x as a percentage of y is equal to y as a percentage of (x+y).  Find y as a percentage of (x+y).

  1. 50%
  2. 66.6%
  3. 62%
  4. 33.33%

A solid, 3*3  inch cube has all the faces painted in red color
cube is cut into 1*1 smaller cubes
how many of the one inch cubes will have 2 faces painted in red?

Who died due to heart attack in Rishikesh, Uttarakhand, after a 111-day hunger strike

demanding the government to clean river Ganga?

a GD Agarwal

b Mohan Singh

c kunal Gandhi

d Anand Agarwal

Seven people P, Q, R, S, T, U, V are sitting in a row. (may or may not be facing in same direction).

  • U is three places away from S and is second to the right of T, who faces south.
  • S sits at an end. T and S are not adjacent to each other and are facing different directions.
  • P Is to the immediate left of U.
  • Q is adjacent to neither T nor P.
  • R is second to the right of P.
  • P and U face different directions.
  • V is to the left of Q and right of R. V faces north.

Which of the following the position of V

  1. Second to the right of U
  2. Immediate right of S
  3. Third to the left of P
  4. All of the above.

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Seven people P, Q, R, S, T, U, V are sitting in a row. (may or may not be facing in same direction).

  • U is three places away from S and is second to the right of T, who faces south.
  • S sits at an end. T and S are not adjacent to each other and are facing different directions.
  • P Is to the immediate left of U.
  • Q is adjacent to neither T nor P.
  • R is second to the right of P.
  • P and U face different directions.
  • V is to the left of Q and right of R. V faces north.

Who sits immediately left of R?

  1. T
  2. No-one
  3. U
  4. Can’t be determined

How many different positive integral values, less than 1000, y = x[x] can take where x is a positive real number.

Note:- [x] is greatest integer less than or equal to x
For eg.  [3.5] = 3, as 3 is the largest integer less than or equal to 3.5
Similarly [4] = 4, [3.99] = 3
1. 31
2. 496
3. 30
4. None of these


If [x] = k (an integer), then
x can be k, k + 1/k, k + 2/k, ……, k + (k – 1)/k

So, for every integer k, we will have k values

Now, k can not be 32, as then the lest value of y will be 1024

So, answer will be 1 + 2 + 3 + … + 31 = 496

Find total number pairs of natural numbers that satisfy the equation x+3y = 3xy?

  1. 0
  2. 1
  3. 2
  4. Infinite many