Quantitative Aptitude - Arithmetic Ability Questions

Number of non - negative integral solutions =n+r-1 Cr-1 = C223 = 253 

Let the selling price of the rice = Rs.P/kg

Now, according to the question,

1040 - 100p = 30p

=> p = 8/kg

Hence, the selling price of the rice = Rs. 8/kg

Given,

mean of 100 observations is 40

=> Total of 100 observations = 40 x 100 = 4000

84 is misread as 48

=> Difference = 84 - 48 = 36

=> Now, new total of 100 observations = 4000 + 36 = 4036

Correct Mean = 4036/100 = 40.36

Area = (l + b – d) d

= (80 + 60 – 10)10

=> 1300 sq.mts

=> 1300 x 3 = Rs.3900

Now, take percentage of milk and applying mixture rule

25          100

       50

50            25  = 2 : 1

Hence required answer =  1/3 or 33.33%

Let the three numbers be x, y, z.

From the gien data,

x = 2y ....(1)

x = z/2 => z = 2(2y) = 4y .....(From 1)  ...........(2)

Given average of three numbers = 56

Then,

$$\begin{gathered} x + y + z3 = 56 \\ 2y + y + 4y3 = 56 (From 1 & 2) \\ 7y = 56 x 3 \\ y = 24 \end{gathered}$$

Now,

x = 2y => x = 2 x 24 = 48

z = 4y = 4 x 24 = 96

Now, the highest number is z = 96 & smallest number is y = 24

Hence, required sum of highest number and smallest number

= z + y

= 96 + 24

= 120.

kl>k+1l+1 for (k,l) > 0 and  k > l 

Let     k = x+1    and   l = x

Therefore, x+1x>(x+1)+1(x)+1

 (x + 1) > x

Therefore, log(x+1)log(x)>log(x+2)log(x+1)

⇒logxx+1 >logx+1x+2

v1= 13πr12h1

v2=13πr22h2

% Increase in volume = (V2-V1) / (V2*100)