find reminder when 32^(32^32) is divided by 7
The largest number amongst the following that will perfectly divide 101^100- 1 is
a.100
b.10,000
c.100^100
d.100,000
How many keystrokes are needed to type numbers from 1 to 1000?
a.3001
b.2893
c.2704
d.2890
What number should be subtracted from x^3+ 4x^2- 7x + 12 if it is to be perfectly divisible by x + 3?
a.42
b.39
c.13
d.None of these
For what value of 'n' will the remainder of 351^n and 352^n be the same when divided by 7?
a.2
b.3
c.6
d.4
Find the smallest number that has exactly 18 factors.
a.288
b.768
c.180
d.None of the above
B as a percentage of A is equal to A as a percentage of (A + B). Find B as a percentage of A.
(A) 62% (B) 73% (C) 41% (D) 57%
How many natural numbers, n where n
15
16
17
18
How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'? (given a NOT EQUAL d)
A.0
B.1
C.2
D.MORE THAN 2.
How many integer pairs (x, y) are there such that x3 + 3x2 – 4x = 81y3 – 9y2 + 6y – 1?
There are 6 boys A, B, C , D , E and F. In how many ways can they stand in a line such that B is always behind A?
how many 9 are there in expansion of...
99999899999^2
number of distinct prime divisors/factors of 512³ - 253³ - 259³ ?????
A man crosses stationary train in 5 minutes. The same train crosses a pole in 48 seconds, What is the ratio between speed of man and speed of train..?
Evergreen question on speed distance and time :
A train an hour after starting , meets with an accident which detains it for a half hour, after which it proceeds at 3/4 of its former rate and arrives 7/2 hours late. Had the accident happened 90 kilometers farther along the line, it would have arrived only 3 hours late.
The length of the trip in kilometers was ??
Remainder theorem 😁
If the remainder obtained when P(x) is divided by (x^2-5x+6) is (x+3) and the remainder obtained when P(x) is divided by (x^2 -5x+7) is (x+4).
What is the remainder obtained when P(x) is divided by (x^2-5x+6)(x^2-5x+7)?
👍👍how to solve this??
1) a man sells a book @ profit of 20% if he had bought it @ 20%less and sold it for 18 rupees less he would have gained 25% find the cost price of the book.
ans: 90 rupees
2) by selling 66 meters of cloth I gain the selling price of 22 meters find % gain
ans: 50 %
Any way to access old CAT scores please?!
The compound interest and the simple interst for 2 years on certain sum at certain interst is 8280 and 7200. Find principal and interest rate?
Please explain
The ratio of harmonic mean to the geometric mean of 2 nos is 24/25. Find the ratio of the nos ?