Official Quant thread for CAT 2013

I is a set of natural numbers

1) is a set of 3 digit numbers leaves remainder of 2 when divided by 4.

2) is divisible by 11 but not by 13.

Number of elements in I ?

the radius of the front tyre of a gypsy is 5/pie m long and that of the rear tyre is 7.5/pie m long. what is the distance travelled by the gypsy after the first tyre has undergone 6 more revolutions than the rear tyre?

150 m

100 m

144m

180 m

Triplets consisting of three different numbers are formed from number 1 to 10.

1. How many of these triplets are such that sum of numbers is divisible by 3.

37,42,36,38

2.How many of triplets formed are such that sum of numbers is divisible by 9 and do not have 9 in them? 7,6,9,10

PLEASE TELL ME HOW TO FIND THE SUM OF THE CUBES / SQUARES FIRST N EVEN NATURAL NUMBERS ANS SUM OF THE CUBES/SQUARES OF FIRST N ODD NATURAL NUMBERS ? URGENT

mg

How to find the number of co-prime pairs of a number?

Let △ABC be a right triangle with AB = 17, BC = 15, and CA = 8. Let CD be thealtitude to the hypotenuse and let the angle bisector at B intersect AC at F and CD at E. What is the value of BE : EF?

(Ans: 15 : 2)

Approach please.......

3.

A shopkeeper purchased a certain number of chocolates at र5 for 4 and the same number of chocolates at र8 for 5 from a different place. He sold all the chocolates at 6 for र10. Find the approximate profit / loss percentage.

16.96

18.23

17.85

19.21

Ramesh purchased a car for र1.5 lakhs by paying र17600 as down payment. He has to pay the remaining amount in three equal annual instalments at 10% per annum compound interest in three years. Fin

d the value of each instalment.

र42540

र48360

र51480

र53240

र55280

A natural number N has 'k' distinct prime factors. If the total number of factors of N is 72, then what

is the product of all the possible values of k?

(a) 180 (b) 60 (c) 24 (d) 120

Approach?

find no. of integral solns for, x + y=xy



If a number is written as 100100100100100100100 in Base 2, how will it be written in Base 8?

(a) 4444444 (b) 7777777 (c) 2222222 (d) None of these




a lateral side of an isosceles triangle is 15cm & the altitude is 8cm.What is the radius of the circumscribed circle?
a) 9.625 b)9.375 c)9.5 d)9.125

From Quants by Arun Sharma - Extra practice exercise on geometry Ques #5


Correct Ans - 225/16

number of real values of x satisfying the equation log4 (x - 4)2 + log8 (28 - 6x)3 = 1

a)1 2)0 3)2 4)3

Anuj likes to jog in a park. While jogging he also calculates his speed and number of steps taken by him. He observes that the steps taken by him per minute are 5 times his speed in km/hr. What is the distance he covers per step if he jogs at uniform speed. Ans is 10/3m..
plz post the approach.

Find the Reaminder of (13^90)/180?... Any shortcut for this..??

12 ppl are to sit along the sides of a large table which has 6 chairs on each side.

in how many ways can they be seated if 3 men wish to sit on one particular side and 2 men on other side?


An outlet pipe empties a tank which is full,in 10 hours.If the inlet pipe is kept open,which inlets at the rate of 8 litres/minute,the outlet pipe would take 6 hours longer,find the capacity of the tank.


Please explain also.
  • 12800 litres
  • 8600 litres
  • 11200 litres
  • 200 litres

0 voters

What are the no. of factors of 1000000 which are less then 1000 but do not divide 1000 ?

😁

Consider the set S = {1, 2 , 3 ,4,5.. 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements?

(1) 3

(2) 4

(3) 6

(4) 7