What is the remainder of (3!+6!+12!+24!+48!+96!) divided by 66
X,Y and Z are three distinct natural numbers. The sum of these numbers is 12. Find the value of XYZ
Three friends, Ranjeet, Sahil and Tarun, have different sums of money with them. If Ranjeet gives away half of his sum to the other two, then Sahil and Tarun together would have 8 times as much money as Ranjeet. If Sahil gives away a third of his sum to the other two, then the Ranjeet and Tarun together would have 3½ times as much money as Sahil. If Tarun gives away a fourth of his sum to the other two, then the Ranjeet and Sahil together would have twice as much money as Tarun. If all the sums involved are an integral number of rupees, which of the following cannot be the sums with Ranjeet, Sahil and Tarun respectively?
A)638, 957, 1276
B)200, 300, 400
C)426, 636, 848
D)346, 519, 692
Four numbers are chosen from among the first 15 natural numbers such that they form an increasing Arithmetic Progression. What is the sum of all such progressions formed?
A)960
B)585
C)768
D)465
umesh purchased a tata nano recently , but the faulty car odometer of tata nano proceds from digit 4 to digit 6 missing digit 5 , regardless of its position. if the odometer now reads 003008 . how many km the nano actually travelled ?
4-digit positive integers are formed by using the digits 1, 2, 3, 4 and 5 exactly once. If all the numbers formed are multiplied, how many consecutive zeroes will the product end in?
A)24
B)39
C)34
D)18
A train, 600 m long, starts from Pune to Jammu at 5:40 p.m. At the same time, another train, 350 m long, starts from Jammu to Pune on a parallel track. On the way, the train from Pune crosses a tunnel in 35 seconds while the train from Jammu crosses the same tunnel in 40 seconds. After crossing each other inside the tunnel, the trains reach Jammu and Pune 4 hours and 9 hours later respectively.
What is the length of the tunnel?
A)700 m
B)450 m
C)750 m
D)1050 m
A rectangle is such that it can be perfectly cut into smaller squares of a maximum possible side of length 12 units. It is also known that the perimeter of such a rectangle is 384 units. How many distinct rectangles satisfy the criteria given.
Options:
a) 4
b) 3
c) 8
d) 6
e) 10
What is the area bounded by (|x|+|y|-9)*(|x|+|y|-5)
a one digit number which is tens digit of a two digit number X, is subtracted from X to give Y which is the quotient of the division of 999 by the cube of initial one digit number . find the sum of digit of X?
Is a=b?
The equation 3x + 11y = k where k is a 2 digit number has exactly three solutions in which both x and y are positive integers. which of the following is not a value of x?
a) 5 b) 17 c) 25 d)19
What is the highest two digit number which gives same remainder when divides 752 and 992
- 24
- 240
- 80
- 60
- 120
0 voters
What is the highest possible value of 'n' for which (3^1024) €“ 1 is divisible by 2^n ?
Approach please
can a square intersect a circle at 8 distinct points??
solve and explain
How many different signals can be made by hoisting 5 different colored flags one above the other, when any number of them may be hoisted at a time??
A string of a certain length is cut at random at two points. Find the probability that they can be three sides of a triangle?
Let N=777....7 upto 2n+1 digits,when n>3.Find the remainder when N is divided by 1232?
A woman sells to the first customer half her stock of apples and half an apple, to the second customer half an apple and half of her remaining stock and so also to a third and to a fourth customer. She finds that she has now 15 apples left. How many had she at first?
- 250
- 125
- 255
- 155
0 voters