How many factors of 900 are integrals multiplies of 30?
a)30
b060
C)8
d)2
in how many ways can 576 be written as a product of two distinct factors?
a)11
b)21
c)10
d)20
A rectangle has an area of 44 square units and sides of it's integers. What is the sum of perimeters of distinct rectangles?a)124b)128c)168d)96
c ?
The number of ways in which 7! can be written as sum of some consecutive natural numbers is (a) 11 (b) 7 (c) 13 (d) 9
How many non zero integral values of x, y and z are there such that z^2 = x^2 + y^2 and z^2
a. 8
b. 16
c. 2
d. 32
In how many prime number less than 100 can be written as a sum of 2 prime number?a)3b)4c)8d)6
8
Remainder when 2^50 is divided by 97.
Please share your approach.
K is a 3 digit number such that the ratio of k to the sum of its digits is least. Find k.
Please explain approach.
A set S is formed by including some of the first 1000 natural numbers. S contains maximum number of numbers which:
1) No number of S is prime
2) Every number is co-prime to each other.
Number of elements in S?
Plz explain approach
How many 2-digit numbers Please explain approach
GCD of (1111.....hundred ones) and 111....sixty ones?
Please explain approach
10^n - (5 +root17)^n is divisible by 2^n+2 . Find n.
Please explain approach.
128^1000 divided by 153 gives remainder?
Please explain approach.
number of zeros in the expression:
1^1*2^2*3^3+...........*100^100
- 1225
- 1200
- 1300
- 1050
0 voters
A three digit number “xyz” is such that the number equals x! + y! + z!. Find the difference of the number formed by reversing its digits and the original number.
- 396
- Cannot be determined
- 297
- 495
0 voters
When the numbers 5, 7 and 11 divide a multiple of 17, the remainders left are 4, 6 and 10 respectively. Which multiple of 17 is the least number that satisfies the given condition ?
Please provide a detailed solution if known :)
- 325th
- 384th
- 317th
- 385th
0 voters
By adding which of the following numbers does the product of 15×16×17×18 become s a perfect square?
P is a three digit number, upon reversing P, another 3-digit number Q is obtained. Q > P and Q - P is divisible by 5. Which of the following is always true ?
- 115 < P < 515
- 100 < P < 499
- 105 < P < 505
- 110 < P < 510
0 voters
By adding which of the following numbers does the product of 15×16×17×18 become s a perfect square?
- 2
- 1
- 3
- 8
0 voters
What numbers have exactly 4 factors under 100?
Now The number will be of the form a^3 or a*b where a and b are both prime.
Does any1 has any shortcut to find how many such pairs of a*b are possible?
I don't want to go individually checking for the values.