Official Quant thread for CAT 2013

In a multiple choice test comprsing 11 questions,wih true and false as the only answer option for any question,a student randomly guesses the answer for every question.If the probability of the student getting at least n questions correct is found to be 29/256,then find the value of n?

a)8 b)7 c)9 d)10

Approach plz

How many 7s are required to write all integrs from 1 - 10^8 ?


3.10^7 , 10^7 , 7.10^7 or 8.10^7 ?

I have the OA but not posting , however I am not convinced with the answer 😠 😠embarrased

f(n) = (1/(n+1)!) + 1, find sum of n=1 to 99 f(n) . Dnt have OA . Plz share approach .

  • 100!-1/100!
  • 100
  • none of this
  • 99-1/100!

0 voters

There are four magic boxes, A, B, C and D, which have 7, 2, 3 and 10 toffees respectively in them. If the number of toffees in these boxes double every second, then after 256 years the number of toffees in which of the following pair of boxes will be closest to each other?

If E= 8^3 + 9^3 + 10^3 + ............. + 374^3, then what is the remainder when E is divided by 382?

0
191

2
381

f(x) a function with domain 0

f(x)=2x if 0

f(x)=-2x+2 if 1/2

find the area between the curve y=f(f(f(x))) and the coordinate axes.


Puys please can anybody give me the solution with steps. its urgent.

Plz help

if A/B does that imply B/A>=0 ..?


the number of ways of forming a garland using 21 different flowers

  • 21
  • 20!/2
  • 20!
  • 21!

0 voters

A and B start simultaneously from M and N towards N and M resp. After they meet at P, Ajay increases his speed by 50% and returns to M, while bhuvan decrease his speed by 20% and returns to N. If ajay takes 60 mins for the entire journey , what is the time taken by bhuvan for the entire journey?

45min

96min
81min
CND

If f(x + 1) − f(x) = x and f(x) is an nth degree expression in x, then n =


(A) 2


(B) 3


(C) 4


(D) Cannot be determined

@vis1221 plz explain

Given 10 couples. In how many ways can 3 teams of 2 members each be formed such that no couple is part of the same team and each team consists of 1 man and 1 woman ?????

Don't have OA.. plz discuss

The 38th term and the 88th term of an arithmetic progression are 12 1/25 and 36 3/25 respectively. If the total number of terms in the progression is 175, what is the ratio of the sum of the first 75 terms to the sum of the last 100 terms of the progression?

a) 1 : 6

b) 1 : 7

c) 1 : 8

d) None of these

Pia and Ria start running simultaneously from the same point on a circular track of length 4200 m. If they run in opposite directions, they meet for the first time exactly after 2 minutes from the start and they meet at seven distinct points on the track. If they run in the same direction, they meet at three distinct points on the track. How much time (in minutes) does Ria take to complete one round, if she is the slower runner?

Find the integral solution of 1/m-1/n=1/97.

Answer the question

In a test consisting of 15 questions, 3 marks are awarded for a correct answer, 1 mark is deducted for an incorrect answer and no mark is awarded for an unattempted question. If a student attempts at least one question in the paper, what is the number of distinct scores that he can get?


Answer the question.

There are 10 points in a plane, of which 4 are collinear. How many quadrilaterals can be formed using any 4 of these points as vertices?

(a) 185 (b) 190 (c) 195 (d) 200

not able to understand this step