Group-1 Mains Paper 5

Study the following graph and answer the questions given below:

No. of Students (in thousands) who opted for three different Specializations during the given Five Years in a University

Note :

 X- axis  - Years

Y- axis – Number of students ( in thousands)

The total number of students who opted for Mathematics in the years 2005 and 2008 together are approximately what percent of the total number of students who opted for all three subjects in the same years?

Solution:

Number of students who opted for Mathematics in the year 2005 = 15000

Number of students who opted for Mathematics in the year 2008 = 30000

Total number of students in all subjects in 2005 = 5000 + 35000 +15000

                                                                             = 55000

Total number of students in all subjects in 2008 = 25000 + 30000 +30000

                                                                             = 85000

Therefore required percentage =  (15000+ 30000)   x 100%

                                                          ( 55000+85000)

                                                    =     45000  x  100 %

                                                          140000

                                        = 32.14%.                   

Out of the total number of students who opted for the given three subjects, in the year 2009, 38% were girls. How  many boys opted for Mathematics in the same year?

Solution:

Total number of students in 2009 = 20000 + 20000 + 5000

                                                          = 45000

Therefore total number of girls = 38 % of 45000

                                                = 45000 x 38

                                                          100

                                                = 17100

 Total number of boys  = 45000 -17100

                                       = 27900

Therefore total number of boys who opted for Mathematics in 2009

                            

                                      = 27900 x 5000

                                                45000

                                      = 3100

What is the respective ratio between the number of students who opted for English in the years 2006 and 2008 together and the number of students who opted for Hindi in the same year 2005 and 2009 together?

Solution:

Number of students who opted for English in the year 2006 = 25000

Number of students who opted for English in the year 2008 = 30000

Therefore the total number of students who for English in 2006 and 2008

Are 25000+ 30000 = 55000

Number of students who opted for Hindi in the year 2005 = 5000

Number of students who opted for Hindi in the year 2009 = 20000

Therefore the total number of students who for Hindi in 2005 and 2009

Are 5000+ 20000 = 25000.

Therefore Required ratio = 55000 : 25000

                                   

                                           = 11: 5

If the total number of students in the University in the year 2007 was 4,55,030, then, the total number of students who opted for the given three subjects were approximately what percent of the total students?

Solution:

Given that the total number of students in the University in the year 2007 were 4,55,030.

From the graph the who opted the three subjects are  15000+ 10000 +15000

                                                                                                =   40000

Therefore the required percentage  =   40000    x 100 %

                                                                455030

                                                          = 8.79%

What is the total number of students who opted for Hindi and who opted for Mathematics in the years 2006,2007 and 2009 together?

Solution:

Number of students who opted for Hindi in the year 2006 = 5000

Number of students who opted for Hindi in the year 2007 = 15000

Number of students who opted for Hindi in the year 2009 = 20000

Number of students who opted for Mathematics in the year 2006 = 35000

Number of students who opted for Mathematics in the year 2007 = 15000

Number of students who opted for Mathematics in the year 2009 =5000

Therefore the required total is 5000 +15000 + 20000 + 35000 +15000 +5000

=95000

Group-1 Mains Paper 5

Study the following pie-chart and answer the questions given below:

Preferences of students among six beverages in terms of degree of angle in the pie-chart

1.  The number of students who prefer Beverage C are approximately what percent of the number of students who prefer Beverage D?

Solution :

The number of students who prefer Beverage C are 14.4⁰.

The number of students who prefer Beverage D are 122.4⁰.

Therefore the required percentage is     14.4⁰  x 100   = 11.765 %   

                                                          122.4⁰

                                                          

 Approximately equal to 12%.

2.  How many students prefer Beverage B and Beverage E together?

Solution:

Given the total number of students = 6800

The angle made be Beverage B =57.6⁰

The angle made be Beverage E =64.8⁰

Therefore required percentage = (57.6⁰ + 64.8⁰) x 6800

                                                                   360⁰

                                                = 2312.

3.     What is the difference between the total number of students who prefer Beverage A and C together and the total number of students who prefer Beverage D and F together?

Solution:

Given the total number of students = 6800

The total number of students who prefer Beverage A and C are

79.2⁰ + 14.4⁰

The total number of students who prefer Beverage D and F are

122.4⁰ + 21.6⁰

Therefore the required percentage =

(79.2⁰ + 14.4⁰) – (122.4⁰ +21.6⁰)  x 6800     = 952.

                   360⁰

 

4.     The number of students who prefer Beverage E and F together are what percent of the total number of students?

Solution:

The number of students who prefer Beverage E are 64.8⁰.

The number of students who prefer Beverage D are 21.6⁰.

          

           Therefore required percentage is (64.8⁰ + 21.6⁰)  x   100%

                                                                     360⁰

                                                                   

                                                                        =24%

                                                                                                                                               

APPSC Group 1 Paper 5

Directions to Solve

In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.

1.	SCD, TEF, UGH, ____, WKL
	A. CMN B. UJI C. VIJ D. IJT

Answer: Option C

Explanation: There are two alphabetical series here. The first series is with the first letters only: STUVW. The second series involves the remaining letters: CD, EF, GH, IJ, KL.

2.	B2CD, _____, BCD4, B5CD, BC6D
	A. B2C2D B. BC3D C. B2C3D D. BCD7

Answer: Option B

Explanation:

Because the letters are the same, concentrate on the number series, which is a simple 2, 3, 4, 5, 6 series, and follows each letter in order.

3.	FAG, GAF, HAI, IAH, ____
	A. JAK B. HAL C. HAK D. JAI

Answer: Option A

Explanation:

The middle letters are static, so concentrate on the first and third letters. The series involves an alphabetical order with a reversal of the letters. The first letters are in alphabetical order: F, G, H, I , J. The second and fourth segments are reversals of the first and third segments. The missing segment begins with a new letter.

4.	ELFA, GLHA, ILJA, _____, MLNA
	A. OLPA B. KLMA C. LLMA D. KLLA

Answer: Option D

Explanation:

The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter E.

5.	CMM, EOO, GQQ, _____, KUU
	A. GRR B. GSS C. ISS D. ITT

Answer: Option C

Explanation:

The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U.

6.	ZA5, Y4B, XC6, W3D, _____
	A. E7V B. V2E C. VE5 D. VE7

Answer: Option D

Explanation:

There are three series to look for here. The first letters are alphabetical in reverse: Z, Y, X, W, V. The second letters are in alphabetical order, beginning with A. The number series is as follows: 5, 4, 6, 3, 7.

7.	QPO, NML, KJI, _____, EDC
	A. HGF B. CAB C. JKL D. GHI

Answer: Option A

Explanation:

This series consists of letters in a reverse alphabetical order.

8.	JAK, KBL, LCM, MDN, _____
	A. OEP B. NEO C. MEN D. PFQ

Answer: Option B

Explanation:

This is an alternating series in alphabetical order. The middle letters follow the order ABCDE. The first and third letters are alphabetical beginning with J. The third letter is repeated as a first letter in each subsequent three-letter segment.

9.	BCB, DED, FGF, HIH, ___
	A. JKJ B. HJH C. IJI D. JHJ

Answer: Option A

Explanation:

This series consists of a simple alphabetical order with the first two letters of all segments: B, C, D, E, F, G, H, I, J, K. The third letter of each segment is a repetition of the first letter.

10.	P5QR, P4QS, P3QT, _____, P1QV
	A. PQW B. PQV2 C. P2QU D. PQ3U

Answer: Option C

Explanation:

The first two letters, PQ, are static. The third letter is in alphabetical order, beginning with R. The number series is in descending order beginning with 5.

11.	QAR, RAS, SAT, TAU, _____
	A. UAV B. UAT C. TAS D. TAT

Answer: Option A

Explanation:

In this series, the third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order, beginning with R.

12.	DEF, DEF2, DE2F2, _____, D2E2F3
	A. DEF3 B. D3EF3 C. D2E3F D. D2E2F2

Answer: Option D

Explanation:

In this series, the letters remain the same: DEF.

The subscript numbers follow this series:

111, 112, 122, 222, 223, 233, 333, ...