Sainik School Rimc Entrance Free maths Qs

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Defence Academy Coimbatore A leading coaching academy for Sainik, Military and RIMC Schools, NDA, IMA, AFCAT SSB, FSB Interview http://www.ssbcoaching.com call 094437 20076


1.    A square has a perimeter of 48 m and a triangle has a height of 48 m. If the square and the triangle have the same area. What is the base of the triangle?
2.    A fraction is equivalent to 5/8. Its denominator and numerator add up to 91. What is the difference between the denominator and numerator of this fraction?

3.    . A movie theatre has eleven rows of seats. The rows are numbered from 1 to 11. Odd numbered rows have 15 seats and even numbered rows have 16 seats. How many seats are there in the theatre?

4.    A Triangle has an area of 36 sq.m, its Base is 9m,  find it altitude

5.    Find the product of the successor of the greatest 4 digit number and the predecessor of the least three digit number.

English

Write a sentence to differentiate the two words
Stationery and Stationary
Pail and Bail,                Cite and site
Mite and might,           Rite and right

Write the plural of Furniture, and singular of Mathematics

Opposite gender of  a) VIXEN   b) SOW  c) Buck




Solution:
1.    A square has a perimeter of 48 m and a triangle has a height of 48 m. If the square and the triangle have the same area. What is the base of the triangle?

No: 1
Step
Method
Step1
What is given?
(The inputs/ facts given)
Perimeter of a Square is 48 m
Height of the Triangle is 48 m
Area of square and Triangle are SAME
Step2
To Find what?
Base of the triangle
Step 3
Formula to be used

These are the formula to be used in solving this problem
Perimeter of a square  = 4 x sides
Area of a Square is       = Side x Side
Area of a Triangle is     = ½ Base x Height
Step 4
Working
First Find the Side of the Square  :
4 x side= 48
Of side = 48/ 4 = 12 m
Area of Square = Side x Side = 12 x 12 = 144 sq m


Area of Triangle is given by ½ base x Height
As per sum it is same as that of area of Square ie. 144 sq m
Ie. 1/2 Base x height = 144
Or Base x 48 = 144 x 2
Or Base = (144 x2) / 48 =   3x 2 = 6 m

Check back
1/2x Base x Height = ( Substitute the values to find if the answer is correct) ½ x 6 x 48 = 3 x 48 = 144 sq m 
Step 5
Answer
Hence Base of the Triangle is 6 m

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