Numbers
Exam Duration: 45 Mins Total Questions : 30
The difference between the place value and the face value of 6 in the numerical 856973 is
- (a)
973
- (b)
6973
- (c)
5994
- (d)
none of these
The difference between the place values of two sevens in the numeral 69758472 is
- (a)
0
- (b)
6993
- (c)
699930
- (d)
none of these
7589-?=3434
- (a)
4242
- (b)
4155
- (c)
1123
- (d)
11023
\(666\div 6\div 3=?\)
- (a)
37
- (b)
333
- (c)
111
- (d)
84
- (e)
none of these
\(1397\times 1397=?\)
- (a)
1951609
- (b)
1981709
- (c)
18362619
- (d)
2031719
- (e)
none of these
\(106\times 106-94\times 94=?\)
- (a)
2400
- (b)
2000
- (c)
1904
- (d)
1906
- (e)
none of these
If (64)2 - (36)2 = 20 \(\times \) x,then x=?
- (a)
70
- (b)
120
- (c)
180
- (d)
140
- (e)
none of the above
\(\frac { 854\times 854\times 854-276\times 276\times 276 }{ 854\times 854+854\times 276+276\times 276 } =?\)
- (a)
1130
- (b)
578
- (c)
565
- (d)
1156
- (e)
none of these
If x and y are two digits of the number 653 xy such that this number is divisible by 80, then x+y=?
- (a)
2
- (b)
3
- (c)
4
- (d)
6
476**0 is divisible by both 3 and 11.The non-zero digits in the hundred's and ten's places are respectively
- (a)
7 and 4
- (b)
7 and 5
- (c)
8 and 5
- (d)
none of these
The sum of first 45 natural numbers is:
- (a)
1035
- (b)
1280
- (c)
2070
- (d)
2140
The sum of even numbers between 1 and 31 is:
- (a)
6
- (b)
128
- (c)
240
- (d)
512
How many prime numbers are less than 50 ?
- (a)
16
- (b)
15
- (c)
14
- (d)
18
If a and b are odd numbers,then which of the following is even?
- (a)
a + b
- (b)
a + b + 1
- (c)
ab
- (d)
ab + 2
- (e)
none of these
Which one of the following cannot be the square of a natural number?
- (a)
30976
- (b)
75625
- (c)
28561
- (d)
143642
- (e)
none of these
The largest 5-digit number exactly divisible by 91 is
- (a)
99921
- (b)
99918
- (c)
99981
- (d)
99971
- (e)
none of these
What least number must be subtracted from 13601, so that the remainder is divisible by 87?
- (a)
23
- (b)
31
- (c)
29
- (d)
37
- (e)
49
The smallest 5-digit number is exactly divisible by 41 is :
- (a)
10041
- (b)
10004
- (c)
10045
- (d)
10025
- (e)
none of these
The smallest 6-digit number exactly divisible by 111 is :
- (a)
111111
- (b)
110011
- (c)
100011
- (d)
110101
- (e)
none of these
In a division sum, the divisor is 10 times the quotient and 5 times the remainder.If the remainder is 46, what is the dividend?
- (a)
4236
- (b)
4306
- (c)
4336
- (d)
5336
- (e)
none of these
On multiflying 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
If n is a natural number,then(6n2 + 6n) is always divisible by :
- (a)
6 only
- (b)
6 and 12 both
- (c)
12 only
- (d)
by 18 only
Which of the following numbers will completely divide (4915 - 1) ?
- (a)
8
- (b)
14
- (c)
48
- (d)
50
A number was divided successfully in order by 4,5 and 6.the remainders were respectively 2,3 and 4. The number is
- (a)
214
- (b)
476
- (c)
954
- (d)
1908
When a number is divided by 13,the remainder is 11.When the same number is divided by 17,the remainder is 9.What is the number?
- (a)
339
- (b)
349
- (c)
369
- (d)
data inadequate
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37,the remainder will be :
- (a)
1
- (b)
2
- (c)
8
- (d)
11
How many 3-digit numbers are completly divisible by 6?
- (a)
149
- (b)
150
- (c)
151
- (d)
166
The sum of all even natural numbers between 1 and 31 is
- (a)
16
- (b)
128
- (c)
240
- (d)
512
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
- (a)
8
- (b)
11
- (c)
12
- (d)
13
- (e)
none of these
If the number \({ 97215 }^{ \ast }6\) is completely divisible be 11, then the smallest whole number in place of \(\ast \) will be:
- (a)
3
- (b)
2
- (c)
1
- (d)
5
- (e)
none of these