Arithmetic Reasoning Arithmetic Reasoning - Base Level

L.C.M. of 6, 5, 7, 10 and 12 is 420.

So, the bells will toll together after every 420 seconds i.e. 7 minutes.

Now, 7 x 8 = 56 and 7 x 9 = 63.

Thus, in 1-hour (or 60 minutes), the bells will toll together 8 times, excluding the one at the start.

Originally, let number of women = x. Then, number of men = 2x.

So, in city Y, we have : (2x - 10) = (x + 5) or x - 15.

Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 45.

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5, or 6 and no remainder when divided by 7.

Thus, the number must be of the form (L.C.M of 3, 4, 5, 6) x + 1 i.e., (60x + 1 ) and a multiple of 7.

Clearly, for x = 5, the number is a multiple of 7. So the number is 301.

Let 'x' be the number of new ₹2000 notes.

Given for one new 2000 note there are three old 500 notes.

=> 3x

Given 10 more new ₹2000 notes are added to the collection and the ratio of new ₹2000 notes to old ₹500 notes

=> x + 10 /3x = 1/2 => x = 20

Therefore, number of new ₹2000 notes => x+10 = 30.

Old ₹500 notes => 3x = 60.

Thus, the total number of notes in the collection => 30 + 60 = 90.

There were all parrots but six means that six birds were not parrots but only pigeons and koels.

Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6.

This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.

We know that, to be in the form that the number of rows and the number of columns to be equal the number should be a perfect square  

Given number is 1200

The perfect number which is above and near to 1200 is 1225 which is 35 x 35.

The minimum number of coins he need is 25.

Given number is 14278359

As given 1st and 5th digits, 2nd & 6th, 3rd & 7th and 4th & 8th digits are to to be interchanged.

Therefore, the rearranged number is 83591427

Then, the second digit from the right end is 2.

We know that

Sum of Interior angles of Polygon = 180( n - 2 )

Sum of Exterior angles of Polygon = 360

So 180( n - 2 ) = 2 x 360

Therefore, by solving we get n = 6 sides.

From the given information in the question

24 ÷ 4 + 6 - 3 x 4

6 + 6 - 12 = 0

Let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge.

'x' be speed of cow => '4x' speed of train

Then the total length of the bridge 2b + 10.

( a - 2 )/4x = b/x

=> a - 2 = 4b........(1)

Now if it had run in opposite direction

( a + 2b + 10 - 2 )/4x = ( b + 10 - 2 )/x

=> a - 2b = 24......(2)

Solving (1) and (2)

b = 11

Therefore length of the bridge is 2 x 11 + 10 = 32mts.