1- The set {x:(x-3)(x-5)>0} is equal to - (a) {x: 3
{x:x (c) {x:x{x:x > 5} (d)none of these
OA- (c)
Please explain.
Aman and Naman study in Schools A and B respectively. One day, 42% of the students of School A were transferred to School B. As a result, School B has 56% more students than School A. What is the smallest possible value of the original number of students in School B?
Perfect square 36 = sum up to 1 - 8
Perfect square 1225 = sum up to 1 - 49
The next perfect square (n) and sum up to 1 - x
find (n) and (x) ?
Let a and b be positive integers. When a is divided by b, the quotient is 4321 and the remainder is 1234. What is the smallest and largest possible remainder when a is divided by 2b?
i made a grid of 11 X 11.... now there will be 12 lines vertically and horizontally.. the mid square which is at (6,6) is painted black.. now i considered the block below the black square which is a rectangular grid of 5 X 11... now for this grid there are 12 lines vertically and 6 horizontally..
so selected any 2 of the 12 and then any 2 of the 6.... this multiplied by 2...
In base n 0.17171717.... and 1/5 are numerals for the same number Find n.
The two adjacent sides of a quadrilateral are 6 cm and 8 cm long. What is the maximum possible area of the quadrilateral (in sq cm) if it is inscribed in a circle of radius 5 cm?
(a) 45 (b) 48 (c) 49 (d) 50
I have a trivial doubt. Can anyone help me solving----
Submission of (n+1)/n from 1 to 50.
Basically, this question will boil down to the series 1 + 1/2 + 1/3 + .... which I am not able to solve.
Kindly Help 😃
Two consecutive numbers are removed from a list of first 'n' natural numbers. The average of the remaining numbers is 64/3
What is the product of the two numbers that have been removed?
a. 210 b. 756 c. 240 d. Cannot be determined
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 >0roots : -5,2
Since it's discriminant id +ve the equation is +ve in the region : (-infinity,-5) U (2,infinity]
And then I have taken the intersection of both these ranges,which results in :
(-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 .
please solve it
a cyclist moves on a circular track of radius 100 mt completes one revolution in 2 minutes. what is the avg speed of the cyclist?
a train moves at a speed of 120
km/h for 1 KM and at 40KM/H for the next 1 KM. gind avg speed
Permu & Combu
Ten Different letters of an alphabet are given.Words with five letters are formed from given letters . the numbers of words which have at least one letter repeated is .....
30240
100000
66790
69760
99748
😁😁😁
a start from a pt on the circumfrence of a circle moves 600 mt in the north direction and then again moves 800 mt East and reaches a point diametrically opposite the starting point. Find the diameter of the circle.
Ram and shyam runs a race of 200om. First ram gives shyam a start of 200 m and beats him by 30s. Next ram gives shyam a start of 3 min and is beaten by 1000m. Find the time in minutes in which Ram and shyam can run the race seperately.
You are a maker of hot air balloons and wish to construct a balloon that will lift you and a friend to places unknown. Your standard balloon design is a perfectly spherical, nylon fabric balloon with a small hole on the bottom for the burner that heats the air. Nylon starts to degrade if the air temperature exceeds 120o C, so you don't want to exceed this temperature for your hot air. What is the minimum radius in metres you need for your balloon ?Details : You, your friend, the balloon, the burner, and the basket have a total mass of 300 kg. The ambient pressure is 1 atm=101,325 Pa and the temperature of the surrounding air is 20 C. Air has a molar mass of μ=29 g/mol.
a boat went downstream for 28 km and immidiately returned. It took the boat twice as long to make return trip. If the speed of the river flow were twice as high the trip downstream and back would take 672 minutes. Find the speed of boat in still water and the speed of the river flow.
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 >0roots : -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 .