GATE рдкреНрд░рд╢реНрди рдФрд░ рдЙрддреНрддрд░ рдХрд╛ рдЕрднреНрдпрд╛рд╕ рдХрд░реЗрдВ
рдкреНрд░: A man pointing to a lady says, "Her brother is the father of my only son's sister." ┬аHow is that lady related to the man ? 3041 05b5cc715e4d2b4197774f45e
5b5cc715e4d2b4197774f45e- 1sister of father-in-lawfalse
- 2daughter-in-lawfalse
- 3Sistertrue
- 4daughterfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "Sister"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: C) Sister Explanation:
рдкреНрд░: The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop? 3033 05b5cc6a7e4d2b4197774ce18
5b5cc6a7e4d2b4197774ce18- 1444false
- 2344false
- 3244false
- 4144true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "144"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 144 Explanation: Given ratio of pens and pencils = 3 :2 Number of Pens = 3x Number of Pencils = 2x Average number of pencils & Pens =┬а3x┬а+┬а2x2┬а= 180 5x = 360 => x = 72 Hence, the number of pencils = 2x = 72 x 2 = 144.
рдкреНрд░: Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ? 3032 05b5cc6d3e4d2b4197774e4af
5b5cc6d3e4d2b4197774e4af- 1Saturdaytrue
- 2Sundayfalse
- 3Fridayfalse
- 4Mondayfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "Saturday"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) Saturday Explanation: We know that, After every 400 years, the same day occurs.Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.
рдкреНрд░: 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. 3029 05b5cc74fe4d2b4197774fb3f
5b5cc74fe4d2b4197774fb3f- 1below, for, to, byfalse
- 2under, for, towards, byfalse
- 3up, to, towards, byfalse
- 4under, to, towards, bytrue
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "under, to, towards, by"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
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.
рдкреНрд░: 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. 3020 05b5cc74fe4d2b4197774fb17
5b5cc74fe4d2b4197774fb17- 1All a,b and c followsfalse
- 2Only a and c followsfalse
- 3Either b alone or a & b followstrue
- 4Nonefalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 3. "Either b alone or a & b follows"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
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 ┬аis 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.
рдкреНрд░: The respective ratio between the speed of a bike, a van┬а 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? 3018 05b5cc6b2e4d2b4197774d397
5b5cc6b2e4d2b4197774d397- 160 kmphtrue
- 262 kmphfalse
- 364 kmphfalse
- 463 kmphfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "60 kmph"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 60 kmph Explanation: Speed of lorry = 36012 = 30 kmph Speed of van =250100┬аx┬а30 = 75 kmph Speed of bike = 35┬аx┬а75 = 45 kmph Therefore, now required average speed of bike and van┬а = 75┬а+┬а452= 60 kmph.
рдкреНрд░: A driver of auto rickshaw makes a profit of 20% on every trip when he carries 3 passengers and the price of petrol is Rs. 30 a litre. Find the % profit for the same journey if he goes for 4 passengers per trip and the price of petrol reduces to Rs. 24 litres ? 3016 05b5cc6fee4d2b4197774f157
5b5cc6fee4d2b4197774f157- 168%false
- 280%false
- 375%false
- 4100%true
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 4. "100%"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: D) 100% Explanation: When 3 passengers income was 3xexpense= Rs.30┬аprofit =20% of 30 = Rs.6┬аThat means his earning is Rs.36. so that per passenger fare must be Rs.12. When 4 passengersearning = 12x4=Rs.48.expense =Rs.24.profit = Rs.24 = 100%
рдкреНрд░: 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 ┬а ? 3013 05b5cc6dfe4d2b4197774eb1b
5b5cc6dfe4d2b4197774eb1b- 12 littrue
- 24 litfalse
- 31 litfalse
- 43 litfalse
- рдЙрддреНрддрд░ рджреЗрдЦреЗрдВрдЙрддреНрддрд░ рдЫрд┐рдкрд╛рдПрдВ
- Workspace
- SingleChoice
рдЙрддреНрддрд░ : 1. "2 lit"
рд╡реНрдпрд╛рдЦреНрдпрд╛ :
Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres. ┬а After adding water, juice would form 87.5% of the mixture. ┬а Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72┬а ┬а Hence 72 - 70 = 2 litres of water must be added.

