GATE Practice Question and Answer
8Q: Sambhu buys rice at Rs. 10/kg and puts a price tag on it so as to earn a profit of 20%. However, his faulty balance shows 1000 gm when it is actually 800 gm. What is his actual gain percentage ? 1739 05b5cc709e4d2b4197774f299
5b5cc709e4d2b4197774f299- 150%true
- 225%false
- 375%false
- 460%false
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Answer : 1. "50%"
Explanation :
Answer: A) 50% Explanation: CP of 1000gm = Rs. 10SP of 800gm = Rs. 12SP of 1000gm =12x1000/800 = Rs. 15 Now take 1000gm as reference to calculate profit.Profit=SP-CP=15-10=Rs. 5Profit % = 5x100/10 = 50%
Q: In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ? 1739 05b5cc774e4d2b41977750016
5b5cc774e4d2b41977750016- 113true
- 2821false
- 3621false
- 42021false
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Answer : 1. "13"
Explanation :
Answer: A) Option A Explanation: Total number of flowers = (8+7+6) = 21. Let E = event that the flower drawn is neither red nor green. = event taht the flower drawn is blue. --> n(E)= 7 --> P(E)= 721=13
Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated ? 1739 05b5cc774e4d2b4197775000c
5b5cc774e4d2b4197775000c- 115false
- 220true
- 35false
- 410false
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Answer : 2. "20"
Explanation :
Answer: B) 20 Explanation: Since each number to be divisible by 5, we must have 5 0r 0 at the units place. But in given digits we have only 5. So, there is one way of doing it. Tens place can be filled by any of the remaining 5 numbers.So, there are 5 ways of filling the tens place. The hundreds place can now be filled by any of the remaining 4 digits. So, there are 4 ways of filling it. Required number of numbers = (1 x 5 x 4) = 20.
Q: Animal migration on savannas is often governed by 1739 05b5cc64de4d2b4197774bc61
5b5cc64de4d2b4197774bc61- 1Rainfalltrue
- 2Distancefalse
- 3Reproductionfalse
- 4Firefalse
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Answer : 1. "Rainfall"
Explanation :
Answer: A) Rainfall Explanation: Savannas are home to a wide diversity of animals. Many animals of the savanna migrate throughout the year, searching for food and water. Many of the droughts are seasonal and hit one area before another, so animals are constantly following the rains. Hence, Rain fall is what often governs animal migration on savannas.
Q: Statement: People in Pratapgarh are not paying their telephone bills in spite of the various verbal warnings and remainders. It has now informed the subscribers through a notification that those who do not pay their bills by the due date will be charged penalty for every defaulting day.Course of action:a. Majority of people may pay their bills by the due date to avoid penalty.b. People generally pay heed to such statutory notifications. 1739 05b5cc767e4d2b4197774fe3b
5b5cc767e4d2b4197774fe3b- 1Only a followsfalse
- 2Both a & b followstrue
- 3Only b followsfalse
- 4Neither a nor b followsfalse
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Answer : 2. "Both a & b follows"
Explanation :
Answer: B) Both a & b follows Explanation: Enforcing a penalty will motivate people to pay the bills. So, course of action a follows.It is general tendency to act accordingly when a penalty clause slapped. So, course of action b follows.
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Answer :
Explanation :
24 S in an IF means 24 Spokes in an Indian Flag.
Q: In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ? 1737 05b5cc6c4e4d2b4197774dcf6
5b5cc6c4e4d2b4197774dcf6- 1Rs. 34,410false
- 2Rs. 31,184false
- 3Rs. 29,999false
- 4Rs. 32,292true
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Answer : 4. "Rs. 32,292"
Explanation :
Answer: D) Rs. 32,292 Explanation: Almond Selling price = CP(1 + P%/100) => CP = 20000, SP = 23000 => 23000 = 20000 (1 + P/100) => P% = 100(23000/20000 - 1) = 15 Then, Olive's P% = 30% SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900 Now Sarah wants to earn profit of 8% => Sp for Sarah = 29900(1 + 8/100) = Rs. 32,292.
Q: Multiplicative inverse of 0 1737 05b5cc651e4d2b4197774bce5
5b5cc651e4d2b4197774bce5- 10false
- 21false
- 3infinityfalse
- 4None of the abovetrue
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Answer : 4. "None of the above"
Explanation :
Answer: D) None of the above Explanation: In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero). Hence, 0 doesn't have any multiplicative inverse.