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Aptitude preparation

Aptitude on H.C.F and L.C.M

Aptitude questions and answers on H.C.F and L.C.M

1.

504 can be expressed as a product of primes as ?

A.

2 ×2 × 2 × 3 × 3 × 7 

B.

2 ×3 × 2 × 3 × 3 × 7 

C.

3 ×2 × 2 × 3 × 3 × 7 

D.

None of these

2.

The H.C.F. of 9/10 , 12/25 , 18/35 , 21/40 , 27/45 is ----------?

A.

1.19

B.

2.19

C.

3.19

D.

4.19

3.

Find the L.C.M of 12,16,20,24

A.

290

B.

340

C.

480

D.

238

4.

Calculate the  L.C.M.  of 148 and 185 ?

A.

720

B.

540

C.

820

D.

740

5.

The ratio of 3 numbers are  1 : 2 : 3 and their H.C.F. is 6.  Find those 3 numbers?

A.

4, 8, 16

B.

6, 12, 24

C.

5, 10, 15

D.

2, 4, 8

6.

If  the product of two co-prime numbers is 238. Their L.C.M.  should be?

A.

225

B.

241

C.

238

D.

248

7.

If the product of two numbers is 1880 and their H.C.F.  is 5.  Then find the  L.C.M.  of the numbers ?

A.

389

B.

346

C.

378

D.

376

8.

Find the highest length which can be used to measure exactly the lengths 7m, 6m  45 cm, 12m  95 cm ?

A.

38 cm

B.

34 cm

C.

35 cm

D.

30 cm

9.

The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is 100. The second number is ?

A.

125

B.

225

C.

250

D.

150

10.

The smallest number which when diminished by 5, is divisible by 12, 16, 18, 21 and 28 is?

A.

1014

B.

1013

C.

1017

D.

1050

11.

Ram, Raj and Sam started their walk in the same direction in a round stadium. Ram,Raj,Sam completes their first round in 252,308,198 seconds respectively. So at what time Ram, Raj and Sam meet at the begining point?

A.

2772 seconds

B.

3772 seconds

C.

4772 seconds

D.

2272 seconds

12.

Find the smallest fraction, with which each of 6/7 , 5/14 , 10/21 will divide exactly? 

A.

30 / 8

B.

30 / 9

C.

30 / 7

D.

30 /1

13.

If the  L.C.M. of three numbers is 120. Which of the following cannot be their H.C.F ?

A.

16

B.

73

C.

92

D.

35

14.

Find the least number which when divided by 28,40,52 and 130 leaves 18,30,42 and 120 as reminders respectively?

A.

3630

B.

3730

C.

3620

D.

2630

15.

What is the highest similar factor of 180  and 72?

A.

36

B.

37

C.

31

D.

26

16.

Find the L.C.M of 5,15 and 0.15 ?

A.

5

B.

10

C.

15

D.

20

17.

The greatest number that exactly divides 105, 1001 and 2436 is?

A.

4

B.

7

C.

9

D.

11

18.

The least number of five digits which is exactly divisible by 12, 15 and 18, is?

A.

10040

B.

10010

C.

10080

D.

None of these

19.

Find the L.C.M. of 2/3 , 3/5 , 4/7 , 9/13 ?

A.

12

B.

34

C.

45

D.

36

20.

Find the other number when the two numbers H.C.F and L.C.M are 11 and 7700 respectively, where the first number is 275?

A.

301

B.

308

C.

312

D.

378