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3. In a group of persons traveling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?A) 21 B) 23 C) 22 D)24Ans: B3. From a pack of cards Jack, Queen, King & ace are removed. Then the algebraic sum of rest of the cards is Ans:2164. The average temperature of days from Monday to Wednesday is 37 degree Celsius and that of from Tuesday to Thursday is 34 degrees. The temperature of Thursday is 4/5th of Monday. Then the temperature of Thursday isAns: 36 degrees5. Swetha, Tina, Uma and Vidya are playing a gambling. In this different people lose in different games-in the reverse alphabetical order. The rule is that if one loses she should double the amount of others. At the end of 4th game each of them have same amount of money (Rs.32). Which one of them started with the least amount? (6) Which one of them started with the largest amount of money? (7.) At the end of the 2nd game what is the amount of money with uma?Ans: Vidya, Swetha, Rs.88. A cube of 12 mm is painted on all its side. If it is made up of small cubes of size 3mm. If the big cube is splitted into those small cubes, the number of cubes that remain unpainted is Ans: 89. B is 50% faster than A. If A starts at 9 A.M. and B starts at 10 A.M. A travels at a speed of 50 km/hr. If A and B are 300 kms apart, The time when they meet when they travel in opposite direction is Ans:12 noon14. Dia of the circle 4cm. The shaded part is 1/3 of the square area. What is the side of the square. Ans: root of 3pi18. There are 10 coins. 6 coins showing head. And 4 showing tail. Each coin was randomly flipped (not tossed) seven times successively.after flipping the coins are 5 heads 4 tails one is hided the hided coin will have what.19. Two cars are 500 cm apart. each is moving forward for 100 cm at a velocity of 50 cm/s and receding back for 50 cm at 25 cm/s at what time they will collide with each other.25. 100 coins were collected by four persons each collected more than 10 each collected a different number each was an even number find what is the max possible no of coins, two more questions based on the same passage.26. A car travels from B at a speed of 20 km/hr. The bus travel starts from A at a time of 6 A.M. There is a bus for every half an hour interval. The car starts at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is 100 km. During its journey , The number of buses that the car encounter is28. There was a Island. In that Island there was Rubys and Emeralds. Those were available in plenty. 0.3 kg of ruby is 4 lakhs and 0.4 kg of emeralds is 5 lakhs. Jayanth is buying 12 kg of Ruby and emerald. Choices will be given . Jayanth has to carry both ruby and emerald to the maximum profit.29. Varun buys 8 books,10 pens and 2 pencils and Babu buys 6 books, 5pens and 5 pencils. Babu pays 50% more than Varun. What is the amount Varun spends in buying pencils.30. Prakash and Revathi rent a fancy shop. Prakash imposes the following restrictions on Revathi for buying clips,stickers and lip sticks. The number of clips is twice the no. of stickers. The no. of lipsticks should be more than the sum of clips and stickers. Cost of clip is 1 rupee. Cost of lipstick is twice the clips. Cost of 1 lipstick is the cost of four stickers. Then What is the amount that Prakash spents for Revathi. Answer choices will be given.3 A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find out what does letter D and G represent if letter A= 4.(8marks)< /FONT> Ans:D= 5 G=1 6. A group of friends goes for dinner and gets bill of Rs 2400 . Two of them says that they have forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the number ofperson in that group. (3 marks) Ans: 8 persons SECTION II1. Given the following functions(1) f(n a b c ) = ac if n=1(2) f(n a b c) = f( n-1 a c B) + f( 1 a b c) + f( n-1 b a c ) if n > 1Then what is the value f( 2 a b c ) = ?Ans: f( 2 a c b ) = ab + ac + bc.2. Similar question on functions.3. [ Based on the function in the first question] For the function f( 4 a b c ) the number of terms is...?Hint f( 4 a b c ) = f( 3 a c b ) + f( 1 a b c ) + f( 3 b a c ) etc.4. What is the value of the function f( 5 a b c ) = ?SECTION IIIPermutations and Combinations.8 Questions.1. r = number of flags;n = number of poles;Any number of flags can be accommodated on any single pole.1)r=5,n=5 The no. of ways the flags can be arranged ?Questions 2-5 are based on the above pattern6. r = 5 n = 3 . If first pole has 2 flags, third pole has 1 flagHow many ways can the remaining be arranged?Q. At a certain moment a watch shows 2 min lag although it is running fast.If it showed a 3 min lag at that moment, but also gains by 1/2 min more a day than its current speedit would show the true time one day sooner than it usually does. How many mins does the watch gain per day.a).2 B).5 c).6 d).4 e).75Q. In 400m race A gives B a start of 7 sec and beats him by 24 sec.In another race A beats B by 10 sec.the speeds are in the ratioa)8:7 B)7:6 c)10:8 d)6:8 e)12:10Q. 3x+4y=10x3 + y3=6 What is the minimum value of 3x+11y=?Q. There are 600 tennis players 4% wear wrist band on one wristOf the remaining, 25% wear wrist bands on both hands How many players don't wear a wrist band?Ans. 432Q. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively.How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg,given that the quntities of band c are equala)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30 Ans. (B)Q. Two distinct no's are taken from 1,2,3,4......28 Find the probability that their sum is less than 13

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