Official Quant thread for CAT 2013

From 2003 to 2004 , the number of boys in a class increased by 25% and the number of girls decreased by 50/3%. If girls form 25% of the total students in 2004, what percentage of the total students in 2003 are boys?

What is the area of a triangle whose medians 9cm, 12 cm, intersect at right angles?

F(x) + F (x-1) = x^2... Given that f(29) = 88. Find value of f(88).. Please post approach as well.


IN a UG and PG college with total strength of 1000, 26% of the students are gils. There are 520 PGs and 38 more male UGs than female UGs. What percent of the males are UGs????

The value of (x,y) if x^y = y^x and x^2 = y^3 isis ?
please answer im stuck😠

(1.2)^n = (1.728) , how to calculate the value of n???? please tell?

There are two numbers such that , if both of them are individually increased by 5 and then by the same percentage as they were increased in the first instance, each would result in 36. Find the difference between the two numbers???? please solve completely

TD had two types of grapes.One is fresh grapes containing 80% water and dry grapes containing 25% water.He sells dry grapes by adding water to the grapes,at cost price.What is the total profit percentage when after adding water the weight of 20kg of dry grapes increased in the proportion of water in fresh grapes ? :thumbsup:
275% 200% 80% 125%

Teenager shoe company sells the shoes whose prices i,e CP and SP are multiples of 13,14,15,16,17,18 or 19,starting from Rs 399 to Rs 699 ( i,e 399292 398 298 300👍

Bhaiyo ye wala dekho mast Q. h,
.
A motorist uses 12% of his fuel to cover 18%of his total journey for non-city driving conditions. he knows that he has to cover another 24% of his total journey in non-city driving conditions. what should be the percentage decrease in his fuel efficiency, for city driving over non-city driving, so that he just complete his entire journey without a refill???

Jamesh Bharadwaj,a dishonest trader marks up his goods by 80% and gives discount of 25%. Besides he gets 20% more amount per kg from the wholesaler and sells 10% less per kg to customer. What is his overall profit percentage?
80% 70% 60% 50% :thumbsup:

Parag starts building a boundary wall 2 ft thick and 6 ft high. He is joined by Ramesh on every second day and by Sameer on every third day. If this working pattern is continued, then who is/are not working on the day the wall is completed?

I. The boundary wall is 176 ft long.

II. Individually Parag, Ramesh and Sameer can build the wall in 24 days, 44 days and 32 days respectively.

Choose the correct option:

A)

if the question can be answered with the help of any one statement alone, but not with the help of the other statement alone

B)

if the question can be answered with the help of both statements together

C)

if the question can be answered with the help of either statement alone

D)

if the question cannot be answered even with the help of both statements together

In an election of three candidates A,B and C. A gets 50% more votes than B. He also beats C by 2,40,000 votes, C beats B by 5 percentage points. Find the number of votes polled????

In triangle ABC, AM is perpendicular on BC and AN is the angle bisector of A. find angle MAN in terms of A,B,C.

plz help out with this one.

two circles of equal radii are drawn, without any overlap, in a semicircle of radius 2 cm. if these are the largest possible circles that the semicircle can accommodate, what is the radius of each circle?

options
a)0.414
b)0.828
c)0.172
d)0.586

approach please

a quadrilateral is inscribed in a circle . if the angle is inscribed in each of the segments outside the quadrilateral , then what is the sum of four angles?

a)270
b)360
c)540
d)720

approach please
SOLUTION ATTACHED

@sam111111

plz help out with this one.



€‹I have added the attachment.

A teacher wrote the numbers from 1 to 31 on the black board in their binary form.Find the total number of 1's that are there on the blackboard?

A)80 B)31 C)40 D)30
How to proceed if it was 1 to 63/127 instead of 31?

@jasneetdua here is the solution :smile: