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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
(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 the number of zeros at the end of product 255x533

(a)11 (b)22 (c)33 (d)55



Q2.Find the remainder when (1523 + 2323) is divided by 19

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



Q3.The graph of polynomial f(X)=x2-2x-8 opens .....

(a)downwards (b)it is a straight line (c)upwards (d)can't say



Q4.If A and B are the zeros of the polynomial f(x)=x2-5x+k, such that A-B=1, find the value of k.

(a)1 (b)2 (c)4 (d)6



Q5.In the linear quation system if a1/a2=b1/b2=c1/c2, then right option is.....

(a)lines are perpendicular (b)lines are parallel (c)infinitely many solutions (d)inconsistent system



Q6.If tanB + 1/tanB=2, find the value of tan2B + 1/tan2B

(a)1 (b)2 (c)4 (d)8



Q7.If sinC + sin2C = 1, then find the value of cos2C + cos4C

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



Q8.If 5 times the fifth term of an A.P. is equal to 8 times its eighth term, its 13th term will be.

(a)1 (b)0 (c)3 (d)4



Q9.Histgram gives us, graphically

(a)mean (b)mode (c) median (d)none of these



Q10.All sides of a quadralateral increased by 9% then its corresponding diagonal increased by.

(a)9% (b)8% (c)10% (d)11%



Q11.If P(7,K)=60P(7,k-3), find k.

(a)3 (b)7 (c)5 (d)2



Q12.If the mean and S.D. of x are a and b respectively, then the S.D. of (x-a)/b is

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



Q13.Upper Quartile is equal to

(a)mean (b)10th decile (c)median (d)75th percentile



Q14.The rxy is 0.9. U and V are two variables defined as U=(x-4)/3, V=(y-2)/2, then the ruvis

(a)0.5 (b)1 (c)0 (d)0.9



Q15.Let A and B two events in a sample space S such that P(A)=1/2, P(B')=5/8, P(AUB)=3/4, find P(AUB)'

(a)1/4 (b)1 (c)2/3 (d)3/5



Q16.After covering a distance of 30km with a uniform speed there is some defect in a train engine and therefore, its speed is reduced to 4/5 of its original speed. consequently, the train reaches its destination late by 45min. Had it happened after covering 18km more, the train would have reached 9min earlier. Find the speed of the train.

(a)30km (b)10km/h (c) 25km/h (d)35km/h



Q17.If for a binomial distribution B(n,p) the mean 6, and variance 2, then p is

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



Q18.For a poisson distribution P(x=3)=5P(x=5), then find S.D.

(a)4 (b)1 (c)21/2 (d)3



Q19.Find the value of (30)3-(18)3-(12)3

(a)900 (b)3x30x18x12 (c)-60x18x12 (d)300



Q20.In a group of 50 people, 35 speak hindi, 25 speak both english and hindi and all the people speak at least one of the two languages. how many people speak only english and nor hindi?

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



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Tips:

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

nCr=nCn-r

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