Problems on Hcf and Lcm Formulas ,Questions and Answers

Problems on Hcf and Lcm Formulas ,Questions and Answers

1.Find the HCF of  

a)0.12     b)0.24       c)0.06          d)0.08           e)0.96

2.Express 1168/1095   in simple form?

a)15161516      b)16151615   c)8989  d)12171217   e)None

3.Find the HCF of the numbers a and b, where a = 2⁵ x 3² x 7⁶ x 11⁴ and n = 2³x3⁴x5⁶x11x13³?

a)396     b)408       c)792      d)1584    e)None of these

4.What is the side of the largest possible square brick which can be paved on the floor of a room 4m 96cm long and 4m 3cm broad?

a)27       b)28       c)29             d)31        e)37

5.Find the greatest number that will divide 147,185 and 251 leaving the remainders 3,5 and 11 respectively.

a) 12      b)15        c)18         d)21       e)23

6.In a school, the number of students in Sections A , B and C of 10th class are 70,98 and 126 respectively. Due to overload of student in each class , the administration wants to increase the number rooms . What is the minimum number of rooms required, if in each room the same number of students are to seated and all of them being in the same section?

a)18       b)20          c)21         d)23          e)25.

7.Find the greatest number that will divide 172, 205 and 304 so as to leave the same remainder in each case?

 a)19     b)21       c)33    d)45          e)49

8.What is the least number of that is exactly divisible by 4, 12, 15, and 18?

a) 120       b)108        c)180       d)240     e)360

9.LCM of 0.12, 0.15, 0.2 and 0.54?

     a) 5.4       b)10.8    c)16.2       d)2.7   e)None of these

10.A, B and C start running around a circular stadium and complete one round in 27 s, 9 s and 36 s, respectively.  In how much time will they meet again at the starting point?

a)1 hour                      b) 1 minute                 c) 1 minute 48 seconds          

d) 2 minutes                 e)3 minutes

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

a) 4       b)7      c)9       d)13

12.The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is

a) 276       b)299     c)322       d)345

13.Six bells commence tolling together and toll at intervals of  3,6,9,12,15 and 18 seconds respectively. In 30 minutes, how many times do they toll together ?

a) 11       b)10     c)15       d)16

14.Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is

a) 4       b)5     c)6       d)8

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

a) 9000      b)9400   c)9600       d)9800

16.Find the smallest number which when increased by 5 is divisible by 9, 21, 25 and 30.?a)3145         b)6305        c)3155         d)1605         e)6295

 17.HCF of two numbers is 27 and sum of the two numbers is 216. How many such pairs of numbers are possible?

a)0         b)1         c)2             d)3          e)4

18.What is the least number, which when divided by 5,6,8,10 and 12 leaves the remainder 2 in each case , but when divided by 13 leaves no remainder ?
a)262       b)362     c)960     d)962    e)None of these

19.What is the greatest number that will divide 99, 147 and 219 leaving the same reminder in each case?

 a) 396      b) 12      c) 369      d) 3       e) 2420.

20.The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is

 a) 101    b) 107      c) 111      d) 185       e) 124

21.Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is

a)40      b) 80   c) 120    d)160  e) 200

22.The G.C.D. of 1.08, 0.36 and 0.9 is

a)0.3   b) 0.9 c) 0.09   d)0.18  e) 0.108

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

a)1   b) 2 c) 3   d)5  e) 4

24.The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is

a)74   b) 94 c) 135   d)145  e)164

25.The least positive integer which is a perfect square and also divisible by each of 6,12, 18 and 24?

a)36       b)100        c)144         d)196        e)108

26.Find the smallest number of two digits which on being divided by 2, 3, 4 and 5 leaves 0, 1, 2 and 3 as remainder respectively.

a)    40      b)52    c)54       d)67      e)58

27.Find largest number of 4 digits divisible by 12, 15, 18, 27 ?

a)    9820       b)9720   c)9960       d)9760   e)9620

28.The HCF of 2 numbers is 11 and LCM is 693.If one of numbers is 77.find the other number ?

a)99     b)198         c)66      d)143       e)None of these

29.Find the lowest common multiple of 24, 36 and 40.

a)120     b)148         c)240      d)360       e)480

30.The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

a)1688     b)1677         c)2523      d)3363       e)1677