Arithmetic Reasoning Arithmetic Reasoning - Expert Level

7 boxes & 24 Balls.

Let, n = No. of boxes ; m = No. of fruits

3n+3 = m---------->(1)

4(n-1)= m---------->(2)

=>4n-4 = 3n+3;

=>4n-3n = 4+3

n = 7

Put n=7 in eqn(1)

=> 3(7)+3 = m

21+3 = m

m = 24;

Number of boxes = 7 and fruits = 24

As given

200 cats kill 200 mice in 200 days

1 cats kill 1 mouse in 200 days

Then

8 cats kill 8 mice in 200 days.

If After p years , commodity X will cost 60 rupees more than the commodity Y, then

320 + 60p = 740 + 20p + 60

=> p = 12

So in year (2002 + 12 = 2014), commodity X will cost Rs.60 more than the commodity Y.

Let X be number of houses and y be colors.

on the basis of question

X = 4Y+1

X = 5(Y-1)

on solving these 2 equations X = 25

The nine pieces consist of 8 smaller equal pieces and one half cake piece.

Weight of each small piece = 15 g.

So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

At 1 pm ... Distance between A and B = 2x3.5 = 7 kms

At 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms

At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.

....

....

....

At 7 pm distance between A and B = 3 kms.

From 7 pm to 8 pm, speed of A = 3.5 kmph

speed of B = 8 kmph

Relative speed = 4.5 kmph

Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.

So meeting time is 7 : 40 PM.

Total number of cards = 1500

Total columns = 45

so, total punches=1500 x 45 = 67500

for 1 hour if we make 9000 punches,

we require 67500/9000 = 7.5

so 7hours:30mins.

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.

V - x = A + x --- (1)

If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.

V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)

From (1) we have V - A = 2x

Substituting V - A = 2x in (2)

6x = 30 => x = 5.

Fruits reduced by 1/4.

Total no. of bags N = 5

Formula to find no. of fruits in 1st bag = 4^n

Last Bag = 4 fruits.

That means, 4th bag = 4 x 4 = 16 fruits

3rd bag = 16 x 4 = 64 fruits

2nd bag = 64 x 4 = 256 fruits

1st bag = 256 x 4= 1024 fruits.

No. of students will be 98 x 12 = 1176

let us consider n circles then 1 + 2 + 3 + ....+ n = 1176

n(n+1)/2 = 1176

n = 48 circles.