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NUMBER SYSTEM

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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
- (d) None of these

(c)267

- 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

- 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

- 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

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)

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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)

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

- 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

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

- 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)

- 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……

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

- 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

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

(b) 15

- 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

- 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

- 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

- 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

- 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

- 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

- 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

- 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)

- 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

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

- 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

- 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

- 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

- 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)

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

(d)

- . 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

- 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

- 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

- 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

- 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

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

- 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

- 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

- 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

- 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

- 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

- 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

A boy multiplied 423 by a certain number and obtained 65589 as his answer. If both the fives are wrong, but other figures are right, find the correct answer.

- (a) 60489
- (b) 60389
- (c) 62389
- (d) 61389

- The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.
- (a) 190 (b) 191 (c) 192 (d) None of these

- If x2 +kx-24=0 & -3 is one of the roots of the equation, then find the value of k:
- (a) 5
- (b) -5
- (c) 8
- (d) None of these

(b) -5

- The H. C.F of two numbers is 67 and their sum is 670. How many such numbers are possible?
- (a) 2
- (b) 3
- (c) 4
- (d) None of these

(a) 2

- Find the greatest number that divides 187, 233 and 325 leaving the same remainder in each case:
- (a) 23
- (b) 46
- (c) 92
- (d) None of these

(b) 46

- The sum of the digits of a two-digit number is 1/5th of the difference between the number & the number obtained by interchanging the positions of the digits. What definitely is the difference between the digits of that number?
- (a) 2
- (b) 3
- (c) Can not be determined
- (d) None of these

- 5 members of a basketball team are weighed and an average weight is recalculated after each member is weighed. If the average increases by 2 kg each time, how much heavier is the 5th player than the 1st?
- (a) 16kg
- (b) 20kg
- (c) 24kg
- (d) 26 kg

(a) 16 kg

- A certain number of horses and an equal number of men are going some where. Half of the owners are on their horses back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there?
- (a) 10
- (b) 12
- (c) 14
- (d) None of these

(c) 14

- In a caravan in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is:
- (a) 5
- (b) 8
- (c) 10
- (d) 15

(d)15

- Priyanka has the same number of sisters as the number of brothers, but her brother Anil has twice as many sisters as the number of brothers. How many children are there in the family?
- (a) 3
- (b) 5
- (c) 7
- (d) Can not be determined

(c) 7

- A batsman scores equal number of fours and sixes. If he has not given any dot balls, then the average run per ball is:
- (a) 4
- (b) 4.8
- (c) 5
- (d) Can not be determined

(b) 4.8

- The sum of four numbers is 22. The first number is twice the difference of the second and fourth. The second number is five times the difference of the third and the fourth. The third number is twice the difference of the first and the fourth. If the fourth number is the largest of the four then, what is the fourth number?
- (a) 9
- (b) 11
- (c) 8
- (d) 7

- When an object is dropped , the number of feet that it falls is given by the formula N=1/2 gt2, where t is the time in seconds from the time it was dropped and g is 32.2 ft/sec2. If it takes 5 seconds for the object for the object to reach the ground, how many feet does it fall during the last 2 seconds?
- (a) 64.4
- (b) 96.6
- (c) 161.0
- (d) 257.6

(d) 257.6

- Helen and Jolly are out, bird hunting. Helen fires 8 shots when Jolly fires 3. But Helen kills one in four, while Jolly one in two. When Jolly has missed 39 shots, how many birds has Helen killed?
- (a) 52
- (b) 53
- (c) 54
- (d) 55

Sonia likes coke very much. At the local super market a scheme has been announced, under which, for 5 empty coke bottles she receives one full bottle. As a part of Girl’s guide recycling initiative Sonia was able to collect 77 bottles of coke. How many bottles of coke will she be able to drink in total?

- (a) 15 bottles
- (b) 15.4 bottles
- (c) 18 bottles
- (d) 19 bottles

(d) 19 bottles

- If I have a certain number of marbles to divide equally among 18 boys. If the number of marbles and the number of boys were increased by two, each boy would receive 5 marbles less. How many marbles do I have?
- (a) 918
- (b) 920
- (c) 924
- (d) None of these

- In a one day cricket match Sachin Tendulkar decides that for every single run he takes he will hit a four or a six. After hitting 3 fours he can change his bat. When he got out at 87 runs, he has changed his bat for the third time. If he scores all the runs only from singles, fours and sixes, then find out:
- Contd...

- 1.How many singles did he take?
- (a) 10
- (b) 12
- (c) 15
- (d) 20

(c) 15

- 2. How many fours did he take?
- (a) 9
- (b) 10
- (c) 11
- (d) None of these

(a) 9

- 3. How many sixes did he take?
- (a) 4
- (b) 5
- (c) 6
- (d) None of these

c

- Directions: (Q 9 & Q 10) Read the following information carefully and answers the given questions:
- In a kiddy bank the ratio between 50 paisa coins and one rupee coins is 1:2. In another kiddy bank there are only fifty paisa coins and one rupee coins. If half of the amounts from the second kiddy bank is transferred to the first kiddy bank, the ratio between fifty paisa coins and one rupee coins became equal. Then find out:
- Contd…

- What is the minimum amount in both the kiddy banks put together?
- (a) Rs4.50
- (b) Rs5.50
- (c) Rs6.50
- (d) Can not be determined

(c) Rs6.50

- 2. What is the ratio between the amounts in both the kiddy bank?
- (a) 1:2
- (b) 2:3
- (c) 5:8
- (d) can not be determined

(c) 5:8

- If 13456789 is divided by 125, what will be the remainder?
- (a) 39
- (b) 49
- (c) 59
- (d) None of these

(a) 39

- If 237648517227 is divided by 99, what will be the remainder?
- (a) 0
- (b) 1
- (c) 2
- (d) None of these

(a) 0

- How many zeros are there in the value of 123!
- (a) 25
- (b) 27
- (c) 28
- (d) None of these

(c) 28

- How many factors are there in 240?
- (a) 18
- (b) 19
- (c) 20
- (d) None of these

(c) 20