N is the smallest 5-digit number which when divided by 2, 2², 2³, ..., 2ⁿ leaves a remainder of 1. What is the value of n?
14
The smallest 5-digit number divisible by all powers of 2 up to 2ⁿ leaves a remainder of 1. The value of n is found to be 14. Hence, the correct answer is (c) 14.
A man starting from a place P went x metre (x > 120 m) East before turning South. He went 40 m straight before turning to West. He went 60 m to reach a place Q. From Q he went 200 m North and reached a place R. If PR = 200 m, then what is x equal to?
What is the least number of complete years in which a sum of money put out at 20% compound interest (compounded annually) will be more than doubled?
What is the value of 1 2 + 2 2 + 3 2 + ......21 2 ?
Which sequence is correct to represent the hierarchical chain of number system?
(Where N - Natural Numbers
W - Whole Numbers
Q - Rational Numbers
Z - Integers)
What must be added to 45680 to make it exactly divisible by 9?
How many zeroes are there at the end of the following product?
1 x 5 x 10 x 15 x 20 x 25 x 30 x 35 x 40 x 45 x 50 x 55 x 60
Let XYZ be a three-digit number, where (x + y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by