Q1.

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  • 5

  • 4

  • 6

  • 11

Solution:

4

Q2.

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is

  • 9600

  • 9999

  • 8970

  • 4545

Solution:

9600

Q3.

What is the sum of the digits of the least number, which when divided by 15, 18 and 24 leaves the remainder 8 in each case and is also divisible by a prime number between 11 and 15.

  • 12

  • 15

  • 17

  • 19

Solution:

17

Q4.

Four bells ring together at a certain time. After this, they rang at interval of 12, 10, 8 and 6 seconds respectively. After how many minutes will they ring together for the first time.

  • 2

  • 3

  • 4

  • 5

Solution:

2

Q5.

Ashutosh covers the plot measuring 2.40m long and 3.15m wide with tiles without cutting. Find the number of tiles.

  • 345

  • 643

  • 289

  • 366

Solution:

366

Q6.

The Length,Breadth and height of a room are 9m 52cm,5m 24cm and 4m 12cm respectively.find length of longest tape which can be measure the dimension of the room exactly.

  • 3

  • 4

  • 5

  • 6

Solution:

4

Q7.

A juice seller had three type of juice. 403litres of one kind, 434liters of 2nd kind and 465 liters of 3rd kind. Find the least possible number of casks of equal size in which different type of juices can be filled without mixing.

  • 14

  • 43

  • 42

  • 36

Solution:

42

Q8.

The sum of two numbers is 588and their HCF is 49. How many such pairs of numbers can be formed.

  • 1

  • 2

  • 3

  • 4

Solution:

2

Q9.

The product of two numbers is 2028 and their H.C.F. is 13. Find the number of such pairs.

  • 4

  • 3

  • 2

  • 5

Solution:

2

Q10.

What is the smallest number that, when dvided by 35 , 56 and 91 leaves remanders of 7 in each case ? 

  • 3647

  • 3348

  • 2856

  • 4532

Solution:

3647

Q11.

Find the largest positive integer that will divide 398, 436 and 542 leaving remainders 7, 11, and 15 respectively . 

  • 11

  • 20

  • 17

  • 18

Solution:

17