Download Number System Practice set

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Number System
Practice set
1. The number which is divisible by 9, is
a)2350821
b) 2870052
c) 4213533
d) 6400080
2. The smallest prime number is
a)
0
c) 2
d) 3
3. In the following the number divisible by 11 is
a)
45678940
b) 54857266
c) 87524398
d) 93455120
4. Which is the greatest two-digit prime number?
a)
93
b) 97
c) 89
d) 101
5. The greatest prime number by which 871 is exactly divisible is
a)
13
b) 1
c) 67
d) 871
6. Which of the following is a prime number?
a)
15
b) 33
c) 13
d) 39
7. How many prime numbers are between 70 and 100?
a)
7
b) 8
c) 5
d) 6
8. Total prime numbers between 0 and 100 are
a)
31
b) 29
c) 25
d) 23
9. Zero is a
a)
c) positive integer
d) negative integer
Natural number
b) 1
b) integer
10. Which is the smallest number by which dividing the number 216, the resultant is a perfect square?
a)
6
b) 4
c) 9
d) 3
11. The nearest number to 99548 which is divisible by 687, is
a)
99481
b) 99615
c) 99550
d) 99540
12. Which of the following is a multiple of 11?
a)
978626
b) 112144
c) 447355
d) 869756
13. The sum of squares of first 50 natural numbers is
a)
40000
b) 58725
c) 42925
d) 255075
14. Which of the number is neither prime nor composite?
a)
0
b) 1
c) 3
d) 2
15. A number has two digits. If a number obtained by replacing the digits to each other, is added to original number,
then the number thus formed will be exactly divisible by the number
a)
11
b) 9
c) 5
d) 3
1
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16. What is the sum of first 25 natural numbers?
a)
320
b) 325
c)400
d) 600
17. The difference of quotient and remainder obtained by dividing a number by 19 is 9 Then the number is
a)
370
b) 352
c) 361
d) 371
18. Which of the following is divisible by 99?
a)
114345
b) 3572404
c) 135792
d) 913464
19. The remainder is 19, if a number is divided by 199. If this number is divided by 17 the remainder will be
a)
10
b) 2
c) 3
d) 7
20. The smallest five-digit number which is exactly divisible by 41, is
a)
10045
b) 10004
c) 10041
d) 10025
21. Which of the following number has maximum number of divisors?
a)
99
b) 101
c) 176
d) 182
22. N is a number which is divisible by 19. If (N + 1)(N + 8) is divided by 19 then remainder will be
a)
3
b) 6
c) 8
d) 9
23. The maximum integral value of n for which
a)
3
n2  n  6
is an integer, is
n
b) 2
c) 6
24. The number of prime factors of the expression 610 × 717 × 1127 is
a)
54
b) 64
c) 71
25. Which smallest number should be added to 5537 to make it divisible by 34?
a)
27
b) 29
d) 5
e) None of these
d) 8
d) 81
c) 7
26. When a number is divided by 121. The remainder is 25, if the same number is divided by 11, then remainder will
be
a)
1
b) 2
c) 4
d) 3
27. 1+ 2+ 3 + 4 + …. + 49 + 50 + 49 + 48 + ….+ 3 + 2 + 1 is equal to
a)
2525
b) 2500
c) 1250
d) 5000
28. The largest value of x for which 5 × 793 × 4 is divisible by 3 is
a)
9
b) 7
c) 4
d) 3
29. If a number is divided by 133, the remainder is 21. If this number is divided by 19, then remainder will be
a)
1
b) 2
c) 7
d) 21
30. If 12 + 22 + … + x2 =
a)
2
1330
x  x  12 x  1
, then 12 + 32 + 52 + …. + 192 is equal to
6
b) 2100
c) 2485
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d) 2470
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31. The unit’s place digit in (124)372 + (124)373 is
a)
5
b) 4
c) 2
d) 0
32. The unit’s place digit in (2464)1793 × (615)317 × (131)491 is
a)
0
b) 2
c) 3
d) 5
33. In a question of division, divisor is 12 times of quotient and 5 times of remainder. If remainder is 48, then
dividend is
a)
4848
b) 676
c) 250
d) 5800
34. If n is an integer, then (n3 – n) is always divisible by
a)
4
b) 5
c) 6
d) 7
35. The unit’s place digit in 771 × 663 × 365 is
a)
1
b) 2
c) 3
d) 4
36. Unit’s place digit in (122)173 is
a)
2
b) 4
c) 6
d) 8
37. Unit’s place digit in 328 × 1142 × 735 is
a)
1
b) 3
c) 5
d) 7
38. In a question of division, divisor is 4 times of quotient and is 3 times of remainder. If remainder is 4, then
dividend is
a)
36
b) 40
c) 12
d) 30
39. Divisor is 25 times of quotient and 5 times of remainder If quotient is 16, then dividend is
a)
6400
b) 6480
c) 400
d) 480
40. If 13 + 23 + …. + 103 = 3025, then 4 + 32 + 108 + ….. + 4000 is equal to
a)
12000
b) 12100
c) 122000
d) 12400
41. The two – digit number, which when divided by sum of the digits and product of the digits respectively, the
remainder is same and the difference of quotients is one, is
a)
14
b) 23
c) 32
d) 41
42. If N(N + 2) and (N + 4) are prime numbers, then the number of possible solutions for N are
1
a)
b) 2
c) 3
d) None of the above
2
43. The smallest positive prime (say p) such that 2p – 1 is not a prime is
a)
5
b) 11
c) 17
d) 29
44. A number consists of two digits whose sum is 10. If the digits of the number are reversed then the number
decreased by 36, which of the following is/are correct?
a)
The number is divisible by a composite number
b)
The number is a multiple of a prime number.
Select the correct answer using the code given below.
i.)
Only I
ii. ) Only II
iii) Both I and II
iv) Neither I nor II
3
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45. The remainder when 17200 is divided by 18 is
a)
0
b) 1
c) 2
d) 3
46. How many natural numbers between 19 and 80 are divisible by 6?
a)
9
b) 10
c) 11
d) 12
47. If ‘a’ is a natural number then number(s) dividing 6a2 + 6a is/are
a)
6
b) 12
c) 6, 12
48. How many perfect squares lies between 120 and 300?
a)
5
b) 6
c) 7
49. (12 - 22 + 32 - 42 + 52 - 62 + …… + 92 - 102) is equal to
a)
-55
b) 55
d) 36
d) 8
c) -56
d) 56
50. The smallest number, which when divided by 12 or 10 or 8 leaves remainder 6 in each case, is
a)
246
b) 186
c) 126
d) 66
NUMBER SYSTEM
ANSWER SHEET
1-d
11 b
21 - c
31- d
41 - c
4
2-c
12 a
22 c
32 a
42 -a
3-d
13 - c
23 - d
33 - a
43 - b
4-b
14 b
24 b
34 c
44 d
5-c
15 a
25 d
35 d
45 b
6-c
16 b
26 d
36 a
46 b
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7-a
17 - d
8-c
18 - a
9-b
19 - b
10 - a
20 - b
27 - b
28 - b
29 - b
30- a
37 - b
38 - b
39 - b
40 - b
47 - c
48 - c
49 - a
50 - c
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