Official Quant thread for CAT 2013

two telegraph poles of height a and b resp, are on the opposite sides of a road,the wires are drawn frm the top of one pole to the bottom of another(for both the poles),both the wires are taut,how high above the ground will the wires cross each other?

a)2ab/a+b

b)ab/2(a+b)

c)ab/a+b

d)a+b/2

PLZ PROVIDE APPROACH.

there are two balls touching each other circumferentially.The radius of big ball is 4 times the diameter of small all.The outer ball rotates in anticlockwise direction circumferentially over the bigger one at the rate of 16rev/sec.The bigger wheel also rotates anticlockwise at Nrev/sec.What is N for the horizontal line from the center of small wheel is always horizontal

Suppose a and b are two roots of the equation x2 – (α – 4) x + α = 0. Find out the maximum possible value 5ab - a2 - b2.


@krish1234 --- see the attachment below...

C1 - x and A C1 is radius of the small circle ie 10 cm
C2 - y and A C2 is radius of the big circle 17 cm.
let C1 B be equal to k, so C2 B becomes 21-k
17^2 + (21-k)^2 = 10^2 + k^2
solving this u will k = 6..
AB = root of (10^2 - 6^2) = 8..
AD = 8*2 = 16..

find the number of terms in the expansion of ...(1+x+x^5)^10

Q4






@krish1234 PFA

(1+ tan 1)(1+ tan 2)(1 + tan 3)...(1+ tan 45) ?

A tap can fill a drum in 60 minutes. When it has been open for 20 minutes a hole is made at the bottom to drain the water away. The drum is filled after a further period of 120 minutes. In how many minutes can the hole alone can empty the entire drum.
90
120
60
150
The answer is 90 but can anyone please share the approach thanks

Find the remainder of 2^133/133

1
2
128
131

@Devanki

Find the remainder of 2^133/133 12128131



128

N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N?1. 5 2. 7 3. 9 4. None of the above


There are three circles, they share a similar area. The similar area is 1/10 of the biggest circle, 1/6 of the second biggest circle, and half of the smallest circle. What is the ratio of the circles?( biggest, second biggest, smallest)

1729^17280/1001 remainder=???????

Any TIME Delhi student please PM me i need some information

Have a doubt in the solution of this question from Proc Mock 4

In a certain colony, the number of people who drink only tea, only coffee, both tea and coffee and neither tea nor coffee are x, 2x, 111/x and 111/3x respectively. The number of people who drink tea can be

a)37

b)111

c)40

d)None of these



In how many ways can 4 boys and 5 girls be seated in a row such that no two boys sit together?
(a) 3600 (b) 2880 (c) 43200 (d) 362880

If (24)^k is a factor of 5! × 10! × 15!, what is the largest possible integer value of k?


(a) 5 (b) 7 (c) 11 (d) 4

Guyzz.. i am a newbie... how to go throught arun sharma with CAT in mind???... i have heard that LOD 2 qstns are closest to the CAT level... could someone give me more insight on hw to use this book to its max?... thanks in advance...


Two horses are tethered at the midpoints of two adjacent sides of a square field. Each of them is tied with a rope that does not allow it to go beyond the centre of the field for grazing. If the length of a side of the field is 8 m, what is the ratio of the areas of grazed to non-grazed regions?