[Official] Quant Thread for 2015!

how

many 4 digit numbers are there such that the sum of digits is 10..

please explain the approach as well


Find the no of positive integral solution of equation A+ B+ C = 12 such that A> B> C.

P is the product of first 30 multiples of 30. N is the total number of factors of P. In how many ways N can be written as the product of two natural numbers such that the HCF of these two natural numbers is 19? 3,4,5,6 

Any short cut method?

Consider the shaded region in the given graph. Find the number of points in the shaded region (including the boundary lines) which have integral coordinates. 

http://i.imgur.com/h8m65vB.png

find the the remainder when 3^10-1/2 is divided by 44?


http://imgur.com/s8QLpVB

http://imgur.com/W5m05Rq

http://imgur.com/wgoJ1zY

Approach ?

How many real values of x satisfy the equation 2]x[ + 5 = 9x?
]x[ represents the lowest integer greater than or equal to x.

Can someone suggest me cutoff for OBC caste in CAT 2016?

Please clear the concept in the following question what is the least possible number which when divided by 2, 3, 4, 5, 68 leaves it the remainders reminders 1, 2, 3, 4, 5 respectively. Now i know that first we'll take LCM of 1 2 3 4 5 6 and then subtract the difference between divisors and remainders from them to get our answer but why we do it in this way?

A cube with each side equal to 1323 cm is cut into smaller cuboids with identical dimensions in such a way that there is no wastage and the dimensions of the smaller cuboids are in integral centimeters. In how many ways can this be achieved if the smaller cuboids cannot be cubes with equal dimensions? 

DOUBT:  we have to find ordered triplets of (len,bre,height) or unordered ?? @psycho.munna @sagarcat 

The sum of 'n' consecutive natural numbers is equal to 840. The number of possible values for n

@psycho.munna dekho

HI

How to solve questions like 

Find no. of integer solutions of |x-1|+|y+1| is less than 5...

I mean it can be done by drawing graph but it qt would take lot of time and chances of errors while countin diff solutions...any other easier approach?


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http://s20.postimg.org/72fvg0ugd/image.jpg

Approach?

How many terms are there in the expansion (1+x^2+x^4)^10 when expanded?

pls explain d approach also

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(20!+20^23)/23 , find the remainder.

If P(x) = (x + x^2 + x^3 + x^4 + x^5 + x^6)^3, what is the coefficient of x^7? pls explain d approach also


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Find the number of ways 14 identical and indistinguishable balls can be divided into 3 groups?

1. 16 

2. 17

3. 18

4. 19

Approach Please. TIA

A fruit dealer fixes selling price of watermelon juice in such a way that he ends up earning a profit of 30% after paying tax, which is 13% of the cost price. A shopkeeper buys watermelon juice from the dealer and marks up the price by 15% and then adds 25% water to the juice. He then gives a discount of 4% on juice to his customers and thereby sells juice at Rs. 98.67 per litre. What is the cost price per litre of the watermelon juice for the fruit dealer?