GATE Practice Question and Answer
8Q: Find the missing number? 15, 30, ? , 40, 8, 48 6976 05b5cc6afe4d2b4197774d264
5b5cc6afe4d2b4197774d264- 121false
- 28false
- 319false
- 410true
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Answer : 4. "10"
Explanation :
Answer: D) 10 Explanation: Given nuber series is 15, 30, ? , 40, 8, 48 Here the number series follows a pattern that 15 15 x 2 = 30 30 ÷ 3 = 10 10 x 4 = 40 40 ÷ 5 = 8 8 x 6 = 48 Hence, the missing number in the series is 10.
Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1683 15b5cc6afe4d2b4197774d259
5b5cc6afe4d2b4197774d259- 13924false
- 21962true
- 31684false
- 41452false
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Answer : 2. "1962"
Explanation :
Answer: B) 1962 Explanation: Arithmetic Series :: An Arithmetic Series is a series of numbers in which each term increases by a constant amount. How to find the sum of the Arithmetic Sequence or Series for the given Series :: When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence. That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term Here Last term is given by an = a1 + n-1d where d = common difference Now given Arithmetic Series is 2, 5, 8, 11,... Here a1 = 2, d = 3, n = 36 Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 Now, Sum to 36 terms is given by S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962 Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.
Q: A man pays Rs. 6.40 per litre of milk. He adds water and sells the mixture at Rs. 8 per litre, thereby making 37.5% profit. The proportion of water to milk received by the customers is 1409 05b5cc6afe4d2b4197774d25e
5b5cc6afe4d2b4197774d25e- 11 : 10true
- 210 : 1false
- 39 : 11false
- 411 : 9false
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Answer : 1. "1 : 10"
Explanation :
Answer: A) 1 : 10 Explanation: Customer ratio of Milk and Water is given by Milk :: Water 6.4 0 81 + 38 =6411 6411 6410 - 6411 => Milk : Water = 110 : 11 = 10 : 1 Therefore, the proportionate of Water to Milk for Customer is 1 : 10
Q: 1 Billion Seconds Equals to 1593 05b5cc6afe4d2b4197774d24f
5b5cc6afe4d2b4197774d24f- 134.76 yearsfalse
- 232.48 yearsfalse
- 333.31 yearsfalse
- 431.68 yearstrue
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Answer : 4. "31.68 years"
Explanation :
Answer: D) 31.68 years Explanation: We know that 1 year = 365.25 days 1 day = 24 hours 1 hour = 60 minutes 1 minute = 60 seconds => 1 Year = 365.25 x 24 x 60 x 60 Seconds But 1 billion seconds = ? 1 Year = 365.25 x 24 x 60 x 60 Seconds ? = 1000000000 Seconds ? = 1000000000365.25 x 24 x 60 x 60 years = 31. 68 years.
Q: What is Black, when Clean and White, when Dirty? 1714 05b5cc6afe4d2b4197774d254
5b5cc6afe4d2b4197774d254- 1Shoesfalse
- 2Carfalse
- 3Chalkboardtrue
- 4Nonefalse
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Answer : 3. "Chalkboard"
Explanation :
Answer: C) Chalkboard Explanation: It is Blackboard or Chalkboard which is Black when clean, and as you write on it with white chalk it becomes dirty in White color.
Q: How many weekends in a year? 1386 05b5cc6afe4d2b4197774d244
5b5cc6afe4d2b4197774d244- 152false
- 253false
- 3103false
- 4104true
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Answer : 4. "104"
Explanation :
Answer: D) 104 Explanation: In normal we have 104 Weekend Days. We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year. Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.
Q: The element common to all Acids is 1686 05b5cc6afe4d2b4197774d23a
5b5cc6afe4d2b4197774d23a- 1Nitrogenfalse
- 2Oxygenfalse
- 3Hydrogentrue
- 4Carbonfalse
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Answer : 3. "Hydrogen"
Explanation :
Answer: C) Hydrogen Explanation: Hydrogen is the common element to all Acids. But every element which contains Hydrogen is not an Acid. Most of the acids also contain Oxygen.
Q: Find the missing number in the series 1, 6, ?, 15, 45, 66, 91 2534 15b5cc6afe4d2b4197774d230
5b5cc6afe4d2b4197774d230- 124false
- 228true
- 332false
- 426false
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Answer : 2. "28"
Explanation :
Answer: B) 28 Explanation: Here the given series 1, 6, ?, 15, 45, 66, 91 follows a Pattern in the series is, +5, +9, +13,...,.. +21, +25 So +4 is getting increased at every term addition. Missing Number in the series will be 15+(9+4) = 15 + 13 = 28.

