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
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 2^{2}×3^{3}×5^{5}, 2^{3}×3^{2}×5^{2}×7 and 2^{4}×3^{4}×7^{2}×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. 5^{2}×3×2^{4}×2^{2}×3^{2}×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 5digit 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
(2)
Sol : Option (d)
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 theseQ3. ^{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 2^{2}×3^{3}×5^{5}, 2^{3}×3^{2}×5^{2}×7 and 2^{4}×3^{4}×7^{2}×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. 5^{2}×3×2^{4}×2^{2}×3^{2}×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 5digit 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)
Sol : Option (c)
2✘2✘13✘3✘3 = 468
(2)
Sol : Option (d)
n  Divisors excluding n  Sum of divisor 

27 
3✘9✘1

13

35 
5✘7✘1

13

21 
3✘7✘1

11

6 
3✘2✘1

6

(3)
Sol : Option (c)
(4)
Sol: Option (a)
(5)
Sol:Option (d)
50+75+150+250+350
=875
(6)
Sol: Option (a)
4✘27✘3125=2^{3}✘3^{3}✘5^{5}
8✘9✘25✘7=2^{3}✘3^{2}✘5^{2✘7}
16✘81✘5✘11*49=2^{4}✘3^{4}✘7^{2}✘5✘11
H.C.F. = 2^{2}✘3^{2}✘7 = 180
(7)
Sol: Option (c)
(8)
Sol: Option (b)
(9)
Sol: Option (d)
(10)
Sol: Option (e)
(11)
Sol: Option (a)
(12)
Sol: Option (e)