Official Quant thread for CAT 2013

A spider is sitting on the circumference of base circle of a conical tower whose base circle radius is 1 unit and slant length is 4 unit. It traverses the curved surface area around the conical tower once and returns to its original place again. Find the shortest possible distance traversed by the spider.


A. 2√ 2 B. 2π C. 4 D. 4√ 2

2 x 3 =49, 5 x 6 =2536, 1 x 9 =181, 4 x 7 = ?

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If 235 = 38 and 452 = 45, then 345 = ?

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6, 24,60,120,210, ?

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In the given fig. O represents the integer 0. A represents the integer 9 and X represents -7 on the number line.
If OG=GF=FE=ED=DC=CB=BA and OT=TZ=ZY=YX write the rational numbers represents by the points G,F,E,D,C,B,T,Z and Y

@ScareCrow28 @jaspunit and all Dekh lo ise 😁
P.S- Numbers number line ke upar likh diye h 😛 :mg: Sorry :splat:

47^35 mod 63 remainder...?

hey all..quant material at tathagat is very good .. dn do v need to go in for material of different institutes: TIME / IMS (aiming cat'13)... ?? pls suggest

Find the no of integers satisfying the inequality

(x^2+x+6)(x^2-x-20)


4

5

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8


Edited: 8 has been added

1. The remainder when the positive integer z is divided by n is r. What is the remainder when 2m is divided by 2n ?

(A) r(B) 2r(C) 2n(D) z – nr(E) 2(z – nr)

Find the number of real solutions to the equation {root(x+2)}/ 10 = |log|x||.(Assume the log base to be 10)

1> Find sum of first 40 terms : 2 +10 + 30 + 68 + 130 +......



@yashitajha

Find the number of real solutions to the equation {root(x+2)}/ 10 = |log|x||.(Assume the log base to be 10)



4

The side of the square in the given figure is 1 cm. Find the area of the shaded portion.

P.S. Excuse the lousy Paint Job. 😛

Hello puys...

Plz suggest me some sites where i can get quant practice questions...
Thank you...

N is a multiple of 12 above 999 and below 10000 such that when N is divided by 100, the remainder is same as the quotient . How many possible values of N ?



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Hey puys plz help me in these suppose there a series which follow a pattern how we find that pattern and how we find sum of suppose first 20 term any idea ????

Two series A (a1, a2, a3, ....an) and B (b1, b2, b3, ....bn) are in A.P. such that an – bn = n – 1, where an stands for the nth term of the series A, and bn for the nth term of the series B. It is also known that a6 = b8. Find the value of a101 – b121.

let

where a, b and c are distinct. Find the number of equations of the form ax^2 + bx + c = 0, that can be formed such that the equation has real roots.



sum of the infinite series is..

ďťż

Options

a 3/2

b 7/4

c 9/4

d 2

e 5/2



The equations x^2 + ax + b = 0 and x^2 + bx + a = 0, where a ≠b, have a common root. Then the equation whose roots are the other two roots of the given equations is


a x^2 + x + ab = 0

b x^2 – x + ab = 0

c x^2 + x – ab = 0

d x^2 – x – ab = 0