Mathematical Reasoning

1) In a music class, 12 students can play flute, 11 can play guitar and 10 can play violin. 6 students can play flute as well as guitar and 3 out of these can also play violin. 3 students can play only guitar and 4 students can play only violin. How many students can play only flute?

2) In a group of 75 students, 12 like only cabbage, 15 like only cauliflower, 21 like only carrot, 12 like both carrot and cabbage, 13 like only capsicum and 2 like both capsicum and cauliflower. How many students like only one vegetable?

3) Find the minimum number of students who can speak both Tamil and Telugu.

4) If it takes two workers, working separately but at the same speed, 2 h and 40 min to complete a particular task about how long will it take one worker, working at the same speed, to complete the same task alone?

5) In an airline, hot drinks and iced tea were served to 120 passengers. 75 passengers enjoyed hot drinks and 62 enjoyed iced tea. If 40 enjoyed both, then how many passengers enjoyed none of the beverages?

6) ‘4 is even and 8 is odd’. What is the truth value of this?

7) There were a total of 10 bicycles and tricycles. If the total number of wheels was 24, how many tricycles were there?

8) In a group of cows and hens, the number of legs are 14 more than twice the number of heads. Find the number of cows?

9) A factory produced 1858509 cassettes in the month of January, 7623 more cassettes in the month of February and owing to short supply of electricity produced 25838 less cassettes in March than in February. Find the total production in all?

10) 8 people are present in a meeting. In the end of meeting all people shake hand to each other. Find the number of handshakes at the end of a meeting?

11) At a party, the number of girls is half the number of boys. After an hours, five boys leave the party and three girls join the party. How many people were present at the party an hour before?

12) There are some balls of Red, Green and Yellow colour lying on a table. There are as many Red balls as there are Yellow balls. There are twice as many Yellow balls as there are Green ones. The number of Red balls is

13) At the end of a business conference all the ten people present, shake hands with each other only once. How many handshakes were there altogether?

14) How many odd numbered pages are there in a book of 1089 pages?

15) John used to buy petrol at the rate of ` 80 per litre till last month. Now he buys it at the rate of ` 85 per litre. By what percentage did the petrol price increase as compared to last month?

16) Some birds are sitting on two branches A and B. If one bird of the branch A fly away and sit on branch B, then the number of birds on both the branches will become equal. But if a bird from branch B flies and sits on the branch A then the number of birds on branch A is double of branch B. What number of birds were sitting on branch A at the beginning?

17) A group has some cows, bulls and 45 hens. Every 15 animals are herded by a herdsman. The number of bulls are twice the number of cows. If total numbers of heads is 186 less than total number of legs (with herdsman). Find the number of herdsmen?

18) A travel agent surveyed 100 people to find out how many of them had visited the cities of Mumbai and Bengaluru. 31 people had visited Mumbai, 26 people had visited Bengaluru and 12 people had visited both cities. Find the number of people who had visited neither Mumbai nor Bengaluru.

19) Find the number of persons who can speak only Telugu?

20) There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?

21) In a class of 40 students, 28 can speak Tamil and 30 can speak Telugu. All students can speak at least one of the two languages. Find the number of students who can speak onlyTamil.

22) In a company, 60% workers are males. If the number of female workers in the company is 800, what is the number of male workers in the company?

23) In a group of 75 students, 12 like only cabbage, 15 like only cauliflower, 21 like only carrot, 12 like both carrot and cabbage, 13 like only capsicum and 2 like both capsicum and cauliflower. What is the percentage of students that do not likecabbage?

24) In a plane, line X is perpendicular to line Y and parallel to line Z, line U is perpendicular to both lines V and W, line X is perpendicular to line V. Which one of the following statement is correct?

25) In a group of 75 students, 12 like only cabbage, 15 like only cauliflower, 21 like only carrot, 12 like both carrot and cabbage, 13 like only capsicum and 2 like both capsicum and cauliflower. The difference between the people who like carrot andcauliflower is

26) In an exam of 80 questions, a correct answer is given 1 mark, a wrong answer is given -1mark and if a question is not attempted there are zero marks. If a student attempted only 80% of the questions and got 32 marks, then how many questions did he answer correctly?

27) A train is running 3 min late and further being late 3 s/min. Find how long this train will be delayed one hour?

28) The sum of all the 3-digit numbers which are formed by the digits 1, 2 and 3 without repetition of digits, is

29) Two horses A and B run at a speed of 3 : 2 ratio in the first lap; during the second lap the ratio differs by 4 : 7; during the third lap the ratio differs by 8:9. What is the difference in ratio of speed altogether between the two horses?

30) A machine cuts the wooden log into 10 m pieces and take 6 s to cut a 10 m piece. Find the time to cut the 3 km long wooden log into pieces?

31) A shepherd had 17 sheeps. All but nine died. How many was he left with?

32) In a zoo, there are rabbits and pigeons. If heads are counted, there are 200 heads and if legs are counted there are 580 legs. How many pigeons are there?

33) The weights of 4 boxes are 90, 40, 80 and 50 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

34) A florist had 133 roses. She sold 5/7 of them. How many roses had she left?

35) The weights of 4 boxes are 80, 60, 90 and 70 kg. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once.

36) The heights of three towers are in the ratio 5 : 6 : 7. If a spider takes 15 min to climb the smallest tower, how much time will it take to climb the highest one?

37) A survey of 500 TV viewers produced the following information. 285 viewers watch football games, 195 viewers watch hockey games, 115 viewers watch basketball game, 45 viewers watch football and basketball games, 70 viewers watch football and hockey games, 50 viewers watch hockey and basketballgames and 50 viewers do not watch any of three games.How many viewers watch exactly one of the threegames?

38) According to a survey report, 62% people watch news on doordarshan, 44% people read newspaper and 24% people read newspaper and watch doordarshan both. How many percentage of people neither read newspaper nor watch doordarshan.

39) A tailor has to cut 10 shirt pieces of equal length from a roll of fabric. He cuts at the rate of 45 shirt pieces in a minute. How many rolls would be cut in 24 min?

40) A man climbing up a wall of 24 m high. He climbs 16 m in a day but slipped back by 3 m 40 cm in the evening. How far had the man reached on that day?

41) Which number will be in the middle if the following numbers are arranged in descending order? 4456, 4465, 4655, 4665, 4565

42) P is greater than Q by 60% and greater than R by 30%. The ratio of Q and R is

43) Two persons A and B get the same salary. Their basic pay are different. The allowances of A and B are 65% and 80% of the basic pay respectively. What is the ratio of the basic pay?

44) A survey of 100 candidates with respect to their choice of icecream flavour-vanilla, chocolate and strawberry produced the following information. 50 candidates like vanilla, 43 like chocolate, 28 like strawberry, 13 like vanilla and chocolate, 11 like chocolate and strawberry, 12 like strawberry and vanilla and 5 like all the three flavours. How many candidates like chocolate and strawberry, but not vanilla?

45) Marry said, ‘‘a number which I am thinking is divisible by 2 or 3.’’ This statement is false, if the number which I am thinking

46) 5 students A, B, C, D and E are present in an examination. If C got 5 marks less than B, D got 10 marks more than B and 20 marks less than A and E got 22 marks more than B and B got 40 marks. Then, how many marks did A get?

47) A person is given 1 rupee for shooting at the target and if he misses, then he has to give 1 rupee. If he gets 30 rupees for 100 chances then how many chances did he miss?