**Directions(1-5):** Find the **missing term** of the following series.

- 7,16,36,78,?,222
144100132150120Option A

(2*3)+1

(3*5)+1

(5*7)+1

(7*11)+1

(11*13)+1

(13*17)+1

? == 144 - 1,-2,-7,-14,-23,?
-45-50-34-38-40Option C

1-3=-2

-2-5=-7

-7-7=-14

-14-9=-23

-23-11=-34 - 729,486,324,216,144,?
6675807296Option E

729*2/3

486*2/3

324*2/3

216*2/3

144*2/3

? == 96 - -1,-7,-23,-55,-109,?
-155-191-198-200-184Option B

0^2 – 1^3

1^2 – 2^3

2^2 – 3^3

3^2 – 4^3

4^2 – 5^3

5^2 – 6^3

? == -191 - 90,91,99,126,?,315
105147152133190Option E

+1^3

+2^3

+3^3

+4^3

+5^3

? == 190 - If the population of City F in year 1990 was 12 lakh, what will be its population in year 2010?
3325302220Option A

P(1990) = 12 lakh

P(2010) = 12*(100+75)100* (100+55)/100

P(2010) = 12 × 1.75 × 1.55 = 32.55 lakh == 33 lakh - In year 1990 the population of City A and City B are equal and the population of City A in year 2010 is 37.7 lakh. What is the population of City B in year 2010?
4044504247Option D

A(2010) = 37.7 lakh

A(1990) = 37.7*100/145*100/130 = 20 lakh

B(1990) = A(1990) = 20 lakh

B(2010) = 20* 140/100*150/100 = 42 lakh - The population of City E in year 1990 was what fraction of its population in 2010?
6/238/2110/214/2113/22Option C

Let the population of E in 1990 be 100.

E(2010) = 100* 150/100* 140/100 = 210

Required fraction =100/210 = 10/21 - If the population of City C in year 2010 and that of City D in year 2000 are equal and they are 27.2 lakh each the population of City C in year 1990 is what percentage of population of City D in the same year?
40%80%60%50%70%Option D

C(2010) = 27.2 = D(2000)

C(1990) = 27.2* 100/170* 100/160 = 10 lakh

D(1990) = 27.2* 100/136 = 20 lakh

Required% =10/20 × 100 = 50% - The population of City D in year 2000 was what per cent of its population in year 2010?
60%65%50%57%63%Option E

Suppose the population in year 2000 was x.

Its population in year 2010 x *160/100 = 8x/5

Required % = x/(8x/5)*100 = x ×5/8x × 100

= 62.5% == 63%

**Directions(6-10):** The following graph shows the percentage growth in population of six cities from 1990 to 2000 and 2000 to 2010.