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NUMBER SYSTEM

NUMBER SYSTEM. How many zeros are there at the end of the product? 10*20*30*40*50*60*70*80*90*100 (a) 10 (b) 11 (c) 14 (d) None of these. (d)12. How many numbers of zeroes are there in 1076! (a) 265 (b) 266 (c) 267

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NUMBER SYSTEM

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  1. NUMBER SYSTEM

  2. How many zeros are there at the end of the product? • 10*20*30*40*50*60*70*80*90*100 • (a) 10 • (b) 11 • (c) 14 • (d) None of these (d)12

  3. How many numbers of zeroes are there in 1076! • (a) 265 • (b) 266 • (c) 267 • (d) None of these (c)267

  4. What should be subtracted from 4x4 +12x3+15x2+20x+25, so that it will be divisible by x-2? • (a) 280 • (b) 282 • (c) 285 • (d) None of these (c)285

  5. A number which when on being divided by 5 and 7 successfully leaves the remainders 3 and 4 respectively. If the same number is divided by 35, what will be the remainder? • (a) 22 • (b) 23 • (c) 24 • (d) Can not be determined (b) 23

  6. A number which when on being divided by 4, 5 and 7 successfully leaves the remainders 2, 3 and 4 respectively. If the same number is divided by 140, what will be the remainder? • (a) 90 • (b) 92 • (c) 94 • (d) Can not be determined. (c) 94

  7. If 5x4+15x3+20x2+25x+30 is divided by x-3, what will be the value of the quotient? (a) 5x3+30x2+110x+355 (b) 5x4+32x2+105x +355 (c) 5x4+30x2+110x+350 (d) None of these (a)

  8. A number, when divided by 289 leaves the remainder 80. If the same number is divided by 17, what will be the remainder? • (a) 10 • (b) 11 • (c) 12 • (d) Can not be determined. (c) 12

  9. Let N =1421*1423*1425. What is the remainder when N is divided by 12? • (a) 0 • (b) 9 • (c) 3 • (d) 6 (c) 3

  10. The integers 34041 and 32506, when divided by a three-digit integer n, leave the same remainder. What is the value of n? • (a) 289 • (b) 367 • (c) 453 • (d) 307 (d) 307

  11. Amita had to do a multiplication. Instead of taking 35 as the multipliers, she took 53. As a result, the product went up by 540. What is the new product? • (a)1050 • (b) 540 • (c) 1440 • (d) 1590 (d) 1590

  12. Number S is obtained by squaring the sum of digits of a two digit number D. If the difference between S and D is 27, then the two digit number D is: • (a) 24 • (b) 54 • (c) 34 • (d) 45 (b) 54

  13. If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be: • (a) 7 and 8 • (b) 8 and 0 • (c) 5 and 8 • (d) None of these (b) 8 & 0

  14. If n is any odd number greater than 1, then n (n2-1) is divisible by: • (a) 96 • (b) 48 • (c) 24 • (d) None of these (c) 24

  15. P and Q are two positive integers such that PQ=64. Which of the following cannot be the value of P+Q? • (a) 20 • (b) 65 • (c) 16 • (d) None of these (d)

  16. The owner of a local jewellery store hired 3 watchmen to guard his diamonds, but a thief still got in and stole some diamonds. On the way out, the thief met each watchman, one at a time. To each he gave ½ of the diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal originally? • (a) 40 • (b) 36 • (c) 25 • (d) None of these (b) 36

  17. A child was asked to add first few natural numbers (i.e. 1+2+3+…) so long his patience permitted. As he stopped, he gave the sum as 575. When the teacher declared the result is wrong, the child discovered he had missed one number in the sequence during addition. The number he missed was: • (a) Less than 10 • (b) 10 • (c) 15 • (d) 20 (d) 20

  18. When 2 256 is divided by 17, the remainder would be: • (a) 1 • (b) 16 • (c) 14 • (d) None of these

  19. Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Zima took 1/3 of the mints, but returned four because she had a monetary pang of guilt. Rima then took ¼ of what was left but returned three for similar reasons. Lima then took half of the remainder but threw two back in to the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? • (a) 38 • (b) 31 • (c) 41 • (d) None of these (d)

  20. A young girl Reena leaves home with X flowers, goes to the bank of a near by river. On the bank of the river, there are four places of worship, standing in a row. She dips all the X flowers in to the river, the number of flowers doubles. Then, she enters the first place of worship, offers Y flowers to the deity. She dips the remaining flowers in to the river, and again the number of flowers doubles. She goes to the second place of worship, offers Y flowers to the deity. She dips the remaining flowers in to the river, and again the number of flowers doubles. She goes to the third place of worship, offer Y flowers to the deity. She dips the remaining flowers in to the river, and again the number of flowers doubles. She goes to the fourth place of worship, offers Y flowers to the deity. Now she is left with no flowers in hand. • Contd……

  21. 1. If Reena leaves home with 30 flowers, the number of flowers she offers to each deity is: • (a) 30 • (b) 31 • (c) 32 • (d) 33 (c) 32

  22. 2. The minimum number of flowers that could be offered to each deity is: • (a) 0 • (b) 15 • (c) 16 • (d) cannot be determined (c) 16

  23. 3. The minimum number of flowers with which Reena leaves home is: • (a) 16 • (b) 15 • (c) 0 • (d) Cannot be determined (b) 15

  24. Number of students who have opted for the subjects A,B and C are 60, 84, and 108 respectively. The examination is to be conducted for these students such that only the students of the same subject are allowed in one room. Also the number of students in each room must be same. What is the minimum number of rooms that should be arranged to meet all these conditions? • (a) 28 • (b) 60 • (c) 12 • (d) 21 (d) 21

  25. A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29: • (a) 5 • (b) 4 • (c) 1 • (d) Cannot be determined. (a) 5

  26. A is the set of positive integers such that when divided by 2, 3,4,5,6 leaves the remainders 1, 2,3,4,5 respectively. How many integers between 0 and 100 belong to set A? • (a) 0 • (b) 1 • (c) 2 • (d) None of these (b) 1

  27. Three wheels can complete 60, 36, 24 revolutions per minute respectively. There is a red spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again? • (a) 5/2 s • (b) 5/3 s • (c) 6 s • (d) 7.5 s (c) 6 s

  28. A hundred digit number is formed by writing first natural numbers in front of each other as 12345678910111213….. Find the remainder when this number is divided by 8. • (a) 1 • (b) 7 • (c) 2 • (d) 5 (a) 1

  29. If a number 774958A96B is to be divisible by 8 and 9, the respective values of A and B will be: • (a) 7 and 8 • (b) 8 and 0 • (c) 5 and 8 • (d) None of these (b) 8& 0

  30. 72 hens cost Rs__96.7__ Then what does each hen cost, where two digits in place of __are not visible or are written in illegible hand-writing? • (a)Rs3.23 • (b) Rs5.11 • (c) Rs5.51 • (d) Rs7.22 (c) Rs5.51

  31. Three balls chime at intervals of 18 minutes, 24 minutes and 32 minutes respectively. At a certain time, they begin to chime together. What length of time will elapse before they chime together again? • (a) 2 hr and 24 min • (b)4 hr and 48 min • (c) 1 hr 36 min • (d) 5 hr (b)

  32. What is the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12 and 16 is 4? • (a) 137 • (b) 1361 • (c) 140 • (d) 172 (d) 172

  33. A young girl counted in the following way on the fingers of her left hand. She started calling thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5, then reversed direction, calling the ring finger 6, middle finger 7, index finger 8, thumb 9 and then back to the index finger 10, middle finger for 11, and so on. She counted up to 1994. She ended on her: • (a) Thumb • (b) index finger • (c) middle finger • (d) ring finger (b) Index finger

  34. The number of positive integers not greater than 100, which are not divisible by 2, 3 or 5, is: • (a) 26 • (b) 18 • (c) 31 • (d) None of these. (a) 26

  35. How many numbers of zeroes are there in the product of 10*15*20*25*30*35*40*45*50? • (a) 7 • (b) 8 • (c) 9 • (d) 11 (b) 8

  36. What will be the unit digit of the product 3473 5237*5787 7829 * 6789 2367? • (a) 3 • (b) 7 • (c) 9 • (d) None of these (c) 9

  37. Let N=553+173-723. N is divisible by: • (a) Both 7 & 13 • (b) Both 3 & 13 • (c) Both 17 & 7 • (d) Both 3 & 17 (d)

  38. If n2=12345678987654321, • what is n? • (a) 12344321 • (b) 1235789 • (c) 111111111 • (d) 11111111 (d)

  39. . Number S is obtained by squaring the sum of digits of a two digit number D. If the difference between S and D is 27, then the two digit number D is: • (a) 24 (b) 54 (c) 34 (d) 45

  40. A red light flashes 3 times per minute and a green light flashes 5 times in two minutes at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour? • (a) 30 • (b) 24 • (c) 20 • (d) 60 (a) 30

  41. A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17. What is the number erased? • (a) 7 • (b) 8 • (c) 9 • (d) none of these (a) 7

  42. A student instead of finding the value of 7/8 of the number, found the value of 7/18 of the number. If his answer differed from the actual one by 770, find the number. • (a) 1584 • (b) 2520 • (c) 1728 • (d) 1656

  43. In a particular country where monogamy was a law, 3/5 of the men were married to 2/3 of the women. What fraction of the adult population was married? • (a) 7/19 • (b) 12/19 • (c) 7/15 • (d) 8/15

  44. A person has a certain number of sheep and wants to divide them in to equal groups. He tries groups of 2, but finds he has 1 left over. Then he tries groups of 3, but has 2 left over. Then he tries groups of 4, but has 3 left over….and so on, until he gets to groups of 17, and the sheep fit perfectly. What is the minimum number of sheep the person has? • (a) 5045039 • (b) 5224079 • (c) 3520640 • (d) 1208379 (a) 5045039

  45. Amaresh wanted one-rupee, two-rupee, three-rupee, five-rupee & ten-rupee stamps. He asked his friend Adarsh to get four each of two denominations & three each of the other denominations, and gave him Rs80. Before buying stamps, Adarsh treated himself to a candy worth Rs2, but still had enough money to buy the stumps. What was the value of each stamp of the kinds which Amaresh wanted four in number? • (a) Rs10 & Rs3 • (b) Rs5 & Rs3 • (c) Rs2 & Rs10 • (d) Rs10 & Rs5 (d) Rs10 & Rs5

  46. The Gangtak Town council decided to have some fun with numbering the houses in snap road which is a new street in the town. For reasons known only to the council, they decided not to use house numbers that contained the digit 3 (e.g. 13, 32 etc) or numbers that were multiples of 5 or 7.If there were 30 houses in snaps street, what is the number of the last house? • (a) 74 • (b) 62 • (c) 82 • (d) None of these

  47. Three brothers divided certain amount equally amongst them selves. After each one had spent Rs12 from their pocket, they had as much money left amongst them as each one had after the distribution. How much money was distributed? • (a) 52 • (b) 54 • (c) 56 • (d) None of these (b) 54

  48. If we divide an unknown two-digit number by the number consisting of the same digits written in reverse order, we get 4 as quotient & 3 as remainder. Now if we divide the required number by the sum of the digits, we get 8 as quotient and 7 as the remainder. Find the number. • (a) 91 • (b) 72 • (c) 71 • (d) 64 (c) 71

  49. What is the greatest number that will divide 2930 & 3250 and will leave as remainders 7 & 11 respectively? • (a) 77 • (b) 78 • (c) 79 • (d) None of these

  50. The traffic lights at three different road crossings change after every 48 seconds, 72 seconds & 72 seconds respectively. If they all change simultaneously at 8:20:00 hrs, then at what time will they again change simultaneously? • (a) 8:27:12 hrs • (b) 8:27:15 hrs • (c) 8:27:30 hrs • (d) 8:27:40 hrs

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