GATE Practice Question and Answer
8Q: Sony is one-fifth the age of her mother 15 years ago and Sony’s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother’s ages is 31 then how old is Sony's mother ? 2761 05b5cc745e4d2b4197774fa04
5b5cc745e4d2b4197774fa04- 140false
- 250true
- 360false
- 470false
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Answer : 2. "50"
Explanation :
Answer: B) 50 Explanation: Sony and her brother's age sum is 31Let Sony's mother's age be 'x'.Now the conditions given for both of their ages related to their mom is1/5(x-15) + 3/5(x-10) = 31x-15 + 3x-30 = 1554x-45 = 1554x = 200x = 50So, Mother's age = 50. Cross verification : 15 years ago age = 35 => Sony age = 710 years ago age = 40 => bro age = 24 Sum = 24 + 7 = 31.
Q: Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9? 2755 05b5cc636e4d2b4197774b9ff
5b5cc636e4d2b4197774b9ff- 12false
- 21.5true
- 31.25false
- 42.5false
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Answer : 2. "1.5"
Explanation :
Answer: B) 1.5 Explanation: Given Five boxes of bananas sell for Rs. 30. => 1 Box of Bananas for = 30/5 = Rs. 6 Then, for Rs. 9 => 9/6 = 3/2 = 1.5 Hence, for Rs. 9, 1.5 box of bananas can buy.
Q: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ? 2752 05b5cc731e4d2b4197774f819
5b5cc731e4d2b4197774f819- 1900 mtsfalse
- 2300 mtsfalse
- 3250 mtsfalse
- 4500 mtstrue
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Answer : 4. "500 mts"
Explanation :
Answer: D) 500 mts Explanation: Using pythagarous theorem,distance travelled by first train = 36x5/18x30 = 300mdistance travelled by second train = 48x5/18x30 = 400mso distance between them =√( 90000 + 160000) = √250000 = 500mts.
Q: Arun and Varun started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, Akhil joined them with Rs. 20,000. What will be Varun's share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business ? 2748 05b5cc6fbe4d2b4197774f0f1
5b5cc6fbe4d2b4197774f0f1- 1Rs. 7500true
- 2Rs. 4520false
- 3Rs. 8750false
- 4Rs. 6350false
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Answer : 1. "Rs. 7500"
Explanation :
Answer: A) Rs. 7500 Explanation: Arun : Varun : Akhil = (20000 x 24) : (15000 x 24) : (20000 x 18) = 4:3:3 B's share = 25000 x 3/10 = Rs. 7500.
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 ? 2742 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: Fill in the blanks with suitable prepositions from the given options. The dog was sitting _______ the table waiting _______ catch the ball that was thrown ________ him _________ his master. 2740 05b5cc74fe4d2b4197774fb3f
5b5cc74fe4d2b4197774fb3f- 1below, for, to, byfalse
- 2under, for, towards, byfalse
- 3up, to, towards, byfalse
- 4under, to, towards, bytrue
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Answer : 4. "under, to, towards, by"
Explanation :
Answer: D) under, to, towards, by Explanation: The dog was sitting under the table waiting to catch the ball that was thrown towards him by his master.
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? 2739 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.
Q: Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ? 2739 05b5cc6dce4d2b4197774e992
5b5cc6dce4d2b4197774e992- 11102 kmfalse
- 21060 kmfalse
- 3960 kmtrue
- 41250 kmfalse
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Answer : 3. "960 km"
Explanation :
Answer: C) 960 km Explanation: 60(x + 1) = 64x X = 15 60 x 16 = 960 km

