Exams

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

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%.

Given ratio of number of sheep and horses = 4 : 15
Let number of sheep and horses are 4k and 15k
Number of horses = 13200/110 = 120
Now 15K = 120 and k = 8
Number of sheep = 4k = (4 x 8) = 32

From the assumption and trial and error method,

last three digits sum must leave the same digit as the answer. It is possible only if the answer must be units digit number leaving tens digit as carry.

And the possible 3rd digit is 5. Since 5 + 5 + 5 = 15 

Now, 2nd step is  1 + x + x + x = 5

=> 3x = 4

It is possible with x = 8. 8 + 8 + 8 + 1 = 25 leaving 2 as carry. 

Now, 3rd step is 2 + x + x + x = 5 => x = 1

Hence, the three dgits are 1, 8, 5.

185 + 185 + 185 = 555. 

Indian anti-hunger activist Ankit Kawatra has honoured with the 2017 Queen’s Young Leaders award for his exceptional work in transforming the lives of others. Kawatra is among the 60 others from all 53 Commonwealth countries to be felicitated with the prestigious award by Queen Elizabeth (II) at a ceremony in Buckingham Palace in London on June 29, 2017. The honourees will also undergo a year-long mentoring and online learning by the University of Cambridge to build leadership capabilities and better their work towards the communities. He is the founder of Feeding India, a not-for profit organization that works towards solving problems of hunger, malnutrition and food wastage, mainly by redistributing extra food from restaurants, canteens, households, corporates etc. to help people in need.

All except Architect are manufactures.

Area of a square with side a = a² sq unts

Area of a triangle with base a = (1/2) * a * h sq.unts

a² =1/2 *a *h

=> h = 2a

altitude of the triangle is 2a