Official Quant thread for CAT 2013

Two persons A and B have unequal number of items with them and they sell at different prices but earn the same sum.If A sells at B's price and B sells at A's price they would earn RS.19600 and rs 3600 respectively .If A has 144 items more than B ,how many total items do they have in all?

If x^100 has 31 digits then x^1000 has how many digits?

A ship starts from place P towards Q at a certain speed and travels 54 nautical miles. At this point, the wind conditions become favourable, increasing the speed of the ship by 20% so that, the ship reaches 1 hour before the scheduled arrival time. Had its speed increased after travelling 36 nautical miles more, it would have arrived only 50 minutes before the scheduled arrival time. What is the distance between P and Q in nautical miles?

270

216

288

306

8.

A student writes some consecutive positive integers starting from 1 but in the process, he misses writing an integer. If the average of the remaining integers is 501/11, what is the integer he missed?

91

82

10

81

The sum of the digits of a four-digit number is 31. What fraction of such numbers are divisible by 11?

@ashissanpui try this . 😁

Q5






Puys temme one or more best website for puzzle questions.....need help.

(Sry to post in the wrong section)

PQR is a right angle triangle with angle Q =90 degree , S is the mid point of PR , and QS =(117)^1/2 cm . The sum of the length of sides PQ and QR is 30 cm . Area of triangle PQR ?

OPTIONS
A)54
B)110
C)106
D) 108

APPROACH PLEASE

IN TRIANGLE PQR , the incircle touches the sides QR,RP AND PQ at T,U AND S. if the radius of the incircle is 4 unit and QT, RU and PS are consecutive integers , then what is the area of the triangle?

OPTIONS
A)42
B)84
C)64
D)96

APPROACH PLEASE

ABCD is a cyclic quadilateral and point A,B, and C form a equilateral triangle . what is the sum of the length of line segment DA AND DC?

options
a)DB
B)DB/2
C)DB^1/2


approach please

the sides of the triangle are given to be x^2+x+1, 2x+1,and x^2-1. then the largest of the tree angles of the triangle will be

options
a)75
B)120
C)135
D)none of these

approach please

for a regular octagon inscribed in a circle of radius 1 cm the product of the distance from the fixed vertex to seven other vertices is

option
a)4
B)8
C)12
D) 16

approach please

How many five digits numbers are there such that no following digit is more than its predecessor?

  • C(9,5)
  • C(10,5) -1
  • C(13,5)
  • C(14,5) -1

0 voters

Does anyone have Byju's Quant material they would like to share ??

Any suggestion for good online reference for Functions ..

By good I mean ... "Relevant to CAT"

A company has bought a new machine. The operating cost of the machine is Rs. 1,000 for the first year and it increases by Rs. 500 every subsequent year. The company has to run for a very long time (infinite) and there is no inflation in the cost. If the owner of the company is given a choice of replacing the machine after every 4, 5, 6, 8 or 10 years, what frequency of replacement (in years) should he choose in order to minimize the overall cost? Assume that the cost price of the machine is Rs. 15,000.






This is amazing blog for CAT puzzles........ Enjoy........

Direction for questions 1 to 5: Read the passage and answer

There are N numbers of gold biscuits in the house, in which 4 people are lived. If the first men woke up and divided the biscuits into 5 equal piles and found one extra biscuit. He took one of those piles along with the extra biscuit and hid them. He then gathered four remaining piles into a big pile, woke up the second person and went to sleep. Each of the other 3 persons did the same one by one i.e. divided the big pile into five equal piles and found one extra biscuit. Each hid one of the piles along with the extra biscuit and gathered the remaining 4 piles into a big pile. (Please give the explanation of your answer)

1) If N>1000, what could be the least value of N?

(a) 1249 (b) 1023 (c)1202 (d) 1246

2) If N

(a) 624 (b) 621 (c) 252 (d) 257

3) In the previous question, what is the sum of the number of biscuits hidden by the last two men?

(a) 142 (b) 144 (c) 180 (d) 178

Q.) 0.14141414 is a base 12 number and it can be written as p/q in base 12, then find p and q.

An equilateral triangle is to be cut into n number of identical small equilateral triangle plates . which of the following can be the value of n?

options
a)196
b)216
c)256
d)296
approach please