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SYLLABUS AND SAMPLE QUESTIONS

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




Unit-8:


(a)Sets, functions and relations
(b)Limits, continuity and derivatives
(c)Equations(linear, quadratic and cubic)
(d)Straight lines and circles
(e)Sequence and series




Unit-9:


(a)Data Analysis


Sample Questions



Q1. Find the square root of 512

(a)3 (b)56 (c)5 (d)12



Q2.Find the value of (11111)2

(a)123454321 (b)999999 (c)111111 (d)33332222



Q3.If 3x-3x-1=18, find the value of xx

(a)9 (b)3 (c)27 (d)16



Q4.Which number is not a rational number.

(a)21/2 (b)91/2 (c)1.42424242... (d)161/4



Q5.Find the unit digit in the sum of (124)372+(124)373

(a)3 (b)2 (c)1 (d)0



Q6.Three bells toll at intervals of 18sec, 24sec and 30sec respectively, they start ringing toll at particulat time.They next toll together after

(a)9min (b) 3min (c)10min (d)6min



Q7.82.5:80.5 is equal to

(a)2:3 (b)8:3 (c) 64:1 (d)1:64



Q8.Age of three sons is equal to father's age, after 30 years the age of father will be half of ages of the three sons, find the age of father

(a) 60 (b) 30 (c) 40 (d)50



Q9if 15%of (A+B)=25% of (A-B), so what percentage of B is equal to A.

(a)400 (b) 300 (c)200 (d)100



Q10.Ratio of cost price and selling price is 5:4, find the percentage loss.

(a)5 (b)4 (c)20 (d)15



Q11.A sum was put at SI at a certain rate for two years. Had it been put at 1% higher rate, it would fetched Rs 12 more. The sum is

(a)800 (b)1000 (c)1200 (d)600



Q12.The CI on a certain sum for 2 yr is Rs 42 and SI is Rs 40.Find the rate of interest per annum and the sum

(a)4%, 400 (b)5%, 1000 (c)10%, 200 (d)10%, 600



Q13.10% water is there in 100 lit. mixture and rest is milk. How much water should be added, sothat milk become 50% in the mixture.

(a)70 (b)50 (c) 40 (d)80



Q14.10 men or 15 women can reap a field in 25days, find the number of days that 7 men and 5 women can do the same.

(a)30 (b) (750/31) (c) 600/31 (d)80



Q15.Two pipes function simultaneously, the tank is filled in 12 hrs,one pipe fills the reservoir 10hr faster than the other. How many hrs does the faster pipe taketo fill the reservoir.

(a) 20 (b)30 (c)15 (d)25



Q16.In a isoceles triangle, perpendicular from vertex to base is 8cm and perimeter is 64 cm, find area of the triangle.(in cm2)

(a)100 (b)120 (c)50 (d)160



Q17.Area of rhombus is 150cm2, length of a diagonal is 10cm find the length of another diagonal.

(a)10cm (b)20cm (c)30cm (d)40cm



Q18.How many distinct words can be created from thr word BANANA, in which N will not come together.

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



Q19.Find the area of triangle which is developed by both axis and line ax+by=2ab

(a)2ab (b)1/2 (c)2 (d)ab



Q20.If A is positive acute angle,and 3(sec2A+tan2A)=5, then find cos2A.

(a)1 (b)2 (c)1/2 (d)11



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Tips:

n!=n(n-1)(n-2)(n-3)...(n-n)!

nCr=nCn-r

nCr+nCr+1 = n+1Cr+1