Find the sum of all 2 digit numbers N=ab, where a≠0, such that N divides a0b. (The number, not a*0*b, just a0b, eg 401)
How many sums of square roots add up to the square root of 432?
There are 100 runners, each given a distinct bib labeled 1 to 100. What is the most number of runners that we could arrange in a circle, such that the product of the numbers on the bibs of any 2 neighboring runners, is less than 1000?
there are 4 applicants for the post of indian cricket captian and one of them is to be selected by the votes of 5 selectors. the number of ways in which the votes can be given is ?
secx+cosx=3 then tan^2(x) ??
Solve the inequality :
3|x-1|+(x^2) -7 >0
I have solved it in this way :
On removing modulus it becomes :(x^2) -7 > 3x-3 > 7-(x^2)
equation 1 :
(x^2) -7 > 3x-3
=> (x^2)-3x-4 >0roots = -1 and 4
Since it's discriminant id +ve the equation is +ve in the region :
(-infinity,-1) U (4,infinity]
equation 2 : 3x-3 > 7-(x^2)=> (x^2)+3x-10 >0
roots : -5,2
Since it's discriminant id +ve the equation is +ve in the region :
(-infinity,-5) U (2,infinity]
(-infinity,-5) U (4,infinity) => this is my final answer.
But the answer given is : (-infinity,-1) U (2,infinity)
Please explain the mistake in my method .
there is one grandfather, 5 sons and daughters and 8 grandchildren in a family. they are to be seated in a row for dinner . the grandchildren wish to sit at both the ends 4-4 seats .and the grandfather refuses to have a grand child on either side of him. find the number of ways in which family can be made to sit :
Suppose only multiplications are allowed, and we have to calculate x^31, find the least number of multiplications needed to calculate it. x belongs to R.
Consider two non overlapping rt. triangles, with a common hypotenuse of length 25 units. Find the sum of all possible different distances between their vertices of their right angles. Assume that all the legs of these two triangles are integers.
if x=2^1/3 + 2^-1/3 then find 2x^3 ?? pls share ur approach.. oa=6x+5.
amitabh covers a distance of 96KM in 2 hrs faster thn he planned to . This he achieved by travelling 1KM more every hour than he intended to cover every 1 hr 15 minutes. What was the speed at which Amitabh travelled during the journey.
2 ants start simultaneously from two ant holes towards each other. The first ant covers 8% of the distance between the two ant holes in 3 hours, the second ant covered 7/120 of the distance in 2 hr 30m . Find the speed (feet/hr) of the second ant if the first ant travelled 800 feet to the meeting point.
a bus left point X for Y . Two hrs later a car left point X for Y and arrived at Y at the same time as bus. If the car and the bus left simultaneouly from the opposite ends X and Y towards each other, they would meet 1.33 hr after the start> how much time did it take the bus to travel from X to Y.
Raghav was able to score a total of 600 in 12 tests. He scored less than or equal to 80% of his average score per test in 4 of these tests. If he didnot score more than 60 in any of the tests.,what is the minimum number of tests in which he should have scored more than 50?
7 coupons are selected at random one at a time with replacement from 15 coupons numbered 1 to 15. The probability that the largest number appearing on a selected coupon is 9 is.....
2 planes move along a circle of circumfrence 1.2 KM with constant speed. when they move in different direction they meet every 15 seconds and when they move in the same direction one plane oveertakes the other every 60 seconds. Find the speed of the slower plane.
If number of tens in a number is 3 times of the unit's place of the number.
if the last 2 digits of a number is reversed,number of tens in a number bcums twice the unit's place of the number.find the sum of the digits of the number
Kindly share method
Two trains travel towards each other on the same track at speeds of 60 km/hr and 80 km/hr, separated initially by a distance of 280 km. A bird flying from the faster train to the slower train and back at a speed of 150 km/hr continues doing so till the trains collide. What is the distance traversed by the bird in the direction of the faster train. Also find how many laps are made by the bird?
- 230 km, infinity
- 200 km, 200
- 180 km, infinity
- none of these
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for what n (10004)^n fourth digit isn't zero.?