dream_blac_2013
(CAT 2013- Ultimate Realization of my Lifelong Dream)
31049
Can anyone here plz try their hands at these 2 sums-->
1) A,B,C can complete a job in 10days, working together. But only 2 of them can work together at a time. If all of them work for the same no. of days with the same efficiency, how many days would each have worked for when the job was completed?? [ 8, 12, 15, 18, 10]
2) There is a document that has 535 lines. Two readers A & B start reading the document, A starts from the 1st line, then reads the 2nd line & so on, reading at the rate of 100 lines/hr. B starts reading the document from the last line, then the 534th line & so on, at the rate of 50 lines/hr. Which line of the document starting from the first line will be read simultaneously by the two readers? [356, 277, 357, 267, None of these]
three variable x y z have a sum of 30. all three of them are non-negative integers .if any two variable dont have the same value and exatly one variable has a value less than or equal to three then find the no of possible solutions for the variables
no. of boys = 21 , no. of girls = 9 10.50 , 6.75.... a boy giving 1 coin to girl and girl giving back 1 75p coin to boy, results in 50p decrease in 25p for girls.... so 2 coins per 25p decrease.... so for equality 5.75 and 11, we need 4 such exchanges and hence 8 coins to be exchanged... i am not sure if there can be multiple answers but since nothing is mentioned , this has to be 1 solution....
three variable x y z have a sum of 30. all three of them are non-negative integers .if any two variable dont have the same value and exatly one variable has a value less than or equal to three then find the no of possible solutions for the variables
ABC is a right triangle with ∠ABC=90∘ with AB=30sqrt(3) and BC=30. D is a point on segment BCsuch that AD is the median. E is a point on segment ACsuch that BE is perpendicular to AC. AD and BE intersect at F. If EF=a sqrt(b)/c, where a and c are positive, coprime integers and b is not divisible by the square of any prime, what is the value of a+b+c?
Triangle ABC has side lengths AB=8, BC=12 and CA=14. Given that D, E and F are midpoints of BC, CA and AB, respectively. Find the value of AD^2+BE^2+CF^2.
Some Geometry questions from my end 1. E and F are the centers of two equal circles. The circles intersect at G and H.Neither circle has its center within the region of intersection. Which of the following cannot be the value of angle GEF? a. 30 b.40 c.50 d.60 e.70
2. In triangle ABC, AB = AC and D is a point on BC. Find BD if AB=17 ,AD=15 and CD=4
3.ABCD is a trapezium. AD || BC. AB=9;BC =12;CD=15;DA = 20. Find the magnitude of sum of squares of the two diagonals
There are 127 roses on a table and Saransh or Prateek can pick any number of roses from 1 to 7 in a round. The person who picks the last rose loses the game. If it is Prateek's turn first, how many roses should he pick in the first turn such that he always
An agent buys a T.V. set listed at Rs. 10000 and gets 10% and 20% successive discounts. He spends 10% of his C.P. on transport. At what price (in rupees) should he sell the T.V. set to earn a profit of 10%?
While selling a watch a shopkeeper gives a discount of 5%. If he gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is:
A shopkeeper marks the price of an article such that if two successive discounts of 20% are offered,he incurs a loss of 4%. What maximum discount can he offer such that he doesn't incur any loss?(a) 33.33% (b) 36% (c) 25% (d) 20%
