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In each of the following questions two equations are given. Find the value of x and y and answer as:
I. (x – 13)2 = 0
II. y2 = 169
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I. x2 – 6x + 9 = 0
II. y2 – 11y + 30 = 0
I. 2x2 + 7x – 4 = 0
II. y2 + 10y + 21 = 0
There was one mess for 15 students in a hostel. If the number of students was increased by 5, the expenses of the mess increased by Rs.20 per month, while the average expenditure per head diminshed by Rs.1. Find the original monthly expenses.
A sum of Rs.4550 is borrowed at 10% per annum compounded annually. If the amount is to be paid in two years, what is the amount?
The perimeter of a square is equal to the perimeter of a rectangle of length 32 cm and breadth 28 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
Let the side of a s square be 'a' cm
Perimeter of the rectangle = 2(32+28)
=120 cm
Perimeter of the sqaure = 120 cm
4a = 120
a = 30
Diameter of the semi circle = 15cm
Circumference of the semicircle =R(2 +π)
π = 3.142
=15(2+3.142)
= 77.13 cm
Directions For Questions
DIRECTIONS: Study the following table carefully and answer the questions given below it.
Number of laptops (in crores) sold by six different laptop companies during the given years
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What is the average number of laptops sold by Sony taking all the years together? (in crores)
Required average = 1/6(219.6 + 195.0 + 195.6 + 211.6 + 89.0 + 87.0) Crores
= 997.8/6 crores = 166.3 crores
What is the respective ratio between the number of laptops sold by HP in the year 2015 and that sold by Toshiba in the year 2017?
Required ratio = 115.0 : 157.0 = 115 : 157
What is the average number of laptops sold by all the companies in the year 2015?(in crores)
Required average = 1/6 (76.4 + 177.0 + 115.0 + 195.6 + 225.8 + 217.0) = 1006.8/6 crores
= 167.8 crores
By what percent approximately is the number of laptops sold by HP in the year 2013 less than that sold by the same company in the year 2016?
Required percentage =219.8-209.0/219.8 × 100
= 10.8/219.8 × 100 = 4.9 ≈ 5%
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