GATE Practice Question and Answer
8Q: If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ? 2389 05b5cc6dde4d2b4197774e9dd
5b5cc6dde4d2b4197774e9dd- 118 : 24 : 11false
- 29 : 15 : 1false
- 320 : 15 : 9true
- 421 : 7 : 3false
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Answer : 3. "20 : 15 : 9"
Explanation :
Answer: C) 20 : 15 : 9 Explanation: Given k : l = 4 : 3l : m = 5 : 3 Then k : l : m = 20 : 15 : 9
Q: Find the missing number in the given number series? 514, 470, ?, 415, 404 2388 05b5cc6a9e4d2b4197774cf19
5b5cc6a9e4d2b4197774cf19- 1441false
- 2437true
- 3426false
- 4420false
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Answer : 2. "437"
Explanation :
Answer: B) 437 Explanation: Given number series is 514 470 ? 415 404 Here the pattern it follows is 514 514 - 44 = 470 470 - 33 = 437 437 - 22 = 415 415 - 11 = 404 Hence, the missing number in the given number series is 437.
Q: A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ? 2388 05b5cc74ae4d2b4197774fac2
5b5cc74ae4d2b4197774fac2- 13 daysfalse
- 226/3 daysfalse
- 313/4 daysfalse
- 424/5 daystrue
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Answer : 4. "24/5 days"
Explanation :
Answer: D) 24/5 days Explanation: we know that m1 x d1 = m2 x d2=> 4 x 6 = 5 x dwhere d = no. of days taken by 5 men to paintd = 24/5 days.
Q: 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 ? 2385 05b5cc6dfe4d2b4197774eb1b
5b5cc6dfe4d2b4197774eb1b- 12 littrue
- 24 litfalse
- 31 litfalse
- 43 litfalse
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Answer : 1. "2 lit"
Explanation :
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.
Q: A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ? 2382 05b5cc745e4d2b4197774fa0e
5b5cc745e4d2b4197774fa0e- 139 daysfalse
- 237 daysfalse
- 335 daystrue
- 433 daysfalse
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Answer : 3. "35 days"
Explanation :
Answer: C) 35 days Explanation: Distance d = 1200kmlet S be the speed he walks 15 hours a day(i.e 24 - 9)so totally he walks for 70 x 15 = 1050hrs. S = 1200/1050 => 120/105 = 24/21 => 8/7kmph given 1 1/2 of previous speedso 3/2 * 8/7= 24/14 = 12/7 New speed = 12/7kmph Now he rests 10 hrs a day that means he walks 14 hrs a day. time = 840 x 7 /12 => 490 hrs=> 490/14 = 35 days So he will take 35 days to cover 840 km.
Q: A number increased by 30% gives 390. The number is 2369 05b5cc6dde4d2b4197774ea1e
5b5cc6dde4d2b4197774ea1e- 1180false
- 2300true
- 3480false
- 4260false
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Answer : 2. "300"
Explanation :
Answer: B) 300 Explanation: Let the number be 'N'Given N + 30N/100 = 390=> 130N/100 = 390=> N = 390 x 10/13=> N = 300.
Q: Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ? 2368 05b5cc711e4d2b4197774f3be
5b5cc711e4d2b4197774f3be- 150 yrstrue
- 247 yrsfalse
- 345 yrsfalse
- 442 yrsfalse
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Answer : 1. "50 yrs"
Explanation :
Answer: A) 50 yrs Explanation: Let age of retirement = Sso according to the given condition 25000(x-20)=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)= 30000 + 210000 + 30000S-990000= 30000S - 750000or 25000S - 500000 = 30000x - 750000or 5000x = 250000or S = 50 yrs.
Q: The respective ratio between the speed of a bike, a van and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together? 2360 05b5cc6b2e4d2b4197774d397
5b5cc6b2e4d2b4197774d397- 160 kmphtrue
- 262 kmphfalse
- 364 kmphfalse
- 463 kmphfalse
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Answer : 1. "60 kmph"
Explanation :
Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100 x 30 = 75 kmph Speed of bike = 35 x 75 = 45 kmph Therefore, now required average speed of bike and van = 75 + 452= 60 kmph.