PE 2 - Numbers | Algebra - Number Theory
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How many even numbers from 10 to 10,000 are not perfect squares (including both)?
Solution
Discuss
ReportIf the last 2 digits of a four-digit number are interchanged, the new number obtained is greater than the original number by 72. What is the difference between the last two digits of the number?
- (a)
9
- (b)
1
- (c)
6
- (d)
8
- (e)
Cannot be determined
LCM of two numbers x and y is 143. Find the value of |x – y|, given that y > x, x > 1.
- (a)
30
- (b)
15
- (c)
41
- (d)
165
- (e)
Cannot be determined
XX and YY are 2-digits numbers such that their sum is ABA. Find the value of A + B + A?
- (a)
4
- (b)
3
- (c)
2
- (d)
1
- (e)
5
Three consecutive whole numbers are such that product of smallest and the largest number is one less than the square of the middle number. Find the middle number.
- (a)
6
- (b)
18
- (c)
12
- (d)
31
- (e)
All of these
A = 11 × 22 × 33 × 44 × … 100100. How many zeroes will be there at the end of A?
If x is a prime such that (x4 + 1) is also a prime, then how many values are possible for x.
- (a)
0
- (b)
1
- (c)
2
- (d)
more than 2 values
In how many ways can 14 be written as a product of two or more distinct integers, without considering two integers with the same absolute value but opposite signs?
‘N’ is a two-digit number less than 50 such that when the unit’s digit of ‘N’ is erased, the resulting number is a factor of ‘N’. How many possible values of ‘N’ are there?