GATE Practice Question and Answer
8Q: The amount of water (in ml) that should be added to reduce 9 ml lotion, containing 50% alcohol, to a lotion containing 30% alcohol is ? 2539 05b5cc74fe4d2b4197774fae5
5b5cc74fe4d2b4197774fae5- 16 mltrue
- 211 mlfalse
- 315 mlfalse
- 49 mlfalse
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Answer : 1. "6 ml"
Explanation :
Answer: A) 6 ml Explanation: Let us assume that the lotion has 50% alcohol and 50% water.ratio = 1:1As the total solution is 9mlalcohol = water = 4.5mlNow if we want the quantity of alcohol = 30%The quantity of water = 70%The new ratio = 3:7Let x ml of water be addedWe get,4.54.5+x = 37=> x=6Hence 6ml of water is added.
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 ? 2532 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: A man pointing to a lady says, "Her brother is the father of my only son's sister." How is that lady related to the man ? 2531 05b5cc715e4d2b4197774f45e
5b5cc715e4d2b4197774f45e- 1sister of father-in-lawfalse
- 2daughter-in-lawfalse
- 3Sistertrue
- 4daughterfalse
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Answer : 3. "Sister"
Explanation :
Answer: C) Sister Explanation:
Q: "Compounding frequency" refers to 2528 05b5cc642e4d2b4197774bb57
5b5cc642e4d2b4197774bb57- 1What type of interest your account earnsfalse
- 2How often your interest is calculated and added back into your accounttrue
- 3What interest rate you can expect from your accountfalse
- 4How easily you can add money into your accountfalse
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Answer : 2. "How often your interest is calculated and added back into your account"
Explanation :
Answer: B) How often your interest is calculated and added back into your account Explanation: Compounding frequency : The time periods when interest will be calculated on top of the original loan amount (or) The number of compounding periods in one year. The greater the compounding frequency, the more often your interest is calculated and added back into your account.
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 ? 2521 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: Find the next number in the given number series? 96, 95, 87, 78, ? 2516 05b5cc60ae4d2b4197774b5c9
5b5cc60ae4d2b4197774b5c9- 164false
- 257false
- 329false
- 414true
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Answer : 4. "14"
Explanation :
Answer: D) 14 Explanation: The given number series is 96, 95, 87, 78, ? It follows a pattern that, 9696 - 12 = 9595 - 23 = 95 - 8 = 8787 - 32 = 87 - 9 = 7878 - 43 = 78 - 64 = 14 Hence, the next number in the given number series is 14.
Q: 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 ? 2514 05b5cc758e4d2b4197774fbe5
5b5cc758e4d2b4197774fbe5- 112false
- 28false
- 39false
- 410true
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Answer : 4. "10"
Explanation :
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.
Q: What is the IUPAC name for the following compound? H3C-C≡C-H 2507 05b5cc6b3e4d2b4197774d44b
5b5cc6b3e4d2b4197774d44b- 1Acetylenefalse
- 2Methyl acetylenetrue
- 3Butanolfalse
- 4Decanoic Acidfalse
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Answer : 2. "Methyl acetylene"
Explanation :
Answer: B) Methyl acetylene Explanation: The IUPAC name of the compound is Methyl Acetylene or Propyne.