Official Quant thread for CAT 2013

a+b+c=|10| . Find the number of solutions ? . Please explain with concept .


20!/23 remainder???

The population of a country

increases at a fixed percentage

each year.

then

Increase in population in the

first decade 1980-1990 ?

and

Increase in population in the

second decade 1990–2000 ?

If A is the sum of the squares of the first n natural numbers (where n

values of n will A be divisible by 5?

(a) 40 (b) 60 (c) 59 (d) 39

The number of roots common between the two equations x^3 + 3x^2 + 4x + 5 = 0 and

x^3 + 2x^2 + 7x + 3 = 0 is

If ( )( )

( )( )( )

3 2 3 2

2 2 2

x 5x 7x 3 x 5x 8x 4

0,

x 2 x x 3x 2 x 3x 4

− + − − + −≥

− − − + + +

where x is a real number, then which of the following

is correct?

(a) x ∈[−∞, 1] [2, 3] (b) x ∈[1, 2] [3, ∞) (c) x ∈[2, 3] (d) None of these

Find the remainder when 3040 is divided by 17.

a. 3
b.13
c.1
d.6

Elaborate method plz..
Btw correct ans is 1

Miller sold apples at 125% of

what it cost him. then


The profit made by selling 100 apples ?


The profit made by selling 200 apples at a further 10%

discount ?

ps:explain..

Find the remainder when 127^896 is divided by 455.

a. 4
b.386
c.441
d.37

elaborate method plz

From the first 20 natural numbers how many Arithmetic Progressions of five terms can be formed

such that the common difference is a factor of the fifth term?

(a) 16 (b) 22 (c) 25 (d) 26

From the first 20 natural numbers how many Arithmetic Progressions of five terms can be formed

such that the common difference is a factor of the fifth term?

(a) 16 (b) 22 (c) 25 (d) 26

If three positive real numbers x, y and z satisfy y – x = z – y and x y z = 4, then what is the

minimum possible value of y?

If a 6 o'clock the clock strikes 6times. The difference between the first and the last strike is 30 secs. Find the time taken when it strikes 12

answer is 54 ...i just want explanation please

Two brothers together own 5 shirts. They wear one each day to office except saturday and sunday, which are holidays. After coming home in the evening, they send the shirts which they had worn to laundary, which always returns the shirt next evening. In how many ways can the brothers wear shirt for two weeks, starting on Monday?
a) 1080
b) 400x6^8
c) 240
d) 200x6^8
e) none of these

Selling 12 candies at a price of $10 yields a loss of a%. Selling 12 candies at a price of $12 yields a

profit of a%. What is the value of a? @sanjeetkumar @Shubh.i @ahsish9virgo

What is the ideal method to study quant book by Arun Sharma?
Please help!

statements:

a.all mirrors are phones

b.some phones are gadgets.

c.all gadgets are mirrors


conclusions:

1.some gadgets are phones

2.some gadgets are mirrors.

3.some gadgets are not mirrors

4.some mirrors are phones


answer:

a.only 1 and 2 follows

b.none follows

c.only 2 and 3 follows

4.either 2 or 4 follows

in an examination the maximum marks for each of three paper is 50 and for the fourth paper is 100. find the number of ways in which a student can score 60% marks in aggregate.

options
a)3,30,850
b)2,33,551
c)1,10,551
d) none of these

approach please


Find the number of arrangements of the word 'MATHEMATICS' in which atleast 2 vowels occur together.

No OA available.

A vessel is filled to its capacity with pure milk. Ten litres are withdrawn from it and replaced by water. This procedure is repeated one more time. The vessel now has 32 litres of milk. Find the capacity of the vessel (in litres)??????/

40

45

50

55