ALGEBRA QUESTION PAPER FOR PRACTISE.pdf

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  • 7/27/2019 ALGEBRA QUESTION PAPER FOR PRACTISE.pdf

    1/7

    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

    2013 - 2014

    www.omtexclasses.com

    PAPER NO. 1Q1. Attempt any six of the following sub questions:i. Find the first four terms of the sequence whose nth term is 3 + 1.ii. If one root of the quadratic equation 2 11 + = 0 is 9, then find the

    value of k.

    iii. What is sample spaceiv. Mohan has a hobby of solving problems everyday. He solved 2, 4, 3, 2, 4,

    5, 1 problems in the last week. What is the mean number of problems

    solved by Mohan per day?

    v. Central angle = ?Total value of all the components

    3600

    vi. Find the value of discriminant for the following. 32 43 + 4 = 0.Q2. Attempt any five of the following sub questions:

    i. Determine whether the given values of are the roots of the givenquadratic equation 62 2 = 0 . = 1

    2, = 2

    3, = 3

    2

    ii. Solve the simultaneous equations by using Graphical method. + 3 = 7;2 + + 1 = 0

    iii. There are three boys and three girls. An environment committee of two isto be formed. Write the sample space S, the number of sample points

    n(S). Also Event A and n(A). Where A is the event that the committee

    should contain atleast one girl.iv. Without actually solving the simultaneous equation given, examine

    whether it has unique solution, no solution or infinitely many solutions.

    (i) + 3 + 4 = 0; 2x+ 6 y3 = 0v. A coin is tossed. Find the probability of the events. (i) Getting a head (ii)

    Getting a tail.

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    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

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    Q3. Attempt any four of the following sub questions

    i. If the 10th term and the 18th term of an A.P. are 25 and 41 respectivelythey find the 38th term.

    ii. How many terms are there in the A.P. 187, 194, 201, , 439? iii. Find the value of k for which given equation has real and equal roots.22 2 1 + 4 = 0iv. Find the value of k, if one root of the equation 52 + 6 + = 0 is 5 times

    the other.

    v. Below is given frequency distribution of Daily wages (in Rs.) of 130workers.

    Daily wages (inRs.)

    8084

    8589

    9094

    9599

    100104

    105109

    No. of workers10 20 25 40 30 5

    Find modal wage of a worker.

    Q4. Attempt any three of the folliwng sub questions:

    i. If one root of the equation 2 10 + 2 = 0 is 5 3 , find k.ii. If

    are the roots of the equation

    2 +

    +

    = 0, Find the

    value of + iii. What is the probability that an ordinary year has 53 Sundays?

    Q5. Attempt any four of the following subquestions.

    i. Solve 2166 7933 + 216 = 0.ii. Points (3,-1) and (6,1) lie on the line represented by the equation + = 9, find the values of and .iii. Following table shows frequency distribution of duration (in seconds)

    of advertisements on TV.

    Duration (in sec.) 2530 3035 3540 4045 4550 5055

    No. of Advertisements 10 32 15 9 7 2

  • 7/27/2019 ALGEBRA QUESTION PAPER FOR PRACTISE.pdf

    3/7

    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

    2013 - 2014

    www.omtexclasses.com

    Obtain mean duration of advertisement on TV by shift of origin and scale

    method.

    Iv. For an A.P.1

    6,

    1

    4,

    1

    3, find 20 and 10 .

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    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

    2013 - 2014

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    PAPER NO 2.Q1. Attempt any six of the following sub questions:

    i. Find the next four terms of the sequences: 2, 5, 8, 11 ii. Write the quadratic equation 7 4 2 = 0 in standard form 2 + + = 0.iii. If12 + 13 = 29 and 13 + 12 = 21, find + .iv. Two coins are tossed simultaneously. Write the sample space S and

    the number of sample points n(s).

    v. If one root of the quadratic equation 2 7 + = 0 is 4, then find thevalue of k.

    vi. Find the modeQ2. Attempt any five of the following sub questions:

    i. Find the first four terms of the sequence, whose nth term is tn = n22nii. Solve

    2

    17

    + 60 = 0 by factorisation method.

    iii. Find the value of the determinant, 47 6355 2

    5

    iv. Form two digit number using the digits 0, 1, 2, 3 without repeating the

    digits. Write sample space S, n(S), event P and n(P) where P is the

    event that the number so formed is divisible by 3.

    v. A die is thrown, find the probability of the eventsa.Getting a number less than 3, b. Getting a prime number.

    Q3. Attempt any four of the following sub questions

    i. How many three digit natural number are divisible by 4?ii. Determine the nature of the roots of the equation 22 + 5 3 = 0 from

    its discriminanats.

    iii. Solve the following simultaneous equations using graphical method. + 2 = 5, = 2 2.

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    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

    2013 - 2014

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    iv. Forty persons were examined for their Haemoglobin % in blood (in mgper 100 ml) and the results were grouped as below: Find Mode.

    Haemoglobin %(mg/100ml)

    13.114

    14.115

    15.116

    16.117

    17.118

    No. Of persons8 12 10 6 4

    Q4. Attempt any three of the folliwng sub questions:

    1.The 11th term and 21st term of an A.P. are 16 and 29 respectively thenfind

    a.The first term and the common differenceb.The 34th term c. n such that tn = 55.

    2.Solve 2 2

    +

    1

    2 9 +1

    + 14 = 0.3.Below is given frequency distribution of no. Of packages received at apost office per day. Find mean.

    No. of Packages 1020 2030 3040 4050 5060 6070

    No. of days2 8 16 24 30 20

    Q5. Attempt any four of the following sub questions.

    i. In winter the temperature at hill station from Monday to Friday is in A.P.The sum of the temperatures of Monday, Tuesday and Wednesday is zero

    and the sum of the temperature of Thursday and Friday is 15. Find the

    temperature of each of the five days.

    ii.Solve the following simultaneous equations: 16+ + 2 = 1; 8+ 12 = 7iii.Two fair dice are thrown, find the probability of the following event that the

    sum of the scores on their upper faces is less that 4.

    iv.. If a card is drawn from a pack of 52 cards then find the probability ofgetting (i) a red card (ii) a face card.

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    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

    2013 - 2014

    www.omtexclasses.com

    PAPER3Q1. Attempt any six of the following sub questions:

    i. Find 11from the following A.P. 4, 9, 14, ii. Find the values of a, b, c for the following quadratic equation by

    comparing with standard form. 2 + 2 + 1 = 0.iii. Say whether it is quadratic or not. 3 + 4 = 3.iv. If the value of the determinant

    2

    5 7is 31, find

    .

    v. What is the equation of Xaxis and Yaxis?vi. For a certain frequency distribution, Median = 156 and Mode = 180

    obtain value of mean approximately.

    Q2. Attempt any five of the following sub questions:

    i. If are the roots of the equation 2 4 + 1 = 0 , finda.

    2 +

    2 b.

    +

    ii. Solve 32 26 + 2 = 0iii. Find three consecutive terms in a G.P. such that their sum is 38 andtheir product is 1728.

    iv. 72+1 + 13+2 = 27; 132+1 + 7+2 = 33.

    v. Find the value of if the given equation 42 3 + 1 = 0 has real andequal roots.

    Q3. Attempt any four of the following sub questions

    i. A box contains 36 cards marked with number 1 to 36. One card isdrawn from the box at random. What is the probability, that the

    number on the ticket is either divisible by 3 or a perfect square.

    ii. If (3,1) is the point of intersection of lines + = 7 and + = 5,find the values of a and b.

    iii. Solve the following simultaneous equations: 1 + 1 = 12 ; 3 3 = 1

    This Question Has been removed.

  • 7/27/2019 ALGEBRA QUESTION PAPER FOR PRACTISE.pdf

    7/7

    OMTEX CLASSES ALGEBRA ASSIGNMENT SSC

    2013 - 2014

    www.omtexclasses.com

    iv. Determine the nature of the roots of the quadratic equation 22 7 3 = 0 from its discriminant.

    Q4. Attempt any three of the following sub questions:

    i. If one root of the equation 2 10 + 2 = 0 is 5 3 , find k.ii. If are the roots of the equation 2 + + = 0, Find thevalue of

    + iii. What is the probability that an ordinary year has 53 Sundays?

    Q5. Attempt any four of the following sub questions.

    i. Solve 216

    6

    793

    3 + 216 = 0.

    ii.

    A card is drawn at random from a well shuffled pack of 52 cards. Findthe probability that the card drawn is a diamond card.

    iii. Points (3,-1) and (6,1) lie on the line represented by the equation + = 9, find the values of and .iv. A game of change consists of spinning an arrow which comes to rest

    pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are

    equally likely outcomes. What is the probability that it will point at (a)

    8 (b) an odd number (c) a number greater than 2?