GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water ? 2739 05b5cc6dfe4d2b4197774eb1b
5b5cc6dfe4d2b4197774eb1b- 12 littrue
- 24 litfalse
- 31 litfalse
- 43 litfalse
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उत्तर : 1. "2 lit"
व्याख्या :
Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres. After adding water, juice would form 87.5% of the mixture. Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72 Hence 72 - 70 = 2 litres of water must be added.
प्र: Two persons Shyam and Rahim can do a job in 32 days together. Rahim can do the same job in 48 days alone. They started working together and after working 8 days Rahim is replaced by a third person Ram whose efficiency is half that of Rahim. Find in how many days the remaining work will be completed by both Shyam and Ram together? 2734 05b5cc6a3e4d2b4197774cc20
5b5cc6a3e4d2b4197774cc20- 116 daysfalse
- 272/5 daystrue
- 315 daysfalse
- 496/5 daysfalse
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उत्तर : 2. "72/5 days"
व्याख्या :
Answer: B) 72/5 days Explanation: Work done by Shyam and Rahim in 8 days = 8/32 = 1/4 Remaining work to be done by Shyam and Ram = 1 - 1/4 = 3/4 Given efficieny of Ram is half of Rahim i.e, as Rahim can do the work in 48 days, Ram can do the work in 24 days. One day work of Ram and Shyam = (1/32 - 1/48) + 1/24 = 5/96 Hence, the total work can be done by Shyam and Ram together in 96/5 days. Therefore, remaining work 3/4 can be done by them in 3/4 x 96/5 = 72/5 = 14.4 days.
प्र: A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ? 2730 05b5cc758e4d2b4197774fbe5
5b5cc758e4d2b4197774fbe5- 112false
- 28false
- 39false
- 410true
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उत्तर : 4. "10"
व्याख्या :
Answer: D) 10 Explanation: 1) Man's wife. = 12) Man's 4 son's wives. = 43) Man's daughter. = 14) 4 son's has each one daughter. = 4Therefore, total number of female members in the family = 1+4+1+4 = 10.
प्र: Brass gets discoloured in air because of the presence of which of the following gases in air ? 2730 05b5cc6e0e4d2b4197774eb34
5b5cc6e0e4d2b4197774eb34- 1Hydrogen sulphidetrue
- 2Oxygenfalse
- 3Nitrogenfalse
- 4Carbon dioxidefalse
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उत्तर : 1. "Hydrogen sulphide"
व्याख्या :
Answer: A) Hydrogen sulphide Explanation:
प्र: Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus? 2725 05b5cc670e4d2b4197774c060
5b5cc670e4d2b4197774c060- 1330/29 m/strue
- 2330 x 30 m/sfalse
- 3330/14 m/sfalse
- 4330/900 m/sfalse
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उत्तर : 1. "330/29 m/s"
व्याख्या :
Answer: A) 330/29 m/s Explanation: Second gun shot take 30 sec to reach rahul imples distance between two. given speed of sound = 330 m/s Now, distance = 330 m/s x 30 sec Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.
प्र: What is the place value of 6 in 64? 2719 05b5cc68be4d2b4197774c36a
5b5cc68be4d2b4197774c36a- 16false
- 260true
- 364false
- 410false
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उत्तर : 2. "60"
व्याख्या :
Answer: B) 60 Explanation: We know that, ● Each digit has a fixed position called its place. ● Each digit has a value depending on its place called the place value of the digit. ● The face value of a digit for any place in the given number is the value of the digit itself ● Place value of a digit = (face value of the digit) × (value of the place). Hence, the place value of 6 in 64 = 6 x 10 = 60.
प्र: In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 2713 05b5cc758e4d2b4197774fbc4
5b5cc758e4d2b4197774fbc4- 1fivefalse
- 2fourfalse
- 3twotrue
- 4onefalse
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उत्तर : 3. "two"
व्याख्या :
Answer: C) two Explanation: Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below : 2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 So, there are two such 8's. Hence the answer is C.
प्र: If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ? 2711 05b5cc6dde4d2b4197774e9dd
5b5cc6dde4d2b4197774e9dd- 118 : 24 : 11false
- 29 : 15 : 1false
- 320 : 15 : 9true
- 421 : 7 : 3false
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उत्तर : 3. "20 : 15 : 9"
व्याख्या :
Answer: C) 20 : 15 : 9 Explanation: Given k : l = 4 : 3l : m = 5 : 3 Then k : l : m = 20 : 15 : 9

