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www.kalvikavi.com, , www.padavelai.com, , MODEL REVISION TEST QUESTION - 1 – JANUARY - 2022, STANARD : 10, SUBJECT : MATHEMATICS, TIME, : 3 Hours, MARKS : 100, PART – I, Note:, (i), Answer all the 14 questions., (ii), Choose the most suitable answer from the given four alternatives and write the, option code with the corresponding answer., (14 x 1 = 14), , 4), , 5), , 6), 7), 8), , om, , 3), , (, , )%*, , .c, , 2), , If
 X  = 6 and  = {1, 3} then,
 is, (A) 1, (B) 2, (C) 3, (D) 6, If the ordered pairs  + 2, 4 and 5, 2 +  are equal then ,  is, (A) 2, −2, (B) 5, 1, (C) 2, 3, (D) 3, −2, If  is a relation from  to , which of the following is correct?, (A)  =  ∪ , (B)  =  ∩ , (C)  ⊆   , (D)  ⊆   , Let
 =  and
 =
then the total number of relations that can be defined from A, to B is, (A) , (B)  , (C) 2 − 1, (D) 2, Using Euclid’s division lemma, if the cube of any positive integer is divided by 9 then the, possible reminders are, (A) 0, 1, 8, (B) 1, 4, 8, (C) 0, 1, 3, (D) 1, 3, 5, If the HCF of 65 and 117 is expressible in the form of 65 − 117, then the value of  is, (A) 4, (B) 2, (C) 1, (D) 3, Given !" = 1, !# = 3 and !$ = !$%" + !$%# then !& is, (A) 3, (B) 5, (C) 8, (D) 11, (%), If , , ' are in A.P, then the value of, =, , av, i, , 1), , ), , (, , (A), , /0, , 40, , 40 5, , (B) #"0%#", , 2, , quotient When, (A) + − 5+ − 3, (C) + + 5+ − 3, (A), , square root of, "9 8 3 < ;, &, , 87/, , @, , 03, , divided by, , #&9 8 : 0 ; < =>, , #& 8 ? 0 ? < ?, 03, , w, , 12) The, , 8 3 %#&, , .k, , 11) The, , @, , #"0 3 %6#07#", , al, v, , 0, , ik, , (A), (B), (C), (D) 1, ), *, *, 9) The solution of the system + + , − 3+ = −6, −7, + 7- = 7, 3- = 9 is, (A) + = 1, , = 2, - = 3, (B) + = −1, , = 2, - = 3, (C) + = −1, , = −2, - = 3, (D) + = 1, , = 2, - = −3, /0%/, 20%2, 10), ÷ 3 is, , (B) 16 @, , 83<, , (C), , 87&, , /0 5, , (D), , 20 3 %#07", 03, , is, (B) + − 5+ + 3, (D) + + 5+ + 3, , 8 3 %4, , is equal to, , @, ;, , (C), , "9, , @, , 0, , & 8<, , @, 3, , (D), , "9 8< 3, &, , @, , 0, , @, , number of points of intersection of the quadratic polynomial + # + 4+ + 4 with the Xaxis is, (A) 0, (B) 1, (C) 0 or1, (D) 2, #, 14) The nature of the roots of + − 25 = 0 is, (A) no real roots, (B) real and equal, (C) real and unequal, (D) imaginary roots, , w, , w, , 13) The, , Note:, , (i), (ii), , PART – II, Answer only 10 questions., Question Number 28 is compulsory., , (10 x 2 = 20), , 15) Find (i) A X B and (ii) A X A when  = {,
} and  = ∅., 16) If  X  = {−2, 3, −2, 4, 0, 3, 0, 4, 3, 3, 3, 4} ,, , find  and ., 17) A relation  is given by the set E+, ,/ , = + # + 3, + ∈ {0, 1, 2, 3, 4, 5}H. Determine its, domain and range., 18) Let  = {3, 4, 7, 8} and  = {1, 7, 10}. Which of the following sets are relations from  to, ? (i) " = {3, 7, 4, 7, 7, 10, 8, 1}, (ii) # = {3, 7, 4, 10, 7, 7, 7, 8, 8, 11, 8, 7, 8, 10}, , MATHS MASTERS – VIRUDHUNAGAR DISTRICT., , Dear Teachers and Creaters Send Your materials our mail Id : [email protected]

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www.kalvikavi.com, , www.padavelai.com, , 19) Find, , all positive integers, when divided by 3 leaves remainder s., 8, 8, 8, 20) If, x # 3 x / 5 x 6 ; = 113400 where " , # , / , 6 are primes in ascending order and, +" , +# , +/ , +6 are integers, find the value of " , # , / , 6 and +" , +# , +/ , +6, 21) Find the common difference of an A.P if K"L − K"6 = 32., 22) If 3 + M, 18 − M, 5M + 1 are in A.P, then find M., 23) If  and  are positive integers, then we write  =  #  / and  =  / . If ,  are prime, numbers, then verify that L.C.M of ,  x H.C.F of ,  = ., 24) Pari needs 4 hours to complete a work. His friend Yuvan needs 6 hours to complete the, same work. How long will it take to complete if they work together?, 25) Find the square root of : 16+ # + 9, # − 24+, + 24+ − 18, + 9, 26) Solve by factorization method 2+ # − 2√6+ + 3 = 0., #6, 27) If the difference between a number and its reciprocal is, , find the number., 8, " =, , #, , &, , Note:, , (i), (ii), , %"/, 2, , , the find the, , om, , O, P are the roots of the equation 7+ + + + 2 = 0 and if P − O =, value of , , 28) If, , PART – III, Answer only 10 questions., Question Number 42 is compulsory., , (10 x 52 = 50), , w, , w, , w, , .k, , al, v, , ik, , av, i, , .c, , 29) Given = {1, 2, 3} ,  = {2, 3, 5}, Q = {3, 4} and R = {1, 3, 5}check if,  ∩ Q X  ∩, R =  X   ∩ Q X R ., 30) Let = {+ ∈ S/ + < 2 } ,  = {+ ∈ ℕ/ 1 < + ≤ 4}and Q = {3, 5}. Verify that  X  ∪, Q  =  X  ∪  X Q., 31) Let = {+ ∈ S/ 0 < + < 5 } ,  = {+ ∈ S/0 ≤ + ≤ 2} and Q = {+ ∈ S/+ < 3} Verify, that  X  ∩ Q =  X  ∩  X Q., 32) Let  = {+ ∈ ℕ/ 1 < + < 4 } ,  = {+ ∈ S/ 0 ≤ + < 2} and Q = {+ ∈ ℕ/ + < 3 }, Verify that  ∪ X Q =  X Q  ∪  X Q ., th, th, 33) Determine the general term of an A.P. whose 7 term is −1 and 16 term is 17., 34) A mother divides Rs.207 into three parts such that the amount are in A.P. and gives it to her, three children. The product of the two least amounts that the children had Rs.4623. Find, the amount received by each child., 35) In a winter season let us take the temperature of Ooty from Monday to Friday to be in A.P., The sum of temperatures from Monday to Wednesday is 0W Q and the sum of the, temperature from Wednesday to Friday is 18W Q. Find the temperature on each of the five, days., 36) If  + 1XY term of an A.P. is twice the 
+ 1XY term, then prove that 3 + 1XY is, twice the  +
+ 1XY term., 37) Solve the system of linear equations in three variables: + + , + - = 5, 2+ − , + - = 9, + −, 2, + 3- = 16, 38) Find the H.C.F of + 6 + 3+ / − + − 3 and + / + + # − 5+ + 3, 39) If 4+ 6 − 12+ / + 37+ # + + +  is a perfect square then find the values of  and ., 40) A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will, be 375. Find their present ages., 41) The base of a triangle is 4 cm longer than its altitude. If the area of the triangle is 48 sq.cm,, then find its base and altitude., 42) If O and P are the roots of the equation 2+ # − + − 1 = 0 , then form the equation whose, roots are O # P and P # O., , Note:, , (i), (ii), , PART – IV, This section contains one question with two alternatives., Answer the given question choosing either of the alternatives., #, , (2 x 8 = 16), , the nature of solutions of the quadratic equation+ + 2+ + 5 = 0., (OR), Discuss the nature of solutions of the quadratic equation 2+ − 3+ + 2 = 0., 44) Draw the graph of , = + # + 3+ − 4 and hence solve + # + 3+ − 4 = 0, (OR), #, Draw the graph of , = + − 5+ − 6 and hence solve + # − 5+ − 14 = 0, 43) Discuss, , MATHS MASTERS – VIRUDHUNAGAR DISTRICT., , Dear Teachers and Creaters Send Your materials our mail Id : [email protected]