2013 integers are arranged around a circle. Show that some consecutive pair has an even sum.
How many different 9 digits number can be formed using 445577222 by rearrangement of digits so that odd digits occupy even position?
- 9! / (2!.2!.2!.3!)
- 120
- 60
- none of d above
0 voters
A vendor sells his goods such that he makes a profit of x% on selling x items.
1) If fifth item is sold for 218, what will be the selling price of ninth item? (1)
a) 232 b) 234 c) 236 d)238
2) The difference between the selling prices of xth item and yth item is 4x-8.
Find the relation between x and y? (1)
a) y = 2x-2 b) x = 2y-2 c) No relation d) None of these
please solve the question .
please solve question number 15
Let/(x) = |x-2| + |x-4| — |2x-6j. Find the sum of the largest and smallest values of f (x) if x e [2, 8],
@techsurge Here you go. Graphical solution attached. (It looks complicated here, but is pretty quick to do in exam situation as long as you don't waste time on prettifying it) 😉
regards
scrabbler
What is the 12th digit from the left of (6007)^3?
The sequence 2, 3, 5, 6, 7, 10, … consists of all natural numbers that are neither perfect squares nor perfect cubes. Find the 76th term of this sequence.
[x] denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]^3 and {x}^2 is -7.91 . Find X...
plz post your approach...The numbers from 1 to m are written one after another as follows 1234567…….m. The resulting number is divisible by 3 if m is of the form (n is a natural number):
I. 3n II. 3n – 1 III. 3n – 2
a I only
b I or II only
c I or III only
d II or III only
e Cannot be determined
P denotes the sum of two three-digit numbers such that P is 606. How many of the 10 digits from 0 to 9 cannot appear as the last digit of the product of these two three-digit numbers?
The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?
Bill and Clinton take the square of a certain decimal number and express it in base 5 and 6 respectively. Then Bush comes and he takes the two representations and assuming that the expressions are in base 10, adds the numbers. Which of the following cannot be the value of the unit's digit of the sum obtained?
a 0
b 2
c 8
d 6
e 3
area of ABC=1 AF=AB/3 BE=BC/3 and ED=FD are of triangle ADC ?
1st 126 natural numbers are put side by side in the ascending order to form a large number : 12345....125126. What will be the remainder when this large number is divided by 5625
f(x) is defined for N. f(1)=0, f(n)=3f(n-1)+1 for n>=1. Find f(1003) -f(1001) 😃.
A square rug of dimension 11 x 11 is divided into 121 squares of size 1 x 1. The square in the middle of the rug is then painted black. How many rectangles are there such that the back square is not a part of the rectangle?