Find the sum of all integers c, such that for some integers a and b satisfying aa(b−c)^4+b(c−a)^4+c(a−b)^4=836a less than b and b less than c
ABC is an equilateral triangle with side length N. X is a point within ABC, such that the distance from X to the vertices A,B,C are 8, 13 and 15, respectively. What is the value of N^2?
Three concentric circles have radii 3,4 and 5 . Find the largest area possible of an equilateral triangle with one vertex on each circle .
1. (25_/3 +36)/4
2. 25_/3 / 4
3. (5_/3 + 36)/4
4. (25_/3 + 24)/4
correct ans is 1
ABC is an equilateral triangle with side length N. X is a point within ABC, such that the distance from X to the vertices A,B,C are 8, 13 and 15, respectively. What is the value of N^2?
Check the attachment
The roots of x^2 + 3x + c = 0 are α and β while the roots of x^2 + 21x + d = 0 are β and γ. If α, β and γare in Arithmetic Progression, then what is the value of c/d?👍
70% of the students who joined xyz last year play football, 75% play cricket, 80% play basketball and 85% play carrom.
Sorry made a calculation mistake.. It's 45.. I solved using stick diagram, see attachment..
Refer attachment..
in the time minute hand moves 60 mins, hour hand covers an effective distance of 5 mins..
So, in the time min hand moves 120 + y mins, hour hand will move 10 + y/12 mins..
Now let 10 + y/12 + y = 60
==> y = 50 * 12/13
distance moved by hour hand ==> 10 + y/12 where 2 is effective distance of 2 hrs..
y/12 = 50 / 13
distance of 1 hr for hour hand = distance of 5 mins for min hand
distance of 50/13 mins = 10/13 hr
So ans 2 10/13 🍻
The sum of thirty-two consecutive natural numbers is a perfect square. What is the least possible sum of the smallest and the largest of the thirty-two numbers?(a) 81 (b) 36 (c) 49 (d) 64👍
a rectangular piece of paper ABCD is folded along EF so that C and A coincide. If AB = 12 cm, BC = 16 cm, find BE.
a. 3.5cm
b. 4.5cm
c. 5cm
d. 8cm
e. 12.5cm
From a rectangular metal sheet of width 3 cm and length 40 cm, at most how many circles each of radius 1 cm can be cut?
a. 20
b. 21
c. 22
d. 23
e.. 24
A unit square is drawn in the Cartesian plane with vertices at (0,0),(0,1),(1,0),(1,1). Two points P,Qare chosen uniformly at random, P from the boundary of the square and Q from the interior of the square. The line L1 through P and Q is drawn. The probability that the points (0,0) and (1,1) are both on the same side of L1 can be expressed as a/b where a and b are coprime positive integers. What is the value of a+b?
Great Northern Airlines flies small planes in northern Canada and Alaska. Their largest plane can seat 16 passengers seated in 8 rows of 2. On a certain flight flown on this plane, they have 12 passengers and one large piece of equipment to transport. The equipment is so large that it requires two seats in the same row. The computer randomly assigns seats to the 12 passengers (no 2 passengers will have the same seat), The probability that there are two seats in the same row available for the equipment can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?
Hi,
I am having problems in solving questions like this :
"
A, B, C, D, E, F, G and H are eight employees of an organization working in three departments viz. Personnel, Administration and Marketing with not more than three of them in any department. Each of them has a different choice of sports from football, cricket, volleyball, badminton, lawn tennis, basketball, hockey and table tennis not necessarily in the same order. D works in Administration and does not like either football or cricket. F works in Personnel with only A who likes table tennis. Eand H do not work in the same department as D. C likes hockey and does not work in marketing. G does not work in administration and does not like either cricket or badminton. One of those who work in administration likes football. The one who likes volleyball works in personnel. None of those who work in administration likes either badminton or lawn tennis. H does not like cricket.
1.Which of the following groups of employees work in Administration department ? (1) EGH (2) AF (3) BCD (4) BGD (5) Data inadequate
2. In which department does E work ? (1) Personnel (2) Marketing (3) Administration (4) Data inadequate (5) None of these
3.Which of the following combinations of employee-department-favourite sport is correct? (1) E – Administration – Cricket (2) F – Personnel – Lawn Tennis (3) H – Marketing – Lawn Tennis (4) B – Administration – Table Tennis (5) None of these
4.What is E's favourite sport ? (1) Cricket (2) Badminton (3) Basketball (4) Lawn Tennis (5) None of these
5.What is G's favourite sport ? (1) Cricket (2) Badminton (3) Basketball (4) Lawn Tennis (5) None of these"
Can anyone tell me how to approach these types of problems? I mean is there any thread for this?
Thanks in advance. 😃
@leodash
A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to the point on that side which is closest to P. The probability that the sum of the lengths of these segments is less than or equal to 9√3 can be expressed as a/b where aand b are coprime positive integers. What is the value of a+b?
Check the attachment
The cost of coal for a steam engine is proportional to the cube of its speed. At a speed of 10 kmph, coal costs are Rs. 30 per hour and all other expenses add upto Rs. 480 per hour. Find the speed of the engine (in kmph) at which the sum of expenses per km will be the least.
Apurva can do a piece of work in 12 days. Apurva and Amit complete the work together and were paid Rs54 and Rs81 respectively. How many days may they have taken to compete thye work together???
"Answer with Expalnation"
friends please suggest me which book to purchase quantum cat by servesh verma or arun sharma...i found on PG that servesh verma is good for very basics but is it good for sufficient practice..
p.s. m in dilemma...arun sharma or servesh verma..i got response from no where so posting here..m relly sorry for spaming 😐
manoj takes twice as much tm as ajay and thrice as much tm as vijay to finish a piece of work. Together they finish thee work in 1 day. what is the tm taken by manoj to finsh the work???
If 12 men and 16 boys can do a poece of work in 5 days and 13 men and 24 boys can do it in 4 days, compare the daily work done by a man witht hat done by a boy???
I have used boy days and reached till 1M=2B, then what to do???
An engineer undertakes a project to build to build a road 15km long in 300 days and employs 45 men for the purpose. After 100 days, he finds only 2.5lm of the road has been completed. find the (approx) no. of extra men he must employ to finish the work in time???