[Official] Quant Thread for 2015!

One man can do as much work in one day as a woman can do in 2 days. A child does one third the work in a day as a woman. if a estate owner hires 39 pairs of hands, men, women, children in the ratio 6 : 5 : 2 and pays them in all rupees 1113 at the end of the days work. what must be the daily wages of the child?

if  x lies between 10 and 20 ( including the extremes)

and 2y- x =2

find the maximum value of x/( x+y)

7^7^7..Inf div by 29 leaves rem. ?

http://imgur.com/AUfrIV2

solution guys

If x2 + 1/x2= 1, find the value of x42 + x48 + x54 + x60 + x66.

x + y + z + w = 17, where x, y and z are natural numbers and x ≥ 1, y ≥ 3, z ≥ 1 and w ≥ 2. What is the maximum value of (x - 1) (y + 3) (z - 1) (w - 2)?

A tap can fill an empty drum in 60 minutes. 20 minutes after the tap is opened, a hole is made at the bottom of the drum to drain the water away. The drum is filled after a further period of 120 minutes. In how many minutes can the hole alone empty the entire drum of water?

Approach please

How many numbers between 6000 and 9000 are co-prime to 9000?

Proof of p-1 ! Div by p gives rem 1

http://s20.postimg.org/qmngmp4fh/image.jpg

17! By 23. Find remainder .

How many terms are there in the expression (1 + x2 + x4)10 when it is expanded?

7+77+777+...100 terms . find rem when div by 8

i have a doubt here <smiley data-src="/emoji/disappointed.png" alt="disappointed" title="disappointed" class="emoji" data-sigil="lazyload emoji" data-cdn="sm"></smiley> someone please clarify


http://s1.postimg.org/bwl3eqofj/screenshot_878.jpg

sum of series 3, 4, 6, 9, 13, 18, .........

can anyone explain how the nth term of the series is n(n-1)/2 + 3 ?

The product of 2 non zero two-digit numbers (*A) and (A*) is a three digit number (*B*) having non zero digits. 

A,B and * are non zero distinct digits. Find the difference between A and B?

Given a right-angled triangle ABC, with right angle at B. AB = 6, BC = 8. P, Q and R are midpoints of the sides AB, BC and CA respectively. BM, the altitude from B, meets PQ at N. What is the value of the product QN x NP?  1) 1.24 2) 5.76 3) 4.8 4) 6.25

The product of the digit of a two digit number is twice as large as the sum of its digits. If we subtract 27from the required number, we get a number consisting of the same digits written in the reverse order...? 

Guys how to form a equation on this problem?

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