101. On multiplying a number by 7, the product is a number each of whose digits is 3. the smallest such number is: a)
47619
b)
47719
c)
48619
d)
47649
102. The difference of the squares
of two consecutive even integers is divisible by which of the following
integers?
a)
3
b)
4
c)
6
d)
7
103. The difference of the squares of two
consecutive odd integers is divisible by which of the following integers?
a)
3
b)
6
c)
7
d)
8
104. If n is a natural number, then (6n² +
6ṇ)
is always divisible by:
a)
6 only
b)
6 and 12 both
c)
12 only
d)
By 18 only
105.N is a whole number which when
divided by 4 given 3 as remainder. what will be the remainder when 2n is
divided by 4?
a)
3
b)
2
c)
1
d)
0
105.What will be the remainder
when (67⁶⁷+67)
is divided by 68?
a)
17
b)
16
c)
1
d)
2
106.Which of the following numbers
will completely divide (49⁶⁷ - 1)
a)
8
b)
14
c)
48
d)
50
108 .
(Xᶯ
- aᶯ)
is completely divisible by (X-a), when
a)
N is any natural number
b)
N is an even natural number
c)
N is an odd natural number
d)
N is prime
109.What will be the remainder
when 17²⁰⁰is
divided by 18?
a)
17
b)
16
c)
1
d)
2
110.Which one of the following
is the common factor of (47⁴³ + 43⁴³) and (47⁴⁷
+ 43⁴⁷)?
a)
(47- 43)
b)
(47 + 43)
c)
(47⁴³ + 43⁴³)
d)
None of these
ANSWERS:
101.(A)
102.(B)
103.(D)
104.(B)
105.(B)
106.(C)
107.(A)
108.(B)
109(C).
110.(B)
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