The last digit of `(1!+2!++2005 !)^(500)` is (a) 9 (b) 2 (c) 7 (d) 1

Find the last digits of the number 7^(400) .

The last two digits of the number 3^(400) are (A) 81 (B) 43 (C) 29 (D) 01

Find the last two digits of the number 7^(400)

A seven-digit number without repetition and divisible by 9 is to be formed by using seven digits out of 1, 2, 3, 4 5, 6, 7, 8, 9. The number of ways in which this can be done is (a) 9! (b) 2(7!) (c) 4(7!) (d) non of these

An n-digit number is a positive number with exactly n digit Nine hundred distinct n−digit numbers are to be formed using only the three digits 2, 5, and 7. The smallest value of n for which this is possible is (a) 6 (b) 7 (c) 8 (d) 9

The radius of the tangent circle that can be drawn to pass through the point (0, 1) and (0, 6) and touching the x-axis is(a) 5/2 (b)Â 3/2 (c) 7/2 (d) 9/2

Let A-=(3,-4),B-=(1,2)dot Let P-=(2k-1,2k+1) be a variable point such that P A+P B is the minimum. Then k is (a)7/9 (b) 0 (c) 7/8 (d) none of these

If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then asqrt(1-a^2)+bsqrt(1-b^2)+csqrt(1-c^2) is equal to (a) a+b+c (b) a^2b^2c^2 (c) 2a b c (d) 4a b c

In A B C , if the orthocentre is (0,0) and the circumcenter is (1,2), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (c) (16)/7 (d) none of these