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2) One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel - Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?
(a) Monday (b) Sunday (c) Thursday (d) Saturday
3) A schoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolyard was 166. What could the possible number of bicycles?
(a) 14 (b) 10 (c) 12 (d) 11
4) Alok is attending a workshop "How to do more with less" and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4?Can you help Alok find the answer?
(a) 375 (b) 625 (c) 500 (d) 3125
5) 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no ‘cycle’ of handshakes is (A cycle of handshakes is a sequence of people a1, a2, … ,aK such that the pairs (a1, a2), (a2, a3), … , (a (k-1), a k) , (ak, a1) shake hands.
(a) 17 (b) 18 (c) 19 (d) 20
6) The ticket to Disneyland will cost anywhere from 1p to 63p. You need to produce the exact change as the ticket counter and have with you a 63p coin. So you decide to break this into change but you want to carry with you as few coins as possible. Assuming that coins of all denominations are available, how many coins (denominations) would you split the 63p into?
(a) 33 (b) 63 (c) 6 (d) 64
7) Which Number Replaces The Question Mark?
8) Planet fourfi resides in 4 – dimensional space and thus the currency used by its residents are 3 – dimensional objects. The rupees notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.
•The diameter of the coins should be at least 64mm and not exceed 512mm
•Given a coin, the diameter of the next larger coin is at least 50% greater.
•The diameter of the coin must always be an integer.
You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?
(a) 5 (b) 8 (c) 9 (d) 6
9) A hare and tortoise a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after tortoise has covered 1/5 its distance and that leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
(a)8 (b) 37.80 (c) 40 (d) 5
10)Solve the Sudoku
11) Anoop managed to draw 7 circles of equal radii with their centers on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.
(a)1:(2 + 7 √2) (b) 1:(4 + 7 √3) c) (2 + 7√ 2):1 (d) 1:(2 + 6√ 2)
12)
13) Lucy finds around 25 groups of stars that appear to her as constellations. She draws 7 patterns of the constellations in her notebook and notes down the number of stars in each of them. She counts 5 stars in first constellation and 15 on next. She counts a number the third time and forgets to note it down. The next four constellations she counts 51.53,159,161. Next day her father looks at the notebook and wants to know the number of stars in the third constellation. Lucy only remembers that number of starts counted in each of the constellation followed a pattern 5,15, x, 51, 53, 159, 161.
(a) 19 (b) 17 (c) 47 (d) 31
14) 6 persons standing in the queue for ROBERT movie, are wearing different color shirts. All of them belong to different age group, after two years their average age will be 43 and seventh person joined with them, hence the current average age has become 45. Find the age of seventh person?
(a) 67 (b) 69 (c) 72 (d) 74
15) X is 6 years younger to Y. X's father is a businessman who invested 10000/- at 8% rate of interest and obtained his amount after 10 years. Y's father is a job holder who invested around 20000 at 2% rate and obtained his amount after 20 years. Now Compounded both of them get around Rs. ABC .After 5 years the ratio of ages of X and Y is 1:2. Now X's father is 20 years older to Y and Y' father is 30 years more than X. After 20 years again X's mother asks X's father to purchase a LCD TV which costs around 45000/-. What is the age of X and Y together?
(a) 12 (b) 8 (c) 18 (d) 6
16.If a pipe can fill the tank in 6 hrs but unfortunately there was a leak in the tank due to which it took 30 more minutes .Now if the tank was full how much time will it take to get emptied through the leak?
(a) 39 hrs (b) 78 hrs (c) 72 hrs d) 70 hrs
17.If Valentine’s day of 2005 was celebrated on a Monday. What day is Feb 14 ,2010 ?
a)Monday (b) Sunday (c) Tuesday (d) Wednesday
18. It is the class with the seating arrangement in 4 rows and 8 columns. When the teacher says 'start' the girl who is sitting in first row and first column will say 1, then the next girl sitting behind her will say 4, the next girl sitting behind that girl will say 7, in a particular order each girl is telling a number, the following girls told 10, 13 next turn is yours what you will say?
(a) 14 (b) 16 (c) 20 (d) 17
19. A game is played between 2 players and one player is declared as winner. All the winners from first round, played in the second round. All the winners from second round played in third round and so on. If 8 rounds were played to declare only one player as winner, how many players played in first round?
(a) 256 (b) 128 (c) 255 (d) 127
20 ) Determine the distance between the x-intercept and the z-intercept of the plane whose equation is 2x+9y-3z=18
(a) 6.32 (b)10.82 (c)3.00 (d)5.00
21) Inspired by Fibonacci series, Sanket decided to create his own series which is 1,2,3,7,7,22,15,67,..... What number comes immediately before 63?
(a) 31 (b) 61 (c) 57 (d) 202
22) A man looks at a painting and tells “Neither have I any brother nor any sister, but the person in the painting is my father’s son”. Then who is in the painting?
(a) Father (b) Daughter (c) Son (d) Himself
23) Three boys Bob, Pete and Oliver and two girls Samantha and Kristie are to be seated in a row. Samantha always sits to the left of Bob. No girl sits at the extreme positions and at the middle positions. Peter always sits at the extreme positions. Who sits to the right of Kristie?
(a)Peter or Oliver (b) Bob (c) Peter (d)Oliver
24) A scientist was researching on animal behaviour in his lab. He was very interested in analyzing the behaviour of bear. For some reason he travelled 1 mile in the north direction & reached the North Pole. There he saw a bear and then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in 2 hrs. Then what colour is the bear?
(a) White (b) black (c) brown (d) grey
25) A Person buys a horse for 15 pounds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?
(a) 20 pounds (b) 15 pounds (c) 25 pounds (d) 10 pounds
26) If ‘a’ and ‘b’ are mixed in 3:5 ratio and b, c are mixed in 8:5 ratio and if the final mixture is 35 litres. Find the amount of b in the mixture.
(a) 15.73 (b) 14.73 (c) 15.24 (d) 14.24
27) The Mehta’s have decided to launch their perfumes and have narrowed down to five ingredients for the perfume: Lilac, Balsamic, Lemon, Woody and Mimosaic. The customer can order for specific variety of perfume. To make a perfume that is in demand the Mehta’s adhered to the following conditions: Lilac and Balsamic go together. Woody and Mimosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. All of the following combinations are possible to make a perfume except___.
(a) Balsamic and Lilac (c) Mimosaic and Woody
(b) Woody and Lemon (d) Mimosaic and Lilac
28) Mr Behera wants to build a house for his wife. In his dream house there are 5 rooms each having equal area. The length of each room is 4 m, breadth is 5 m and the height is 2m. For every single unit of area, he requires 17 bricks, how many bricks are required to make the floor of a particular room?
(a) 340 (b) 420 (c) 280 (d) 400
29) In a family there are some boys and girls. All boys told that they are having equal number of brothers and sisters and girls told that they are having twice the number of brothers than sisters. How many boys and girls are present in a family?
(a) 5 boys & 3 girls (b) 7 boys & 2 girls
(c) 4 boys & 3 girls (d) 6 boys & 2 girls
30) On planet Korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d= 4*v (t-9) for t = 9 , where d represents the diameter in mm and t, the number of years since the solar blast. Anubhav recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
(a) 17 (b) 21.25 (c) 12.25 (d) 12.06
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