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# psc.cg.gov.in Mathematics State Service Mains Exam Model Question Paper : Chhattisgarh Public Service Commission

** Organisation **: Chhattisgarh Public Service Commission

**: State Service Mains Exam**

__Exam__**: Mathematics**

__Paper__**: Model Question Paper**

__Document Type__**: 2014**

__Year__** Website **: http://psc.cg.gov.in/htm/notification.html

**: https://www.pdfquestion.in/uploads/8892-maths.pdf**

__Download Model/Sample Question Paper__## Mathematics State Service Mains Exam Model Question Paper :

**Instructions For Candidates** :

1. All questions are compulsory.

2. Extra time of 10 minutes will be given for careful reading and understanding instructions as well as for making required entries in Question Paper and Question Cum Answer Booklet (QAB).

Related: Chhattisgarh Public Service Commission State Service Mains Exam Model Question Paper : www.pdfquestion.in/8889.html

3. Before making any entry on Question Paper and QAB candidate should count and check the no. of pages and if any discrepancy is seen then invigilator should be informed immediately for another copy of Question Paper/ QAB.

4. Each entry on Question paper and QAB should done with Black/ Blue Ball Point Pen .

5. In Hindi/ English format of questions some minor spelling/ other mistake in either one of languages will not be considered objectionable as it is expected that candidatesbeing graduate can percept and understand that. No applications regarding the same will be entertained by thecommission.

6. Use of Calculators, Log Tables, Mobile Phones, Pagers and any other type of communication or calculating devices are strictly prohibited and punishable.

7. Rough work can be done only on last two pages of Question Paper

**Answer all the Question :**

Q.No. 1- Calculate (728+158)+ (728 -158)/728*728 =158*158

Q.No. 2- Find the value. 112 + 122 + 132 + 142 + ?········· +202

Q.No. 3- If x/4 = y/7 then find the value of (x + 4)- (y + 7)

Q.No. 4- If a:b = 4: 5 and b:c = 3: 4, then find the value of a:b:c

Q.No. 5- Find the ratio in which P (-8, 3) divides the join of (2, -2) and (-4, 1)

Q.No. 6- Use distance formula to show that the points A(-2,3), B(1, 2) and C (7,0) are collinear.

Q.No. 7- Convert 360 into centesimal measure.

Q.No. 8- Express 60* angle in radian.

Q.No. 9-What is Algoritham Method

Q.No. 10-Define Arithmetic Mean.

Q.No. 11-State the Additive law of Probality

Q.No. 12- Find Mode, where Arithmetic Mean and Median are 18 and 15 respectively.

Q.No. 13- Evaluate 28% of 320 + 50% of 280

Q.No. 14- Change 31/40 into percentage

Q.No. 15- Find selling price, where Cost price = Rs. 56.25 Gain = 20%

Q.No. 16 – A and B together can complete a piece of work in 3 days. If A alone can complete the same work in 12 days, in how many days can B alone complete the work.

Q.No. 17- If + means ×, means +, – means + and + means – , then find the value of 20-8 4+3+2

Q.No.-18 If letters of word FAINTS are arranged alphabetically then find the number letters whose order remain unchanged

Q.No.-19 How many pair of letters are there in the word PRIMARY having the same number of letters between them in this word as they have in the English alphabet.

Q.No.-20 Find the pair of letters from the following pairs of letters which does not belong to the group VX, DF, NP, PS, JL

**SECTION-2 :**

**Part – 5 :**

Question No 5- Find the sum of all two digits numbers divisible by 03.

Question No 6- The difference of two numbers is 11 and one-fifth of their sum is 9. Find the number

**Part – 6 :**

Question No 5- The line joining the points (3, -1) and (-6, 5) is trisected. Find the Coordinates of the points of trisection.

Question No 6- If cos 0 = 3/5 then find the values of sin 0 and tan

**Part – 5 :**

Question No 5- Convest (8.625)10 into Binary number

Question No 6-Explain the method to find the square roots of two or three digit number, using mixed addition.

Question No 5- Different of two numbers is 1450. If 7% of one number is 9% of the other number, find the two numbers.

Q/Question No 6- The average weight of A, B and C is 45 kg. If the average weight of A and B be

40 kg. and that of B and C be 43 kg. then find the weight of B.

Q.No.-5 If the symbols + and and numbers 9 and 4 are interchanged then which of the

following equations is trace.

(i) 94 7+97=329

(ii) 47 9+94=18

(iii) 94 7+47=329

(i1v) 49 7+49=7

Q.No.-6 Code the following group of letters as per the given table XAFRSM, KAXFRU, FXVASK, RJMUSV

**Section-3 :**

Question No 7- A number consists of two digits. The sum of digits are 7. If 45 is subtracted from the number, its digits are interchanged. Find the number.

Question No 7- A number consists of two digits. The sum of digits are 7. If 45 is subtracted from the number, its digits are interchanged. Find the number.

Question No 7- A number consists of two digits. The sum of digits are 7. If 45 is subtracted from the number, its digits are interchanged. Find the number.