Quantitative Aptitude - Arithmetic Ability Questions

Given expression = (45 x 750/100) - (25 x 480/100) = (337.50 - 120) = 217.50

Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event

∴A, B, C are independent events

Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4

 PA=12, PB=23, PC= 34

∴ P( none  solves the problem) = P(not A) and (not B) and (not C)  

                  = PA∩B∩C 

                  = PAPBPC         ∵ A, B, C are Independent                       

                  =  12×23×34  

                  = 14  

Hence, P(the problem will be solved) = 1 - P(none solves the problem) 

                = 1-14= 3/4

In the given series numbers are arranged following the rule,

55,44, 33, 22, 11

 Therefore, the missing number is 27.

52.5% of 800 + 30.5% of 2800 = ? + 87.30

420 + 854 - 87.30 = ?

1274 - 87.30 = ?

? = 1186.70

The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.

So, the next number is 8 x 9 = 72.

3 pairs of gloves = 2 x 54 = 108 ; 1 pairs of gloves = 36
3 pairs of leg pads = 2 x 36 = 1 pairs of leg pads = 24
3 cricket balls = 2 x 24 = 48
cost of 1 cricket ball = 16;

Here in the given number series 49, 81, 121, 169, 196, 225

Except 196 all others are squares of odd numbers, whereas 196 is a square of 14 which is an even number.

Hence, the odd man in the given number series is 196.

The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.