The area of a square plot of twice the area of a rectangular plot. If the length of the rectangular plot is 36 metres and the area of the square plot is 1764 square metres. What is the breadth of the rectangular plot?
Area of the square plot = 1764 square metre
According to the question,
Area of the rectangular plot
= 1764/ 2 = 882 square metre
Length of the rectangular plot = 36 metre
∴ Breadth of the plot
= 882 /36 metre = 24.5 metre
In a school,average age of the students is 6 yrs and the average age of 12 teachers is 40 yrs. If the average age of the combined group of the 12 teachers and the students is 7 yrs,then the number of students is
Let the no. of students be x
So sum of ages of students = 6x
Sum of ages of teachers = 12 x 40 = 480
Average age of combined group of 12 teachers and 'x' students is 7 years
i.e. 6x + 480 /x + 12 = 7
⇒ 6x + 480 = 7x + 84
⇒ x = 396
A and B throw a dice. The probability that A's throw is not greater than B's is
If B throws, 1, then A can throw only 1, if B throws 2, then A can throw 1 and 2 so on
∴ the required probability
Rohit, Harsha and Sanjeev are three typists who, working simultaneously, can type 216 pages in four hrs. In one hr, Sanjeev can type as many pages more than Harsha as Harsha can type more than Rohit. During a period of five hrs, Sanjeev can type as many pages as Rohit can, during 7 hrs. How many pages does each of them type per hour?
Suppose Rohit types x pages per hr
Harsha types y pages per hr
Sanjeev types z pages per hr
∴ z  y = y  x
⇒ y = x + z /2 .....(1)
⇒ 5z = 7x .....(2)
4(x + y + z) = 216
⇒ x + y + z = 54 .....(3)
Solving Eqs. (1), (2) and (3), we get
y = 18, x = 15, z = 21
A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is :
In the following questions two equations numbered I and II are given. You have to solve both the equations and
In the following questions two equations numbered I and II are given. You have to solve both the equations and
By equation I � 3  equation II,
9x  6y  5x + 6y = 30  6
⇒ 4x = 24 ⇒ x = 6
From equation I,
3 � 6  2y = 10
⇒ 2y = 18  10 = 8
⇒ y = 4
In which year was the increase in raw material maximum ?
Which component of the cost production has remained more or less constant over the period?
It is very clear that interest component remained more or less constant over the given period
Percentage of students in Six different collegesTotal number of students = 3500
What is the number of girls in College D ?
Percentage of students in Six different colleges
Total number of students = 3500
Which college has the lowest number of girls ?
Total number of students = 3500
A = 735
B = 315
C = 1155
D = 630
E = 245
F = 420
Total number of girls = 1800
A = 414
B = 180
C = 558
D = 198
E = 144
F = 306
College E has 144 girls which is the lowest of all
The total annul exports lay between 35 and 40 per cent to the total annual business of the IT industry, in the years :
The highest percentage growth in the total IT business, relative to the previous year was achieved in :
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