Experience Requirements

SINDH PUBLIC SERVICE COMMISSION HYDERABAD PRE-INTERVIEW WRITTEN TEST FOR RECRUITMENT TO THE POST OF LECTURERS MATHEMATICS BPS -17
PPS , FPSC , EDUCATORS , AND LECTURER MATH OLD PAPERS AND MCQS
'Thursday the 26' of January, 2006 ime: 12.00 Noon to 01.00 P .M. QUESTION PAPER General Instructions S 1• Candidates arc to attempt all questions. All questions cam equal marks. 2. Answer 7X1 Quest;,,,:-. on Ans‘w 3. Write your Roll No., Nall1C, Father's Name 8: Center on the Answer Sheet WITHIN Till. SPACE PROVIDED. DO NOT WRITE THESE DATA ANNA% HERE ELSE ON THE ANSWER SHEET. DOING SO WILL RENDER VOL TO PENALTIES. 4. Each mistake made will result in deduction of half mark. 5. Circle the appropriate answer in BLUE or BLACK BALL POINT/ FOUNTAIN PEN only. SIGN YOUR ANSWER SHEET IN SPACE PRO VIDEO.

max Marks.: 100


6. 7. Return your Answer Sheet when you arc asked to. QUESTION NO: 1. The value of x for which (x-I) (x-5) 1 (C) P= 1 49. The set {0, 1, 2, 3, 4) of integers modulo 5 with addition and • multiplication of residue classes modulo 5 is a (A) Division ring (B) Field (C) Ring with zero-divisors 50. Let f = v (I) w(f) be a vector space homomorphism. If f is also an onto mapping, then f is called a/on (A) Monomorphism (B) Epimorphism (C) Isomorphism32. By definition, Jr dx (A) 7' In 7 ••••.. (B) r 33. lim In sin .. ...... 7 x --+ 0 In sin x (B) n The set of all points, 34. in a from a fixed plane, that are all at equal distances point is called a ...... (A) Sphere (B) Cirriet The equation of the form lx + my + n z = p ofa plane in is its (C) P9elsbola (A) Normal form (C) Tangent form
(A)

(C) In 7
(C)
(B) Intercept form
• 36. Lines in space, which do not Interest nor are called ...... parallel, are (A) non-existent lines (B) non-perpendicular lines (C) Skew-lines

37. The triple product (a + c) . (b + c) x (a + b + c)=
(A) 0 (B) a.bxc (C) 2 (a . b x c) 31. The complex numbers 8 which satisfy the equation j z — S = I lie en ... lz+5:1 (A) The x axis (B) The line y = 5 (C) A circle passing through the origin /9. if x = sin2 0 + cos' 0, then for all real values of 0, (A) I 0, then E [ a nisi
+ (B) a + 1
(C) a 2a +32. By definition, 171 dx (A) 7' In 7 ••••.. (8) 7' lim In sinIn 7 x...... x 0 In sin x 1 n
33.
(A)

34. The set of all points from a fixed , in a plane, that are all at point is call equal distances ed a •••••• Sphere (B) The equation of the for Cirrietm Ix + my + n p of a plane in is its (C) P9 ri• bola (A) Normal form (C) Tangent form • Lines in space, which do not interest nor are called ....., parallel, are (A) non-existent lines (B) non-perpendicular lines (C) Skew-lines
(A) 35.

(C)
1
(B) Intercept form

37. The triple product (a + c) . (b + c) x (a + b + c)=

(A) 0 (B) a.bxc (C) 2 (a . b x c) 31. The complex numbers 8 which satisfy the equation Iz—SiI= I lie en ... z 5 (A) The x axis
(B) The line y = 5 (C) A circle passing through the origin /9. if x = sin2 8 + cos' 0, then for all real values of 0, (A) 1 0, then E a ni• (a + 1) (B) a + 1

(A) a
(C) a 2a +(A) 8.
3, 5 The orthogonal traj(elac)to;i3esSof the family of the curves a" y =2 x" are: (A) ny2 --x2 2 2 := C o n s t a n t ( B ) n 'I-(C) nx -Y2 - X 2 ' Constant - Y = Constant 9. The area of a triangle is 6 e I) and Two units. of its vertices are (2, the coordinat(3, -2). The third vertex lies on the line y = x+3. (A) 2, 14 es of the third vertex are: ( ) 2 2 j (B) (z3, 13- ((')( 2, 1 10. \ 2 2 J e. 2 2 The smallest integer n for which ( - 1 4- 2 y 2 i = 1, where i = 4.-f, is (A) 4 (B) 8 11. If x = I 1 3 I, then the determinant of x2 - 2x is None of these 1211 (A) 5 (B) 25 (C) -25 12.Ai The area of a parallelogram with adjacent sides Ai and Ai + is (A) 1 q unit (B) 1 sq units (C) 2 sq units 2 13.y (x2y - e) dx The general solution of the differential equation - el dy = 0 is (A) ey - 3e'l = cy (B) x3y + 3e‘ = cy these 14. The radii of the circles x2 + y2 = 1, x2 + y2 - 2x - 6y = 6 and x2 + y2 4x - 12y = 9 are in (C) Ii.P. (A) A.P. (B) G.P. v' 15. !f x, y, z are any thrze. matrices of the vim.. order, then x' '- y + i = (A) x + Y + z

(C) None of
(B) (x + y + z)1 (C) - (x + y + z) 1-1 1 1 I
16. The value of the determinant 1 1 -1 1 l is I1 1 -1 1 (A) -4 (B) 0 (C') None of these 17. If P, Q and R are any three sets, then P - ((AIR) = (A) (p — Q) n R (B) (P - Q) u R (C) (p _ ()) n (P - R) 18. In a group of 65 players, 40 like cricket, 10 like both cricket and tennis. Everybody in the group like at least one game. Then the number of player who like tennis and not cricket it... (A) 15 (B) 25 (C) None of these 19. The number of proper subsets of a finite set of three elements is (A) 8


(B) 7

(C) 6COMPILED BY: STUDENT INN
PPSC Lecturer Mathematics Recruitment Guide
Mathematics MCQS and Pattern
STUDENT INN
members: Mohsin Hassan MphIII Math (QAU) for STUDENT INN
d Hussain Soom ro Mphill I R (QAU)
/hone: 92-300-980-0135 92-302-890-0580
ronic: Web: www.studentinn.org
2015
SANJAR PUR, SADIQABAD, RAHIM YAR KHANPPSC Lecturer Recruitment 2015 Math Mcqs for Lecturer Test 2015 May 9th, 2015 I U Author. stociention.org
PPSC Lecturer Recruitment 2015 Math Mcqs for Lecturer Test 2015 1) Price of sugar is increased by 25%. The percentage of consumption to be decreased so that there would be no increase in the expenditure is (a) 18% (b) 20 % (c) 22% (d) 24% 2) A group of students volunteered to finish a construction work in 25 days. 10 of the students did not come and the work could be finished in 35 days. The original number of students in the group were (a) 25.00 (b) 32.00 (c) 35.00 (d) 37.00 3) A man bought a flat for Rs. 8,20,000. He borrowed 55% of this money from a bank. How much money did he borrow from the bank? . (a) Rs. 4,51,000' (b) Rs. 4,52,000 (c) Fvs. 4,53,000 (d) Rs. 4,54,000 4) A primary school had an enrolment of 850 pupils in January 197). In January 1980 the enrollment was 1,120; What was the percentage increase for the enrollment? (a) 31.76%' (b) 33.50% (c) 30,65% (d) 34.76% 5) The number, whose 7% is 42, is (a) 300 (b) 400 (c) 500 (d) 600' 6) Which number will come next? 3. 5, 7, 10,12,14, 24, 26,_. _ (a) 52 (b) 30 (c) 28' (d) 48 7) Twelve men take 6 hours to finish a piece of work. After the 12 men have worked for 1 hour, the contractor decides to cal in 8 more men. How many more hours would 20 men take to complete the remaining work? (a) 2 (b) 3' (c) 4 (d) 5 8) If a car is sold for Rs..50000 the profit is 17 percent, what would be profit percentage if sold for Rs. 47000. (a) 14.85% (b) 15.98%'(c) 16.20% (d) 14.50% 9.Sadiq purchased a plot for Rs. 8,000. He sells the plot to Abid at a profit of 20%. Abd in turn sells that plot to Arif at a loss of 20%. The plot costs Aeif. (a) Rs. 12,000 (b) Rs. 10,000 (c) Rs. 8670 (d) Rs. 7680' 10. A's mother is twice as old as A's brother. A is 6 years yqunger than his brother but 4 years older than his sister. If A's aster s 15 his mother's age s: (a) 40 (6)45 (c) 412 (d) 50' 11.If 12 years are added to 2/3 age of Rani, she wil be three years older than today. What is Rani's present age? (a) 25 (b) 27' (c) 26 (d) 29 12. Three farrilies, P, Q and R, share 480 kg of rice, Q receives twice as much rice as P and R receives half as much rice as Q. How much rice does farnily Q gets? (a) 220 kg (6)230 kg (c) 240 kg' (d) 250 kg 13. Six rren working 8 hours a day earn Rs 720 per week. S men working 6 hours a day will earn per week (a) Rs. 540 (b) Rs. 720' (c) Rs.960 (d) Rs.1080 14. In the exam 45% students failed and 550 students were successful.The total number of students who appeared in the exam were: (a) 1000' (b) 900 (c) 1500 (d) 800 15. Nasir read 60 pages of a book on the first day. This was 20% more than the number of pages he read on the second day. Gwen that he read 1/6 of the book on the.second day, find the number of pages in the book he had read. (a) 300' (b) 290 (c) 325 (d) 345
16. Mr. Rehraan ordered a car worth Rs.600.000 and was given a disoount.Gwen that he paid Rs.57,0000 for his new car, calculate the percentage discount he received: (a) 5% (b) 7%
(c) 9% (d) 10%
17. Which is the greatest number? (a) 1/4 of 236 (b) 1/16 of 1028 (c) 1/9 of 504 d) 1/3 of 741
18. 10 men can construct a budding in 40 days. How long will it take 20 men to do this work?
(a) 20 days (b) 30 days (c) 43 days (d) 50 days
1 9. Rashid bought a shirt for Rs.350 and sold it Rs.300. How much loss clod he get? (a) Rs.40 (b) Rs.50 (c) Rs.20 (d) Rs.8020. NASIR bought a practical copy Rs.60 and sold it Rs.40. How much loss did he get? (a) Rs.600 (b) Rs.60 (c) Rs.40 (d) P,s.20
21. The number, whose 17% is 51, is (a) 200