Tag: math & puzzles

Questions Related to math & puzzles

A worker is paid Rs.20/- for a full days work. He works 1,1/3, 2/3, 1/8, 3/4 days in a week. What is the total amount paid for that worker ?

  1. 55

  2. 57.5

  3. 60

  4. 52.5


Correct Option: B

There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square

  1. 11/14

  2. 22/27

  3. 13/27

  4. 13/14


Correct Option: A

There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems

  1. 36

  2. 72

  3. 108

  4. 44


Correct Option: B

There are four persons A, B, C, D; and A has some coins. A gave half of the coins to B and 4 more besides. B gave half of the coins to C and 4 more besides. C gave half of the coins to D and 4 more besides. Both B and D end up with same number of coins. How many coins did A have originally ?

  1. 96

  2. 84

  3. 72

  4. 64


Correct Option: C

AI Explanation

To solve this problem, let's go through the given information step by step:

Let's assume that A initially had x coins.

According to the given information:

  1. A gave half of the coins to B and 4 more besides. So, A gave (x/2 + 4) coins to B.
  2. B gave half of the coins to C and 4 more besides. So, B gave ((x/2 + 4)/2 + 4) coins to C.
  3. C gave half of the coins to D and 4 more besides. So, C gave (((x/2 + 4)/2 + 4)/2 + 4) coins to D.

Both B and D end up with the same number of coins. So, we can set up an equation:

((x/2 + 4)/2 + 4) = (((x/2 + 4)/2 + 4)/2 + 4)

Now, let's solve this equation to find the value of x, which represents the number of coins A initially had.

((x/2 + 4)/2 + 4) = (((x/2 + 4)/2 + 4)/2 + 4) (x/2 + 4)/2 + 4 = (((x/2 + 4)/2 + 4)/2 + 4) (x/2 + 4)/2 + 4 - 4 = (((x/2 + 4)/2 + 4)/2 + 4) - 4 (x/2 + 4)/2 = (((x/2 + 4)/2 + 4)/2) (x/2 + 4)/2 - 4 = (((x/2 + 4)/2 + 4)/2) - 4 (x/2 + 4)/2 - 4/2 = (((x/2 + 4)/2 + 4)/2) - 4/2 (x/2 + 4)/2 - 2 = (((x/2 + 4)/2 + 4)/2) - 2 (x/2 + 4)/2 - 2 = ((x/2 + 4)/2 + 4)/2 - 2 (x/2 + 4)/2 - 2 = (x/2 + 4)/4 + 2 (x/2 + 4)/2 - (x/2 + 4)/4 = 2 + 4 (2(x/2 + 4) - (x/2 + 4))/4 = 6 ((2x/2 + 8) - (x/2 + 4))/4 = 6 ((2x + 16) - (x + 8))/4 = 6 (2x + 16 - x - 8)/4 = 6 (x + 8)/4 = 6 x + 8 = 24 x = 24 - 8 x = 16

Therefore, A initially had 16 coins.

The correct answer is C) 72.

Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ?

  1. 27

  2. 36

  3. 43

  4. 480


Correct Option: B