Saturday, 27 June 2015

H. C. .F & L. C. M.-1st part

1. (i)   Find the H.C.F. of  42 and 70.  [Ans. (d) 14] 
(a)  7    (b) 1      (c) 28       (d) 14           (e) none of these  

(ii)  Find the H.C.F. of 1365, 1560 & 1755. [Ans. (a) 195] 
(a)  195      (b) 13   (c) 15     (d) 390    (e) none of these  

(iii)  Find the H.C.F. of 144 & 192.   [Ans. (b) 48] 
(a)  16    (b) 48      (c) 96   (d) 24    (e) none of these  

(iv)  Find the H.C.F. of 1260 & 2376.    [Ans. (a) 36] 
(a)  36      (b) 48    (c) 96      (d) 24       (e) none of these  

(v)  Find the H.C.F. of 876, 492, 1824 & 1960.   [Ans. (e) (4)] 
(a)  16    (b) 24   (c) 96   (d)  76     (e) none of these  

(vi) Find the H.C.F. of 1794, 2346 & 4761.   [Ans. (e) (69)]
(a)  3     (b) 138      (c) 96    (d) 23        (e) none of these  

(vii)  Find the H.C.F. of 144, 180 & 192             [Ans. (a) 12] 
(a)  12    (b) 4       (c) 36      (d) 24     (e) none of these  

2. (i) Find the H.C.F. of 16.5 , 0.45 & 15        [Ans. (d) 0.15] 
(a)  1.5     (b) 0.5     (c) 0.015      (d) 0.15    (e) none of these  

(ii) Find the H.C.F. of 1.7, 0.51 & 0.153      [Ans. (c) 0.017] 
(a)  1.7     (b) 0.17   (c) 0.017     (d) 14    (e) none of these  

(iii) Find the H.C.F. of 1.84, 2.3 & 2.76         [Ans. (a) 0.46] 
(a)  0.46      (b) 0.23      (c) 4.6     (d) 2.3   (e) none of these  

(iv) Find the H.C.F. of 4.8, 5.4 & 0.06 [Ans. (e) none (0.06)] 
(a)  0.6    (b) 6.0      (c) 0.9     (d) 0.006    (e) none of these  

3. (i)  Find the H.C.F. of 54/9, (3 and 9/17) and 36/51. [Ans. (d) 6/17] 
(a)  9/17    (b) 6/19     (c) 7/71     (d) 6/17  (e) none of these  

(ii)  Find the H.C.F. of 3/4, 5/6 and 6/7.  [Ans. (c) 1/84] 
(a) 3/84    (b) 1/81      (c) 1/84      (d) 6/48    (e) none of these  

(iii)  Find the H.C.F. of 6, 3&3/4 and 18/20.  [Ans. (b) 3/20] 
(a) 7/20      (b) 3/20     (c) 3/25    (d) 7/20     (e) none of these  

(iv)  Find the H.C.F. of 6/8 , 2&1/2 and  15/16  [Ans. (d) 1/16] 

(a) 6/16     (b) 3/18       (c) 6/61      (d) 1/16   (e) none of these   

4. (i)  What is the greatest number that will exactly divide 96, 528 and 792 ?   [Ans. (d) 24] 
(a)  12      (b) 48       (c)  36     (d)  24     (e) none of these  

(ii) What is the greatest number that will be exactly divide 312, 351 & 650?  [(Ans. (b)  13]
(a)  39        (b) 13       (c) 26     (d) 52       (e) none of these  

5. (i) Find the greatest weight which can be contained exactly in 1 Kg. 235 gm. & 3 Kg.430 gm.[Ans. (e) none of these (5)]
(a)  10          (b) 45         (c) 1      (d) 25    (e) none of these  

(ii) What is the greatest length which can be used to measure exactly 3 m 60 cm; 6 m; 8 m 40 cm and 18 m.
(a)  1m 30 cm  (b)  125 cm   (c)  1 m 10  (d)  105 cm   (e) none

(iii) What is the largest sum of money which is contained in Rs. 6.25 and Rs, 7.50 exactly?   [Ans. (a) 125 P]                                                                                    
(a)  125P    (b) 120P   (c) 175P    (d)  75P   (e) none of these  

(iv) Two bills, one of Rs. 27.50 and the other of Rs. 13 are to be paid in coins of the same kind. Find the largest coin that can be used.  [Ans. (a) 50paise]
(a) 50 paisa  (b) Re. 1    (c)  Rs. 1.50  (d)  25 paise    (e) none
        
6. (i) What is the greatest no. that will divide 38, 45 and 52 and leave as remainders 2, 3 and 4 respectively.  [Ans. (d) 6] 
(a)  3     (b) 2       (c) 12    (d)  6        (e) none of these  

(ii) Find the greatest number that will divide 728 and  900 leaving the remainders 8  and  4  respectively.  [Ans. (a) 16]
(a) 16      (b) 15        (c) 14     (d) 24        (e) none of these  

7.  (i) Find the greatest number which will divide 410, 751 and 1030 so as to leave remainder 7 in each case.  [Ans. (b) 31]  
(a) 63    (b) 31      (c) 13   (d) 36            (e) none of these  

(ii) Find the greatest number which will divide 772 and 2778 so as to leave the remainder 5 in each case.  [Ans. (a) 59]
(a) 59     (b) 69      (c) 49     (d) 95            (e) none of these  

8. (i) Find the greatest number which is such that when 76, 151  and 226 are divided by it, the remainders are all alike. Find also the common remainder.     [Ans. (c) 75, 1]       
(a) 57, 2    (b) 75, 2     (c) 75, 1     (d) 57, 1    (e) none of these  

(ii)  Find a number of three digits which gives the same remainder, when it divides 2272 and 875.     [Ans.(b)127]
(a) 172   (b) 127     (c) 125   (d) 137       (e) none of these  

9. (i) Find the L.C.M. of  18, 24, 60 and 150   [Ans. (c) 1800] 
(a) 1500  (b) 1600    (c) 1800     (d)  1450      (e) none of these  

(ii) Find the L.C.M. of 40, 36 and 126       [Ans. (d) 2520] 
(a)  2560   (b) 2440   (c) 2500   (d) 2520     (e) none of these  

(iii)  Find the L.C.M. of 84, 90 and 120.    [Ans. (d) 2520] 
(a)  2560  (b) 2440    (c)  2500    (d)  2520     (e) none of these  

(iv) Find the L.C.M. of 75, 250, 225 and 525 [Ans. (a) 15750] 
(a) 15750  (b)  15550 (c)  14750  (d)  16770  (e) none of these  

10. (i)   Find the L.C.M. of  0.6, 9.6 and 0.36[Ans. (d) 28.80] 
(a)  7     (b) 28   (c) 28.20   (d)  28.80     (e) none of these  

(ii)   Find the L.C.M. of 3, 1.2 and 0.06          [Ans. (b) 6.00] 
(a)  60.0    (b) 6.00     (c) 6.40   (d)  16.0      (e) none of these  

(iii)  Find the L.C.M. of 0.18, 2.4 and 60         [Ans. (c) 180] 
(a)  220    (b) 18.0      (c) 180   (d) 140 (e) none of these  

(iv) Find the L.C.M. of 1.5, 0.25 and 0.075    [Ans. (d) 1.5] 
(a)  2.5     (b) 15      (c) 28    (d) 1.5    (e) none of these  

11. (i)   Find the L.C.M. of  4 ½ , 3 and 10 ½    [Ans. (d) 63] 
(a)  93    (b) 33       (c) 236     (d) 63       (e) none of these  

(ii)  Find the L.C.M. of 8, 16/20 and 1&3/7      [Ans. (b) 40] 
(a)  20      (b) 40      (c)  10       (d)  45         (e) none of these  

(iii) Find the L.C.M. of 6/8, 2 ½  and 15/16     [Ans. (c) 7 ½] 
(a)  5 ½     (b) 9 ½     (c) 7 ½    (d)  7            (e) none of these  

12. (i) Find the least number which is exactly divisible  by  8, 12, 15 and 21.  [Ans. (b) 840]
(a)  460       (b) 840      (c) 860     (d)  846    (e) none of these  

(ii) Find the least number which is exactly divisible  by 72, 90 and 120.  [Ans. (c) 360]
(a)  260    (b) 630     (c) 360       (d) 620     (e) none of these  
          
(iii) Find the least number which is exactly divisible by 15, 55 and 99.  [Ans. (c) 495]
(a) 485     (b) 435   (c) 495       (d)  395   (e) none of these  
  
(iv) Find the least number which is exactly divisible by 35, 48 and 56. [Ans. (a) 1680]
(a)  1680     (b) 1860     (c) 1380   (d) 1830    (e) none of these  

13. (i) Find the least number which, when divided by each of the fractions 4/5, 3/10 and 12/35 gives a whole number as quotient in each case.  [Ans. (a) 2&2/5]
(a)  2&2/5 (b) 3&3/5  (c) 2&3/5 (d)  3&2/5   (e) none of these  

(ii) Four bells commence tolling together, they tall at intervals of 1, 1 ¼, 1½  and 1¾ seconds  respectively, after what interval will they tall together again?  [Ans. (d) 1 minutes 45 sec]
(a) 2 min. 40 sec (b )1 min. 40 sec (c) 2 min. 45 sec (d) 1 min 45 sec (e) none of these

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