GATE Practice Question and Answer
8Q: Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively. 3195 05b5cc74fe4d2b4197774fb17
5b5cc74fe4d2b4197774fb17- 1All a,b and c followsfalse
- 2Only a and c followsfalse
- 3Either b alone or a & b followstrue
- 4Nonefalse
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Answer : 3. "Either b alone or a & b follows"
Explanation :
Answer: C) Either b alone or a & b follows Explanation: From statement (b)Average of 11 players = 11 x 28 = 308Average of 10 players = 10 x 27.3 = 273Age of captain = 308 - 273 = 35. From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers ageFrom the statement (c),the averge age of 3groups of 3players each was given,It means total 9 players age was given indirectly,1st group: 25 x 3 = 752nd group: 28 x 3 = 843rd group: 30 x 3 = 90Total is 75 + 84 + 90 = 249Now {C + Y + (9 players age sum)}/11 = 28Y + 11 + Y + (249) = 28 x 11=3082Y+260=3082Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35 Therefore, statement b alone or a & c only is the answer.
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 ? 3188 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: 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? 3185 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: Where are saved files stored in computer ? 3182 05b5cc69ee4d2b4197774c95b
5b5cc69ee4d2b4197774c95b- 1Hard disktrue
- 2Cachefalse
- 3RAMfalse
- 4Any of abovefalse
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Answer : 1. "Hard disk"
Explanation :
Answer: A) Hard disk Explanation: Most operating systems store files on a hard disk.
Q: In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 3181 05b5cc758e4d2b4197774fbc4
5b5cc758e4d2b4197774fbc4- 1fivefalse
- 2fourfalse
- 3twotrue
- 4onefalse
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Answer : 3. "two"
Explanation :
Answer: C) two Explanation: Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below : 2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 So, there are two such 8's. Hence the answer is C.
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. 3175 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: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ? 3174 05b5cc6dce4d2b4197774e988
5b5cc6dce4d2b4197774e988- 1108 sq.cmfalse
- 2112 sq.cmfalse
- 3116 sq.cmfalse
- 4120 sq.cmtrue
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Answer : 4. "120 sq.cm"
Explanation :
Answer: D) 120 sq.cm Explanation: The triangle with sides 26 cm, 24 cm and 10 cm is right angled, where the hypotenuse is 26 cm. Area of the triangle =1/2 x base x height => 1/2 x 24 x 10 = 120 sq.cm
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 ? 3172 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.