If both 11^{2} and 3^{3} are factors of the number a * 4^{3} * 6^{2} * 13^{11}, then what is the smallest possible value of 'a'?
A.
121
B.
363
C.
3267
D.
33
2.
Find the greatest number of five digits, which is exactly divisible by 7, 10, 15, 21 and 28.
A.
99840
B.
99960
C.
99900
D.
99990
3.
10^{25} - 7 is divisible by
A.
9
B.
2
C.
3
D.
None of these
4.
When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?
A.
10
B.
7
C.
192
D.
None of these
5.
Find the G.C.D of 12x^{2}y^{3}z^{2}, 18x^{3}y^{2}z^{4}, and 24xy^{4}z^{3}
A.
B.
C.
D.
6.
Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?
A.
is even
B.
is odd
C.
is odd
D.
is even
7.
What is the value of M and N respectively? If M39048458N is divisible by 8 & 11; Where M & N are single digit integers?
A.
7, 8
B.
8, 6
C.
6, 4
D.
5, 4
8.
48 students have to be seated such that each row has the same number of students as the others. If at least 3 students are to be seated per row and at least 2 rows have to be there, how many arrangements are possible?
A.
4
B.
10
C.
8
D.
7
9.
The sum of the first 100 numbers, 1 to 100 is divisible by
A.
2, 4 and 8
B.
2 and 4
C.
2 only
D.
None of these
10.
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
Mathematics is a unit that is concerned with numbers. Decimals are number systems that use the digits as of 1 to 9. A decimal system can be of different bases such as 10 or 100. What do you know of the application of...