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1. Max power of 2 that divides 7! exactly -
1
2
4
3
2. Max power of 2 in 100! is -
91
97
34
23
3. Max power of 3! in 100! is -
48
45
12
2
4. Cyclocity of 1 is -
2
3
ifinite
1
5. Cyclociity of 2 is -
4
5
even number
1
6. Cyclocity of 3 is -
3
1
2
4
7. Cyclocity of 5 is -
5
10
15
1
8. Unit digit of number if number is 3 to the power 983 ?
7
1
3
4
9. unit digit of number,if number is 7 to the power 542 ?
7
2
9
1
10. Factorial of 5 is -
5
120
720
12
11. factorial of 7 is -
720
7
120
5040
12. Highest power of 4 in 10! ?
5
6
4
8
13. Highest power of 16 in 60! -
12
13
15
14
14. What will be the remainder when 1!+2!+3!+4!+.....+100! is divide by 4 ?
2
1
4
8
15. What will the remainder when 1!+2!+3!+........100! is divided by 24 ?
9
8
17
13
16. How many factors of 10! are a multiple of 7! ?
15
10
30
25
17. HCF of 36,24,108 is
13
12
24
108
18. HCF of 144,192,360 is -
12
1
24
2
19. The HCF of two natural number is 10. sum of these two natural number is 90. how many pair of number are possible ?
3
2
1
4
20. If the HCF of two natural number is 12, product of these two natural number is 1728. How many pair of number are possibe ?
1
4
2
3
21. Find the greatest number that on dividing 150,194,245 leaves a remainder of 6,2,5 respectively
12
24
48
64
22. Find the greatest number that on dividing 173,293,345 leaves a remainder of 3,4,5 respectively
34
17
14
24
23. Find the greatest number that on dividing 480,600,800 leaves a same remainder in each case.
40
30
15
70
24. If the HCF of 120 and N is 8, how many two digit value called N assumed?
5
6
7
21
25. HCF of 12,24,48,96,192,...........................
infinite
12
1
Not exist
26. HCF of 1,12,24,48,96,192,...........................
12
Infinite
1
None of the above
27. HCF of 13,11,17 ?
13
11
17
1
28. HCF of prime numbers is always -
Not exist
1
infinite
depends on numbet
29. LCM of 2,4,8,16,32,64 up-to 10th term is
2
1
64
1024
30. LCM of 34,68 is -
68
34
1
infinite
31. LCM of prime numbers pair is always -
Sum of numbers
infinte
product of numbers
always 1
32. How many factor of N are going to have 5 at the unit places, where N is (2 to the power 5) *(3 to the power 4)*(5 to the power 2)
10
20
0
1
33. Number is divisible by 2 if unit digit is divisible by
3
5
1
2
34. Number is divisible by 3
if sum of digit is divisible by 2
if sum of digit is divisible by 3
if sum of digit is divisible by 5
if product of digit is divisible by 3
35. number is divisible by 9 if
if sum of digit is divisible by 3
if sum of digit is divisible by 9
if product of digit is divisible by 4
if product of digit is divisible by 3
36. Number is divisible by 4
if last two digit is divisible by 4
if sum of digit is divisible by 4
Both of the above
None of the above
37. Number is divisible by 8
if last three digit is divisible by 8
if sum of digit is divisible by 8
Both of the above
None of the above
38. Number is divisible by 5 -
if unit digit is divisible by 0
if unit digit is divisible by 5
Both of the above
None of the above
39. Number is divisible by 10-
if unit digit is divisible by 5
if unit digit is divisible by 0
Both of the above
None of the above
40. Number is divisible by 11 -
if unit digit is divisible by 0
if unit digit is divisible by 5
Both of the above
None of the above
41. Number is divisible by 25 -
if last two digit is 00
if last two digit is 25
if last two digit is 75
1 and 2
42. Number is divisible by 6 -
if it is divisible by 2 and 3
if it is divisible by 1 and 3
Both of the above
None of the above
43. Highest power of 6! in 50! ?
12
13
11
None of the above
44. Highest power of 6 in 85! * 84! ?
81
82
42
92
45. Highest power of 6 in 85! - 84! ?
81
82
42
92
46. How many factor of 540,360,900 common to each other ?
18
19
20
21
47. LCM of 11 and 13 is
11
13
12
None of the above
48. HCF of 11,13,17,19,21 is
11
21
15
None of the above
49. unit digit of N is 5 where N is natural number, if N is multiply by any even number then unit digit become ?
remain constant
become zero
become one
None of the above
50. What should be multiply in 9 to become 27 ?
9
1
3
None of the above
51. Prime number is
11
13
37
All of the above
52. if 23*43*63 is divided by 4 then remainder is -
4
3
2
1
53. LCM of 4 and 8 is
4
1
8
6
54. Lcm of 45 and 90 is
5
46
45
None of the above
55. LCM of 56 and 112 is -
112
56
1
None of the above
56. HCF of 34,13 and 17 is
34
17
1
None of the above
57. HCF of 24,48,60 is
12
60
1
None of the above
58. Prime number is
12
14
15
None of the above
59. Prime numbers are those which are
natural number
divisible by 2
divisible by 3
divisible by 1 and itself
60. when 10 power of 2 is divided by 256 the leaves the remainder of ?
1
10
0
None of the above
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