[Official] Quant Thread for 2015!

The sum of first 9 terms of the series:

(1^3)/(1) + (1^3+2^3)/(1+3) + (1^3+2^3+3^3)/(1+3+5)..... is:

  • 96
  • 192
  • 142
  • 71

0 voters

The sum of coefficients of integral powers of x in the binomial expansion of (1-2sqrt(x))^50 is:

  • 1/2*(2^50+1)
  • 1/2*(3^50+1)
  • 1/2*3^50
  • 1/2*(3^50-1)

0 voters

If the angle of elevation of the top of a tower from three collinear points A,B and C, on a line leading to the foot of tower are 30*,45* and 60* respectively, then ratio, AB:BC, is:

  • sqrt(3):sqrt(2)
  • sqrt(3):1
  • 2:3
  • 1:sqrt(3)

0 voters

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http://i.imgur.com/8gos9vB.jpg

Last two digits of 
11^9 - 9^11

http://i.imgur.com/IBn06n4.jpg


http://i.imgur.com/2MJGLWb.jpg

123412341234....(89times)
mod 19

http://i.imgur.com/7WrsT6l.jpg

The number of order triplets (x, y, z) such that x, y, z are primes and (x^y) + 1 = z is

(a) 0 (b) 1 (c) 2 (d) infinitely many

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find rem , when 1+5+5^2 +5^3+.......+5^25 is divided by 17 . 

http://i.imgur.com/n5ERqPg.jpg

find the remainder 555555...........93 times divided by 98....

please post approach..

Find the total number of ways in which 35 identical marbles can be distributed among five boys, such that each boy gets an odd number of marbles.


http://i.imgur.com/nxCtTVB.jpg

Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?

(a) 3 (b) 2 (c) 4 (d) 0 (e) 1

The two positive integers 'p' and 'q' satisfy (p+q)/t = HCF(p,q). Which of the following two numbers sum up to 't'?

13,52

132,96,

65,45

56,45

http://i.imgur.com/RGAVrcN.jpg