Official Quant thread for CAT 2013

If in an isosceles trapezium, the sides are in ratio of 4:4:4:5, what is the ratio of non parallel side to that of diagonal?


Find the perimeter of a right angled triangle with in radius = 10cm and circumradius=25cm?


(posting this questions for revision purpose)

A circle intersects the square at 8 distinct points such that the length of each chord formed by the sides of squares is equal to the radius of the circle, find the ratio of area of the circle to that of the square assuming radius = r units?


{Revision posts}

find the last digit of 14^14^14

The number of ways in which a cube can be painted with blue or green color?

In how many ways can the letters of the word MELANCHOLY be arranged such that E appears before A and A appears before O?

The last two digits of 1001*1234*3456*6789 is ?

What is the sum of all possible values of abc, if N= 999999abc999999999 is divisble by 17?

In ΔABC, D is the midpoint of BC. E is a point on AC such that AE : EC = 2 : 1 and F is a point on AB such that AF : FB = 3 : 1. Line segments AD and FE intersect at point O. What is the ratio of the area of ΔDOF to the area of ΔDOE?

A man, starting from a point P, takes exactly six equal steps. Each step is in one of the four directions – East, West, North and South. What is the total number of ways in which the man ends up at point P after the six steps?

last three digits of the multiplication 12345*54321 ? with method plz...👼

A natural number 'N' can be represented as the sum of three natural numbers 'a', 'b' and 'c'; where 'a' is the cube root of one-third of 'N', 'b' is the square root of one-sixth of 'N' and 'c' is five-sixth of 'N'. If N f N?

0

1

2

More Than 2

Summation of the series 10.11.12.13 + 11.12.13.14 + €Ĺš + 96.97.98.99?

{On popular demand of Shri Shri Ek Sau Aath @ralins Maharaj ki demand par options options options} :angel:

A 1806869592

B 1806869594

C 1806869596

D 1806869598

der r 2 nos of 2 dgts ech sch tat the tens dgt of the 1st no is 3/2 times the tens dgt of the 2nd no,while the sum of these 2 nos is 158. which of the following can be the diff bet them?


options are 58,71,36,40?
plz explain

brahma,vishu,mahesh are three friends with diffrent productivity .brahma working alone needs as much time as vishu and mahesh working together.while vishnu himself needs 8 hours more working alone then when he works with mahesh.brahma alone needs 8 hurs less than vishnu alone.in how many times brahma,vishnu,mahesh working together can complete the work together?


any1 xplain the approach


Consider set A=(1,1/2,1/3,....1/895) . A computer program operates on this set in such way that it removes any two elements and replaces them with a number which is the sum of the two numbers and their product . This operation is repeated 894 times till a single number is left . What is that number ?



  • 895
  • 447
  • 896
  • cannot be determined

0 voters

The function f(x) is defined for all positive values of x and y as f(xy) = f(x) + f(y). Also, f(2) = 2 and f(3) = 3. What is the value of f(64/81)

If a husband and his wife walks in for an interview and their probability of getting selected is 2/7 and 1/3 respectively.
What is the probability of?
a Both get slected
b Exactly one gets selected
c Neither gets selected

Discuss please, Maine PnC and Probablity chhua nahi abhi tak
:splat:


In a test taken by 100 students, 60 cleared cut-off in DI, 44 cleared cut-off in mathematics, 38 cleared cut-off in English and 27 students cleared cut-off in GK. 20 students cleared cut-off in all 4 sections. How many maximum students could have failed to clear the cut-off in all four sections ?? A.) 38 B.) 41 C.) 47 D.) 50 E) none of these

HI, CAN ANYONE TELL ME HOW TO SOLVE THIS.....
number of 0 in.... 1!^1*2!^2*3!^3*4!^4..........99!^99 ?