Exercise

Direction (Q. 1 - 5) : Following two graphs show the population of five different cities in percentage. Answer the following questions based on these graphs. Total population of all five cities is 10000000.

What is the population of city 'E' ?

Population of E = 12% of 10000000 = 1200000

What is the population of city'B' whose age is below 18 years ?

Total population of B is 20% of 10000000 = 2000000. Out of that population people whose age is below 18 is 32%

ie 32x2000000/100 = 640000

What is the average population of all the five cities whose age is 19 to 60 years ?

Avg population of the five cities whose age is 19-60 is

= 1250000 + 800000 + 1540000 + 675000 + 720000/5

= 997000

In which two cities is the population the same for the 61 + ages group ?

It is 560000.

What is the ratio of the population of city C to that of D whose age is between 1 to 18 years ?

Ratio = Population of C/Population of D = 700000/300000 = 7/3

Direction (Q. 6 - 10) : Each question below in followed by two statements. Mark

A. If statement (I) alone is sufficient to answer to the question, While statemetn (II) alone is not sufficient.

B. If statements (II) alone is sufficient while (I) alone is not sufficient.

C. If either statement (I) alone or statement (II) alone is sufficient.

D. If both the statement I and II together are sufficient.

E. If both statement (I) and statement (II) even together are not sufficient.

What is a two-digit number ?

(I) The sum of the two digits of the number is 8, and the ratio of the ten's digit to the unit's is 1 : 3

(II) The producted of two digits is 12 and the difference between them is 4.

From statement 1 we can calculate the no. x + y = 8, x/y = 1/3 = y = 3x

∴ x + 3x = 8 ∴x = 2 and y = 6

∴ No.is 10x + y = 26

From statement II it is not clear wheather x - y

= 4 or y - x = 4

In how many days can A and B complete a work ?

(I) A lone takes 12 days to complete the work and B is thrice as efficient as A

(II) B alone can do the work in 4 days

No Explanation

What is the value of x, y and z ?

x^{3} + z = 70 II.x + y = 9

Both statement even together are not sufficient.

What is the age of two persons A and B ?

(I) At persons the sum of their ages is 15 years

(II) After 10 years the ratio of their ages is 3 : 4.

For the answer the both statement I and II are required.

x + y = 15 ......(I)

x + 10/y + 10 = 3/4 .......(II)

Solving (I) and (II), we gets x = 5, y = 10

What is the length of a train ?

(I) It passes a polie in 10 seconds.

(II) It passes a 100-m-long platform in 30 seconds.

To find the length of the train we need both the statement I and II together

Let length = x and speed = V

∴ V = x/10 .......(I)

V = x + 100/30 .......(II)

Solving I and II, x = 50 m