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NUMBERS
1.Find the number of factors that the number 2025 has. a)12 b)13 c)15 d)14 2.In how many ways can 14630 be writen as the product of two factors a)14 b)15 c)23 d)16 3.Find the largest 3 digit multiple of 28. a)980 b)987 c)986 d)578 4.Find the smallest number which when divided by 4 or 7 leaves a remainder of 3 in each case and the number being greater than the two divisors a)30 b)76 C)21 d)31 5.Find the largest four digit number which when divided by 5 and 9 gives remainders of 3 and 7 respectively a)8899 b)9988 c)9898 d)8989 6.Find the smallest number which when divided by 7 leaves a remainder of 6 and when divided by 11 leaves a remainder of 8 a)40 b)20 c)59 d)41 7.Find the remainder of the division 3^42/4 a)0 b)1 c)2 d)3 8.Which of the following is divisible by 19? a)614120 b)860472 c)921194 d)998777 9.What should be added to 475935 so that it becomes a multiple of 11? a)2 b)3 c)7 d)8 10.What should be subracted from 478185 so that it becomes a multiple of 19? a)7 b)8 c)10 d)12 11.There are some sweets with me.If i distribute them equally among 10, 16 or 20 children,i would be left with one sweet in each case.If i distribute the sweets equally among 20 children,I do not have any sweets left with me.How many sweets do i have? a)92 b)115 c)150 d)161 12.What is the largest number which,divides 288,528 and 708, and leave the same remainder in each case? a)30 b)60 c)75 d)150 13.What is the smallest five digit number which when divided by 7,11 and 21 leaves a reminder of 5 in each case? a)10164 b)10169 c)10118 d)10123 14.From a certain city,buses start for four different places every 15,20, 25 and 30 minutes starting from 8 a.m.At what time,for the first time after 8 a.m. would all the buses start together again? a)10 a.m b)12 noon c)1 p.m d)2 p.m 15.A number when divided by 928 leaves a reminder 244.What would be the reminder when the number is divided by 58? a)8 b)12 c)17 d)23 16.When a three digit number is divided by 64484 and 62767,the remainder is the same in both the cases.What is the remainder? a)101 b)458 c)757 d)cannot be determined 17.if x+1/x = 4 , find the value of x^41/x^4(x>1) a)112 b)112sqrt3 c)224 d)none of these 18.Which of the following is a perfect square? a)20,734 b)61,504 c)71,295 d)77,286 19.How many digits are there in the smallest number containing all 9's which is divisible by 13? a)4 b)5 c)6 d)8 20.If the number 7448x24y is divisible by 72,find the value of xy given x not equal to y a)5 b)7 c)8 d)none of these 21.The difference of a four digit number and any number formed by permutin its digits would always be divisible by a)18 b)11 c)10 d)9 22.Find a number such that it exceeds 18 by three times the number by which it is less than 86 a)32 b)69 c)54 d)67 23.Find the smallest number,which when divided by 31 leaves as remainder 7 and when divided by 25 leaves a remainder 6 a)106 b)81 c)131 d)162 24.Find the greatest number with which when 565,847 and 1551 are divided, the respective remainders are 5,7 and 11 a)70 b)140 c)170 d)210 25.Find the remainder when 3^50 is divided by 11 a)1 b)6 c)7 d)cannot be determined 26.Find the smallest number which when increased by 5 is divisible by 36, 108,126 and 198 a)4422 b)8311 c)7764 d)6867 27.What is the minimum number of identical square tiles required to cover a floor of dimensions 3 m 78 cm by 4 m 80 cm a)3200 b)5040 c)7600 d)8100 28.The HCF and LCM of a pair of numbers are 11 and 1001 resp.Find the smaller of the two numbers given that their sum is 220 a)11 b)33 c)55 d)77 29.Find the greatest power of 20,which can divide 200! a)10 b)49 c)98 d)104 30.Find the number of factors of the number 46200 a)64 b)78 c)96 d)106 31.Find the highest power of 5 contained in 250! a)50 b)62 c)78 d)84 32.Find the largest five digit number which when divided by 8 leaves remainder 3 and when divided by 7 leaves remainder 1? a)99948 b)99953 c)99960 d)99947 33.When the numbers 5,7 and 11 divide a multiple of 17,the remainders left are ,respectively,4,6 and 10.Which multiple of 17 gives the least number that satisfies the given condition? a)384 b)317 c)385 d)none of these 34.How many times the HCF , of the fractions 3/14,6/35 and 16/21 is their LCM? a)1440 b)144 c)210 d)48 35.What is the maximum number of ways in which the number 11025 can be expressed as the product of a pair of co prime factors a)1 b)2 c)4 d)8 36.What is the number of different ways in which the number 784 can be expressed as a product of the two different factors? a)8 b)7 c)2 d)none of these 37.What is the sum of all the coprimes of 24,which are less than 24? a)96 b)72 c)52 d)144 38.How many co prime of 53 are there between 29 and 41,including the two numbers? a)23 b)13 c)36 d)none of these 39.What is the HCF of the numbers represented by n(n^2 + 20), n being an even number? a)16 b)12 c)8 d)48 40.When a three digit number is divided by 64484 and 62767,the remainder is the same in both the cases.What is the remainder? a)101 b)458 c)757 d)cannot be determined

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Author: mark richards 11 Mar 2008  Member Level: Silver Points : 3  cool test but i have a question for you.
A bus carried a total of 15 people at a time to a specific destination. if the bus made 6 trips, how many people from the bus were on the tour?
a)84 b)85 c)90
 Author: Deepu 11 Mar 2008  Member Level: Gold Points : 1  Hi this is deepu, I think the answer is obviously 84.Is that correct.
 Author: mark richards 12 Mar 2008  Member Level: Silver Points : 2  nope the answer is 85. okay there are 15 people on the bus.14 student and the driver.so the bus makes 6 trips.that means 14 x 6= 84 plus the bus driver so it 85.nice guess though
 Author: Deepu 14 Mar 2008  Member Level: Gold Points : 1  thats fine.

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