GATE Practice Question and Answer
8Q: Find the least number by which 175760 be divided to make it a perfect cube. 3454 05b5cc6d7e4d2b4197774e70f
5b5cc6d7e4d2b4197774e70f- 16false
- 210true
- 39false
- 430false
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Answer : 2. "10"
Explanation :
Answer: B) 10 Explanation: 175760 =2³ x 2 x 5 x 13³= 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10
Q: 5 years ago Sushma was 5 times as old as her Son. 5 years hence her age will be 8 less than three times the corresponding age of her Son. Find their ages ? 3447 05b5cc73ae4d2b4197774f8d3
5b5cc73ae4d2b4197774f8d3- 124 and 13 yearsfalse
- 248 and 24 yearsfalse
- 335 and 11 yearstrue
- 433 and 15 yearsfalse
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Answer : 3. "35 and 11 years"
Explanation :
Answer: C) 35 and 11 years Explanation: Let the age of sushma be x and the age of her son is yThen five years before x-5=5(y-5) ...(1)Five years hence x+5 = 3(y+5)-8 .....(2) By soving (1) & (2), we get5y - 15 = 3y + 7y = 11 => x = 35 Therefore, the age of Sushma = 35 and her son = 11.
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? 3443 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: Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ? 3443 05b5cc6c5e4d2b4197774dd05
5b5cc6c5e4d2b4197774dd05- 117 daysfalse
- 211 daysfalse
- 315 daystrue
- 416 daysfalse
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Answer : 3. "15 days"
Explanation :
Answer: C) 15 days Explanation: We know that Time is inversely proportional to Efficiency Here given time ratio of P & P+Q as P/P+Q = 150/100 = 3:2 Efficiency ratio of P & Q as P:Q = 2:1 ....(1) Given Efficiency ratio of Q & R as Q:R = 3:1 ....(2) From (1) & (2), we get P:Q:R = 6:3:1 P alone can finish the work in 22.5(3+1)/6 = 15 days.
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Answer :
Explanation :
1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000 Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000 Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000 Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000 Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 The Productivity of Haryana is the maximum. 2. Answer : 5 Explanation : Production of Punjab is maximum = 105000 tonnes 3. Answer : 3 Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300% 4. Answer : 4 Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1 5. Answer : 1 Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48
Q: The salary of Mr. X is 30% more than that of Mr. Y . Find what percent of Mr. Y’s salary is less than Mr. X’s ? 3401 05b5cc6dce4d2b4197774e9a1
5b5cc6dce4d2b4197774e9a1- 124%false
- 223 1/3%true
- 325 1/2%false
- 422 8/9 %false
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Answer : 2. "23 1/3%"
Explanation :
Answer: B) 23 1/3% Explanation: y=100 x=130 130---------30100---------? => 23 1/3%
Q: Which of these is not a simple machine? 3396 15b5cc607e4d2b4197774b55e
5b5cc607e4d2b4197774b55e- 1a pair of scissorstrue
- 2a leverfalse
- 3a rampfalse
- 4the pulleyfalse
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Answer : 1. "a pair of scissors"
Explanation :
Answer: A) a pair of scissors Explanation: Any of the basic mechanical devices for applying a force are called simple machines. There are 6 basic simple machines; the lever, the wheel and axle, the inclined plane, the wedge, the pulley, and the screw. Several of these simple machines are related to each other. But, each has a specific purpose in the world of doing work.
Q: In a row, Kumar is at 7th place from the left and Pawan is at 9th place from the right. When they interchange the positions Kumar becomes 11th from left. How many were seated in the row ? 3384 05b5cc70ee4d2b4197774f385
5b5cc70ee4d2b4197774f385- 119true
- 220false
- 321false
- 427false
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Answer : 1. "19"
Explanation :
Answer: A) 19 Explanation: Initialy from left 7th = kumarfrom right 9th = pawanInterchange kumar = 11th from left, from right kumar = 9th;11+8 = 19;8 is 1,2,3,4,5,6,7(pawan),8,9,10,11(kumar),12,13,14,15,16,17,18,19;simply count the 9th place from right we will get total as 19.