Official Quant thread for CAT 2013

The Howrah-Puri express can move at 45 km/h without its rake and the speed is diminished by a constant that varies as the square root of the number of wagons attached. If it is known that with 9 wagons, the speed is 30 km/h, what is the greatest number of wagons with which the train can just move? 

A 10 L cylinder contains a mixture of water and sugar, the volume of sugar being 15% of total volume. A fesi litres of the mixture is released and an equal amount of water is added. Then, the same amount of the mixture as before is released and replaced with watel for a second time. As a result, the sugar content becomes 10% of total volume. What is the approximate quantity of mixture released each time?

a. 1 L

b. 1.2 L

c. 1.5 L

d. 2 L

e. 2.2 L

(Please explain with solution).

A trader selles two bullocks for rupees 8400 each neither lossing or gaining in total.if he sold one of the bullock at a gain of 20%  then the other is sold at a loss of??                 Plz solve it in alligation way

How many 4 digit numbers have the sum equal to 12?

A treacherous fruit vendor, while purchasing apples from the wholesaler, manages to receive 25% more apples than the quantity for which he pays. He cheats his customers as well and while selling the apples to them he delivers (50/3) %  less apples than the quantity for which the customers pay. If he claims to sell the apples at their cost price, find his net profit percentage.

thanks for the post 

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In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. What is the probability That a randomly chosen employee is a male or female?

Logical explanation to this question would be appreciated

ABCDEFGH is a regular OCTAGON where the diagonals AC and BH intersect at O. What is the measure of angle(AOH) ?.

Please mention the approach as well.

I am unable to find CAT 2009-CAT2014 papers .

if anyone has them please PM me .

HOW MANY DIFFERENT SUM CAN BE FORMED BY USING COINS OF 5 RS,1 RS,50 PAISE,25 PAISE,10 PAISE,3 PAISE,2 PAISE,1 PAISE?

Pl give approach


http://s30.postimg.org/pero5sns1/q_a.png

Approach for the challenging question without eqs and only logic .


http://s21.postimg.org/rau43e8l3/image.png

plz tell

51,57,102,324,?,6390

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The number of distinct points at which the curve y3 - 5y2 + x2 + 6y - 5x = 0 intersects either the x-axis or the y-axis is 

A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 30 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone ?

frustum of a cone having top radius , base radius and height as r, R , h respectively. find the ratio of the curved surface area of the smaller cone to that of the original cone. (A)1:8 (B) 2:7 (C) 1:9 (D) 1:3 also find ratio of the slant height of the frustum to that of the original cone. (A) 1:2 (B) 3:4 (C) 5:6 (D) 2:3 can any plz explain the solution for this question..

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