Find the number of factors that the number 2025 has. 12 13 15 14 In how many ways can 14630 be written as the product of two factors? 14 15 23 16 Find the largest 3 digit multiple of 28. 980 987 986 578 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 30 76 21 31 Find the largest four digit number which when divided by 5 and 9 gives remainders of 3 and 7 respectively 8899 9988 9898 8989 Find the smallest number which when divided by 7 leaves a remainder of 6 and when divided by 11 leaves a remainder of 8 40 20 59 41 Find the remainder of the division 3^42/4 0 1 2 3 Which of the following is divisible by 19? 614120 860472 921194 998777 What should be added to 475935 so that it becomes a multiple of 11? 2 3 7 8 What should be subtracted from 478185 so that it becomes a multiple of 19? 7 8 10 12 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? 92 115 150 161
What is the largest number which, divides 288,528 and 708, and leaves the same remainder in each case? 30 60 75 150 What is the smallest five digit number which when divided by 7, 11 and 21 leaves a reminder of 5 in each case? 10164 10169 10118 10123 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? 10a.m 12 noon 1p.m 2p.m A number when divided by 928 leaves a reminder 244.What would be the reminder when the number is divided by 58? 8 12 17 23 When a three digit number is divided by 64484 and 62767, the remainder is the same in both the cases. What is the remainder? 101 458 757 Cannot be determined If x+1/x = 4, find the value of x^41/x^4(x>1) 112 112sqrt3 224 None of these Which of the following is a perfect square? 20,734 61,504 71,295 77,286 How many digits are there in the smallest number containing all 9's which is divisible by 13? 4 5 6 8 If the number 7448x24y is divisible by 72, find the value of xy given x not equal to y 5 7 8 None of these The difference of a four digit number and any number formed by permuting its digits would always be divisible by 18 11 10 9 Find a number such that it exceeds 18 by three times the number by which it is less than 86 32 69 54 67 Find the smallest number, which when divided by 31 leaves as remainder 7 and when divided by 25 leaves a remainder 6 106 81 131 162 Find the greatest number with which when 565,847 and 1551 are divided, the respective remainders are 5, 7 and 11 70 140 170 210 Find the remainder when 3^50 are divided by 11 1 6 7 Cannot be determined Find the smallest number which when increased by 5 is divisible by 36, 108,126 and 198 4422 8311 7764 6867 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 3200 5040 7600 8100 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 11 33 55 77 Find the greatest power of 20, which can divide 200! 10 49 98 104 Find the number of factors of the number 46200 64 78 96 106 Find the highest power of 5 contained in 250! 50 62 78 84 Find the largest five digit number which when divided by 8 leaves remainder 3 and when divided by 7 leaves remainder 1? 99948 99953 99960 99947 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? 384 317 385 None of these How many times the HCF, of the fractions 3/14, 6/35 and 16/21 is their LCM? 1440 144 210 48
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? 1 2 4 8 What is the number of different ways in which the number 784 can be expressed as a product of the two different factors? 8 7 2 None of these What is the sum of all the coprimes of 24, which are less than 24? 96 72 52 144 How many co prime of 53 are there between 29 and 41, including the two numbers? 23 13 36 None of these What is the HCF of the numbers represented by n (n^2 + 20), n being an even number? 16 12 8 48 When a three digit number is divided by 64484 and 62767, the remainder is the same in both the cases. What is the remainder? 101 458 757 Cannot be determined
