HCF & LCM MCQ SET 8
1. What is the least number of soldiers that can be drawn up in troops of 10 , 12 , 15 , 18 and 20 soldiers , and also in form of a solid square?
(a) 400
(b) 625
(c) 900
(d) 180
Answer: C
2. A fruit vendor brings 1092 apples and 3432 oranges to a market . He arranges them in heaps of equal number of oranges as well as apples such that every heap consists of the maximum possible number of the fruits . What is this number?
(a) 78
(b) 312
(c) 39
(d) 156
Answer: D
3. Four ropes of lengths 102m , 119m , 153m and 204m are to be cut into parts of equal length . Each part must be long as possible . What is the maximum number of pieces that can be cut?
(a) 42
(b) 36
(c) 252
(d) 34
Answer: D
4. A gardener had some plants for planting . He tried planting them in rows of 7 , 8 , 9 and 12 . But he always had one plant left . When he tried to plant 11 in a row , he had none left . Find the minimum number of plants with the gardener .
(a) 4631
(b) 1804
(c) 506
(d) 3025
Answer: D
5. Three pieces of cakes of weight 4 1/2kg , 6 3/4kg and 7 1/5kg respectively are to be divided into parts of equal weight . Each part must be as heavy as possible . If one such part is served to each guest , then what is the maximum number of guests that can be entertained?
(a) 20
(b) 54
(c) 72
(d) 41
Answer: D
6. Three runners running around a circular track , can complete one revolution in 2 , 6 and 6.5 hours respectively when they will meet at the starting point?
(a) 36
(b) 39
(c) 41
(d) 78
Answer: D
7. Swapnil , Aakash and Vinay begin to jog around a circular stadium . They complete their revolutions in 36 seconds , 48 seconds and 42 seconds respectively . After how many seconds will they be together at the starting point?
(a) 504 seconds
(b) 970 seconds
(c) 1008 seconds
(d) 470 seconds
ย Answer: C
8. A floor of a big ball has dimensions 30m 60cm , and 23m and 40cm . It is to be paved with square tiles of same size . What is the minimum number of tiles required ?
(a) 30
(b) 36
(c) 169
(d) 221
Answer: D
9. The dimensions of the floor of a rectangular room are 3m 60cm x 5m 40cm . It has to be covered with square tiles . What is the dimensions of the largest square tile that can be fitted? How many such tiles are required to cover the floor ?
(a) 180 x 180 , 6
(b) 180 x 180 , 9
(c) 120 x 120 , 12
(d) 90 x 90 , 8
Answer: A
10. A servant was hired for fixed days for which he had pay Rs.3239 . He was absent for some days , and only Rs2923 was paid , what was his maximum daily wages?
(a) 80
(b) 79
(c) 78
(d) 81
Answer: B
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