Syllabus

(consist 9 units)

---

Unit-1:

(a) VBODMAS
(b) Divisibility
(c) Cube and cube roots
(d) Square and square roots
(e)Surds, indices and rationalisation

---

Unit-2:

(a) Number system
(b) Elementary algebra
(c) H.C.F. and L.C.M.
(d) Fractions and decimal fractions
(e) Logarithms

---

Unit-3:

(a) Ratio and proportion
(b) Percentage
(c) Partnership
(d) Average
(e) Problem based on ages

---

Unit-4:

(a)Profit, loss and discount
(b)Simple interest and compound interest
(c)Annuity
(d)Share and dividend

---

Unit-5:

(a)Alligation
(b)Time and work, Work and Wages and pipes and cisterns
(c)Time and distance, trains and streams

---

Unit-6:

(a)Mensuration
(b)Trigonometry
(c)Geometry
(d)Co-ordinate geometry

---

Unit-7:

(a)Permutation and combination, probability
(b)Inequalities
(c)Statistical description of data
(d)Measurement of central tendency
(e)Mesurement of dispersion
(f)correlation and regression
(g)Binomial, Poisson and Normal distribution
(h)Linear Programming problem

---

Unit-8:

(a)Sets, functions and relations
(b)Limits, continuity and derivatives and integration
(c)Equations(linear, quadratic and cubic)
(d)Straight lines and circles
(e)Sequence and series
(f)Mathematical reasoning
(g)Matrices and Determinants

---

Unit-9:

(a)Data Analysis

Sample Questions

Q1. Find remainder, if 9¹⁹+ 6 is divided by 8

(a)7 (b)8 (c)9 (d)10

Q2. When a certain number is multiplied by 13 the product consists entirely of seven, find such smallest number

(a)12343 (b)59829 (c)56687 (d)56389

Q3.Find the number of zeros at the end of 124!

(a) 12 (b)34 (c) 68 (d)28

Q4.25¹⁰² - 4^{102 is divisible by}

(a)25,102 (b)20,19 (c) 21,29 (d)10,11

Q5.Convert 125.33333... in the form of p/q

(a)376/3 (b) 113/3 (c)145/9 (d)376/9

Q6.If 4^x = 5^y = 20^z, then the value of z is

(a)xy/x-y (b)xy/x+y (c)xy (d)x+y

Q7.In how many years will a sum of money become four times at 12% p.a. S.I.

(a)10 (b) 20 (c)25 (d)35

Q8.Printed value of a cycle is Rs.1100, a trader earn 10% profit after giving 10% discount. Find the C.P.

(a)Rs700 (b)Rs800 (c)Rs500 (d)Rs900

Q9.If (x³-y³):(x²+xy+y²)=5:1 and x² - y²:x-y=7:1, so find 2x:3y

(a) 4:1 (b)1:9 (c) 9:5 (d)9:4

Q10. A,B and C are three pipes joined to a tank.A and B together fill the tank in 6 hrs. B and C together fill the tank in 10 hrs. A and C together fill the tank in 7.5 hrs. In how much time A, B and C will fill the tank separately?

(a)10,15,15 (b) 10,15,30 (c) 10,10,40 (d)30,20,10

Q11.Two cylinder of equal volume. Ratio of their height is 1:2, then the ratio of radius will be.

(a) 2:1 (b)1:4 (c)2^1/2:1 (d)3:1

Q12.If the length of a rectangle increases by 10% and the breadth of that rectangle decreases by 12%,find the percentage change in area.

(a) -2.2% (b) 3.2% (c) -3.2% (d)4%

Q13.Find angle between two lines 3x+y-7=0 and x+2y+9=0

(a)40⁰ (b)30⁰ (c) 45⁰ (d)90⁰

Q14.If tanA+cotA=5, then find the value of tan²A+cot²A.

(a) 25 (b) 27 (c) 29 (d)23

Q15.What will be minimum value of 2sin²A + 3cos²A

(a)2 (b) 3 (c)4 (d)5

Q16.If loga^y + loga^1+y=0, so find the value of y

(a) -2 (b) -1/2 (c)-5 (d)1/2

Q17.The intersection point of ogive curves gives us

(a)Mean (b)mode (c)standard deviation (d)median

Q18.A is a finite set having m elements then P(A) has...... elements.

(a) 3 (b)m (c)2^m (d)m²

Q19.If one root of the equation x² + ax + 3=0 is 1, then find other root

(a)1 (b)2 (c)3 (d)4

Q20.The sum of first six terms of an A.P. is 42.the ratio of its 10th term to its 30th term is 1:3. Calculate the 30th term

(a)90 (b)62 (c)80 (d)72