Aptitude and Reasoning Questions

The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

There is 1 way to correctly guess who comes in first, second, and third. There is only one set of first, second and third place winners. You must correctly guess these three people, and there is only one way to do so.

In the given series

1st term has odd number starting from 11, So the Series is 11, 13, 15, 17, 19 

2nd term has an alphabet follwed by its alpha numeric number in the order +4, +3, +2, +1. So  the Series is M13, Q17, T20, V22, W23

Therefore, 15T20 is the answer.

Let filling capacity of the pump be 'F' m3/min

Then, the filling capacity of the pump will be (F + 10) m3/min

From the given data,

$$\begin{gathered} 2400F - 2400F+10= 8 \\ ⇒ 2400 F+10-FF(F+10) =8 \\ ⇒ F2 + 10F - 3000 = 0 \\ ⇒ F = 50 m3/min \end{gathered}$$

Speed of tractor = 360/12 = 30 kmph

Speed of jeep = 250 x 30/100 = 75 kmph

But, given ratio of speed of car, jeep and tractor is 3 : 5 : 2

Speed of car = 3 x 75/5 = 45 kmph

Required, average speed of car and jeep = 75 + 45/2 = 60 kmph.

Percentage of students passed in English = 60%

Percentage of students passed in Hindi = 45%

Percentage of students passed in both subjects = 25%

ATQ,

Percentage of students passed in only English = 60 - 25 = 35%

Percentage of students passed in only Hindi = 45 - 25 = 20%

Therefore, Percentage of students failed = 100 - (35 + 25 + 20)

= 100 - 80 = 20%.

Total cost of all varieties of mangoes = 20 x 2 + 40 x 3 + 50 x 5 = 40 + 120 + 250 = Rs. 410

Then, cost of 1 kg mangoes = 410/10 = Rs. 41

To get 20% profit,

The rate at which the mangoes should be sell = 120/100 x 41 = Rs. 49.2