Question 1 :
The numbers 11284 and 7655, when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.
Question 2 :
Four bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times they will toll together in one hour excluding the one at the start?
Question 3 :
Four runners started running simultaneously from a point on a circular track they took 200 sec, 300 sec, 360 sec and 450 sec to complete one round, after how much time do they meet at the starting point for the first time?
Question 4 :
HCF of first 200 prime numbers which are of the form 10p+1 is
Question 5 :
The least number, which when divided by 48, 60, 72, 108, 140 leaves 38, 50, 62, 98 and 130 remainders respectively, is
Question 6 :
Which of the following pairs of fraction add up to a number more than 5?
Question 7 :
The LCM of two numbers is 4800 and their HCF is 160. If one of the numbers is 480, then the other number is :
Question 8 :
The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is
Question 9 :
There are 264 girls and 408 boys in a school. These children are to be divided into groups of equal number of boys and girls. The maximum number of boys or girls in each group will be
Question 11 :
Three bells toll at intervals of 9, 12 and 15 minutest respectively. All the three begin to toll at 8 a.m. At what time will they toll together again?
Question 12 :
Let 'K' be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder 25 in each case. Then sum of the digits of 'K' is
Question 14 :
Three bells begin tolling at the same time and continue to do so at intervals of 21, 28 and 30 seconds respectively. The bells will toll together again after
Question 15 :
Product of two co-prime numbers is 117. Their LCM should be
Question 16 :
The ratio of two numbers is 3 : 4 their HCF is 4. Their LCM is:
Question 17 :
The LCM and HCF of two numbers are 84 and 21, respectively. If the ratio of two numbers be 1: 4, then the larger of the two numbers is:
Question 18 :
The length and breadth of rectangular field are 55 m and 45 m respectively. The length of the largest rod (in m) that can measure the length and breadth of the field exactly, is
Question 19 :
One pendulum ticks 57 times in 58 seconds and another 608 times in 609 seconds. If they started simultaneously, find the time after which they will tick together.
Question 20 :
Three numbers are in the ratio 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F is