Official Quant thread for CAT 2013

A Clock gains five minutes every hour. what will be the angle traversed by the second hand in one minute..
360
360.5
380
390

The number of ways in which 100 persons may be seated at 2 round tables T, and T2,50 persons being seated at each is :

Let/(x) = |x-2| + |x-4| — |2x-6j. Find the sum of the largest and smallest values of f (x) if x e [2, 8],

@hexagon

geometry


Please see attached. Orally ho sakta hai once you know the logic :)


regards

scrabbler

a sum of 2550 is borrowed to be paid back in 2 years by 2 equal installments . if 4% CI is allowed each installment will be ?

1345
1352
1432
none

@pooja.tandon

Think about all the 5 digit no. that can be formed using the digits 1,3,5,7,9.If these numbers are arranged in accending order, then the 500th no. is?

17599



11799



17999



19131 Skip



×

the total number of numbers which can be formed out of every 5 distinct digits is only 5! =120. there wont be any 500th number when they are arranged in ascending order

What will be the remainder when 12121212....300 times, is being divided by 99?

Find the greatest value of c such that system of equations x2 + y2 = 25, x + y = c has a real solution

😠

AB is a diametre of a circle whose centre is at O and C be any point on the circle. if CD is perpendicular to AB and CD= 12 , AD= 16 .find BD.

Triangles A and B are in the same plane. Each point on triangle B is interior to and 2 units from triangle A. If the side lengths of the triangle A are 13,14,15. Find the area of intersection of the interior of the triangle and exterior of triangle B.

Quite similar to the problem i posted two days back :-)

In a stream, B lies in between A and C such that B is equidistant from both A and C. A boat can go from A to B and back to C in 6 and 1/2 hours while it goes from A to C in 9 hours. How long would it take to go from C to A?

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Answer is 4hrs.
Puys Help 😠

how many ordered pairs (a,b) exist such that lcm of a & b is 2,3,57,1113 where (a,b) belons to natural number ?

2460

2835

2645

2840

@scrabbler please help with this question ..

If A, B, C, D four points lie in a plane and AB = AC = BC = AD, then how many possible values of angle BDC can exist ?
a) 1
b) 2
c) 3
d) none of these

Number of ways in which (n + 1) distinct toys can be distributed among n boys such that everyone gets at least one.
a) n*n!
b) 2*(n + 1)!
c) n(n + 1)!/2
d) (n + 1)!
e) None

Through the centroid of an equilateral triangle, a line parallel to the base is drawn. On this line, an arbitrary point 'P' is taken inside the triangle. Let 'h' denote the distance of 'P' from the base of the triangle. Let 'h1' and 'h2' be the distance of 'P' from the other two sides of the triangle. Then h in terms of h1 and h2 will be.

Find the last non zero digit of 96!

n is a positive integer and x² + 1 is a factor of xⁿ - x² - 2, then how many different values n can take for n a) 24
b) 25
c) 49
d) 50
e) None

There is a circle in which AB is a chord now taking AB as a diameter we draw a semi circle within that large circle again we draw a chord that is tangent to this semicircle named CD given that AB is parallel to CD & AB and CD are 16 and 8 cm respectively find the radius of the bigger circle.

ABC is a triangle with circumcenter O, obtuse angle BAC and AB less than AC. M and N are the midpoints of BC and AO respectively. Let D be the intersection of MN with AC. If AD=1/2(AB+AC), what is the measure (in degrees) of ∠BAC?