NGM|1|3| Numbers 21 - 30

The HCF of two numbers is 25, and their sum is 375. How many such pairs of numbers are possible?

• 1

• 4

• 6

• 8

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, and 12 seconds, respectively. In 40 minutes, how many times do they toll together?

• 10

• 12

• 21

• 18

In a meet, persons from five different places have assembled at Chennai High School. From the five places, the number of people representing each place is 48, 80, 240, 120, and 88. What is the minimum number of rooms required to accommodate all the people so that each room has the same number of occupants from the same place?

• 72

• 48

• 60

• 120

Find the greatest number that will divide 55, 163, and 217 so as to leave the same remainder in each case.

• 6

• 9

• 54

• 27

 What is the least number that, when divided by 4, 5, 6, and 8 leaves a remainder of 3? 

• 68

• 83

• 123

• 103

What is the least number that, when divided by 7, 8, and 10, gives remainders of 3, 4, and 6 respectively?

• 280

• 276

• 420

• 504

Five farmers have 7, 9, 11, 13, and 14 apple trees respectively in their orchards. Last year, each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd and 4th, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the 1st and 3rd farmers?

• 17 and 13

• 9 and 9

• 17 and 11

• 11 and 9

Three numbers are in the ratio of 2:3:5, and their LCM is 720. What is their HCF?

• 8

• 12

• 16

• 24

 The number of number-pairs lying between 100 and 250 with their HCF as 25 is:

• 1

• 6

• 8

• 4

What is the least number of square tiles required to pave the floor of a room that is 36 m long and 24 m wide?

• 12

• 180

• 3

• 360