GATE Practice Question and Answer
8Q: Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes ? 3147 05b5cc6e5e4d2b4197774ed1a
5b5cc6e5e4d2b4197774ed1a- 121 mintrue
- 224 minfalse
- 320 minfalse
- 422 minfalse
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Answer : 1. "21 min"
Explanation :
Answer: A) 21 min Explanation: Let the pipe B be closed after 'K' minutes. 30/16 - K/24 = 1 => K/24 = 30/16 - 1 = 14/16 => K = 14/16 x 24 = 21 min.
Q: Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially? 3127 05b5cc6a6e4d2b4197774cd8c
5b5cc6a6e4d2b4197774cd8c- 1153145 kgsfalse
- 2147890 kgsfalse
- 3152400 kgsfalse
- 4149600 kgstrue
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Answer : 4. "149600 kgs"
Explanation :
Answer: D) 149600 kgs Explanation: Let the total quantity of gold be p kgs. According to the question, 50% of p + 25% of p + 12.5% of p = 130900 87.5% of p = 130900 p = 130900 x 100/87.5 = 149600 kgs. Therefore, the initial gold quantity that king has = p = 149600 kgs.
Q: What is the value of P in the following Equation ? 192.5 × 19p = 197 3125 15b5cc6bee4d2b4197774d9a6
5b5cc6bee4d2b4197774d9a6- 13.9false
- 24.1false
- 33.7false
- 44.5true
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Answer : 4. "4.5"
Explanation :
Answer: D) 4.5 Explanation: Given equation is 192.5 ×19p = 197 Here it is in the form of am × an = am+n Here m = 2.5 , n = p, m+n = 7 => 2.5 + p = 7 => p = 7 - 2.5 => p = 4.5
Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ? 3119 05b5cc6f8e4d2b4197774f068
5b5cc6f8e4d2b4197774f068- 114thfalse
- 216thfalse
- 318thtrue
- 420thfalse
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Answer : 3. "18th"
Explanation :
Answer: C) 18th Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.
Q: Study of the sun is called 3119 05b5cc6a2e4d2b4197774cb60
5b5cc6a2e4d2b4197774cb60- 1Coronagraphyfalse
- 2Seismographyfalse
- 3Helioseismologytrue
- 4Heliographyfalse
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Answer : 3. "Helioseismology"
Explanation :
Answer: C) Helioseismology Explanation: Helioseismology is the study of the solar interior using observations of waves on the Sun's surface. It has done much to improve our understanding of the interior of the Sun, testing the physical inputs used to model stellar interiors and providing a detailed map of the Sun's structure and internal rotation.
Q: Find the number of factors of 9321 ? 3117 05b5cc736e4d2b4197774f832
5b5cc736e4d2b4197774f832- 14false
- 25false
- 37false
- 48true
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Answer : 4. "8"
Explanation :
Answer: D) 8 Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie., (1+1) x (1+1) x (1+1)= 8 ; we get eight factors.
Q: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ? 3115 05b5cc6e9e4d2b4197774ee01
5b5cc6e9e4d2b4197774ee01- 134false
- 236false
- 335false
- 437true
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Answer : 4. "37"
Explanation :
Answer: D) 37 Explanation: 16x + 85 = 17(x + 3) x = 34 + 3 = 37
Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3077 05b5cc731e4d2b4197774f7b5
5b5cc731e4d2b4197774f7b5- 11:3false
- 22:1false
- 33:2true
- 42:3false
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Answer : 3. "3:2"
Explanation :
Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.