanation :
Answer: A) decreases Explanation: When water freezes its density decreases. Water at ordinary temperatures contracts and increases in density as it is cooled, like most substances. But at about 4°C it reaches a maximum density and then decreases in density as it approaches the freezing point.
Q: Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’, she placed the key ‘7’ only in the place of the key ‘3’ and not any other key. All keys that were interchanged corresponded only to numbers. Later, she input some calculations and obtained outputs as provided in the table below. The input is shown in terms of the keys that Kavitapressed, while the output is the output displayed by the calculator. Output: 1. 95 + 84=1282. 128 + 64=1953. 912 + 43=9424. 178 + 19=192 Question : Which of the following pair of digits is unchanged ? 3035 05b5cc6d2e4d2b4197774e467
5b5cc6d2e4d2b4197774e467- 19, 0, 3false
- 21, 3, 8false
- 37, 0, 1true
- 42, 4, 1false
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Answer : 3. "7, 0, 1"
Explanation :
Answer: C) 7, 0, 1 Explanation: 0 1 2 3 4 5 6 7 8 9 0 1 4 8 2 6 5 7 3 9 Here pairs interchanged are 2, 4 3, 8 5, 6 Unchanged are 0, 1, 7, 9
Q: If NAMO = 172 and OM = 56 then, SHIVAY = ? 3023 05b5cc6cee4d2b4197774e237
5b5cc6cee4d2b4197774e237- 1606false
- 2415false
- 3504true
- 4404false
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Answer : 3. "504"
Explanation :
Answer: C) 504 Explanation: (COUNTING OF LETTERS) NAMO = 14 + 1 + 13 + 15 = 43 x 4 = 172, OM = 15 + 13 = 28 x 2 = 56, SHIVAY = 19 + 8 + 9 + 22 + 1 + 25 = 84 x 6 = 504