HCF & LCM - Practice Set 2

July 3, 2015    

Q1. 468 can be expressed as as a product of prime as :a) 2✘2✘13✘7✘2✘3 b) 2✘2✘13✘7 c) 2✘2✘13✘3✘3 d) 2✘2✘3✘3 ✘7 e) None of these
Q2. A number n is said to be perfect if the sum of all its divisor (excluding n itself ) is equal to n. An example of perfect number is:
a) 27 b) 35 c) 21 d) 6 e) None of these

Q3. 70105/21035 when expressed in simplest form is
a) 203/601 b) 2003/603 c) 2003/601 d) 2001/603 e) None of these

Q4. H.C.F. of 22✘33✘55, 23✘32✘52✘7 and 24✘34✘72✘5✘11 is :
a)22✘32✘5
b)22✘32✘5✘7✘11
c)24✘34✘55
d)24✘34✘55✘7✘11
e) None of these

Q5. 52✘3✘24✘22✘32✘7 Find the L.C.M.
a) 12300 b) 12600 c) 24600 d) 25200

Q6. H.C.F. of 4✘27✘3125, 8✘9✘25✘27 & 16✘81✘5✘11✘49 is:
a) 180 b) 360 c) 540 d) 1260 e) None of these

Q7. The greatest 5-digit number that is exactly divisible by 100 is:
a) 99899 b) 99800 c) 99900 d) 99889 e) None of these

Q8. What will be the remainder when (29)36 is divided by 28 ?
a) 0 b) 1 c) 29 d) 5 e) Cannot be determined

Q9. A number when divided by 627 leaves a remainder 43. By dividing the same number by 19, the remainder will be
a)19 b) 24 c) 43 d) 5 e) 13

Q10. The numbers 1, 3, 5 ... 25 are multiplied together. The number of zeroes at the right end of the product is :
a) 22 b) 8 c) 13 d) 6 e) 0

Q11. When a certain number is multiplied by 21, the product consist oof only fours. The smallest such number is:
a) 21164 b) 4444 c) 444444 d) 444 e) None of these

Q12. In a question, divisor is 2/3 of the dividend and twice the remainder. If the remainder is 5, then the dividend is
a) 85 b) 145 c) 225 d) 65 e) None of these

Solution

(1)
Sol : Option (c)
221333 = 468

(2)

Sol : Option (d)
n Divisors excluding n Sum of divisor
27
35
21
6

(3)

Sol : Option (c)
Sol: Option (a)
Sol:Option (d)
50+75+150+250+350
Sol: Option (a)
4✘27✘3125=23✘33✘55
8✘9✘25✘7=23✘32✘52✘7 
16✘81✘5✘11*49=24✘34✘72✘5✘11
 H.C.F. = 22✘32✘7 = 180
Sol: Option (c)
Sol: Option (b)
Sol: Option (d)
Sol: Option (e)
Sol: Option (a)
Sol: Option (e)

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HCF & LCM - Practice Set 2 4.5 5 Yateendra sahu July 3, 2015 Q1. 468 can be expressed as as a product of prime as : a) 2✘2✘13✘7✘2✘3 b) 2✘2✘13✘7 c) 2✘2✘13✘3✘3 d) 2✘2✘3✘3 ✘7 e) None of these Q2. A num...


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