IMU-CET MATHEMATICS SAMPLE QUESTIONS VOL.03
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1 MATHEMATICS SAMPLE QUESTIONS VOL.0. For any two sets A and B, if A B = A B implies a. A-B=0 A = B A not equal to B d. None. For any two sets A and B, if P (A) = P (B) implies a. A is not equal to B A = B. A-B =0 d. None. If A = {,,4,6,0,}, B = {,,5,7} A B a. {,,7} {,,5,} {,,5,7} d. {,,} 4. ( i) - in the standard form a. -0-i/5 -+i/5 --i/5 d. --i/5 TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
2 MATHEMATICS SAMPLE QUESTIONS VOL.0 5. Find the real values of and y, if ( 7) + iy = -5y + (5 + ) i a. =,y= =,y= =,y=- d. =-,y= 6. Find (-i) 4 a d. cos cos sin 7. If E and and differ by an odd multiple of /, cos sin then E() E() is (a) null matri (b) unit matri (c) diagonal matri (d) none of these sin TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
3 MATHEMATICS SAMPLE QUESTIONS VOL.0 cos cossin cos cos sin 8. If A and B are two matrices such cossin sin cos sin sin that the product AB is the null matri, then ( - ) is (a) 0 (b) multiple of (c) an odd multiple of / (d) none of these 9. The matri A satisfying the equation A is 0 0 (a) 4 0 (b) (c) (d) none of these TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
4 MATHEMATICS SAMPLE QUESTIONS VOL.0 0. Evaluate a. - 4 d Evaluate a d Find the value of if a. = = = - d. = None TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
5 MATHEMATICS SAMPLE QUESTIONS VOL.0. Differentiate sin sin cos cos a. d. sin sin sin sin e tan 4. Differentiate n cot n (cot )(e sec ) (e tan)(cosec n a. n (cot ) n (cot )(e sec ) (e tan )(cosec n (cot ) n (cot )(e sec ) (e sec )(cosec n (cot ) n n n ) n n ) ) n (cot )(e sec ) (e tan )(cosec d. n (cot ) n n ) TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
6 MATHEMATICS SAMPLE QUESTIONS VOL.0 5. a b p q r differentiate ap bp ar bq a. (p q r) ap bp ar bq (p q r) ap bp ar bq (p q r) ap bp ar bq d. (p q r) 6. Find the intervals in which the function f given by f() = is Strictly increasing a. > < > d. >- 7. The function given by f() = + 7 is a. Strictly increasing Strictly decreasing increasing d. Decreasing TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
7 MATHEMATICS SAMPLE QUESTIONS VOL.0 8. The function given by f() = e is a. increasing Strictly decreasing Strictly increasing d. Decreasing d 9. a. C C C C d. TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
8 MATHEMATICS SAMPLE QUESTIONS VOL.0 0. a b c d a. a b c C a b c C a b c C d. ay b c C d. e a. e C e C e C d. e C TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
9 MATHEMATICS SAMPLE QUESTIONS VOL.0. Let ABC be a triangle such that ACB = π and let a, b and c denote the 6 lengths of the sides opposite to A, B and C respectively. The value(s) of for which a = + +, b = and c = + is equal to (a) ( + ) (b) + (c) + (d) 4. If the angles of a triangle are in the ratio : : 7, then sides are in the ratio of (a) π : : ( + ) (b) : : ( + ) (c) : ( + ) : (d) : ( + ) : 4. If angles A, B and C are in AP, then a+c (a) sin A C (b) cos A C (c) cos A C (d) sin A C b is equal to TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
10 MATHEMATICS SAMPLE QUESTIONS VOL.0 5. Find the value of a. d. o cos 0 o 6. Find the value of cos 480 a. d. 6 o 7. Find the value of sin 5 a. d. 4 TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
11 MATHEMATICS SAMPLE QUESTIONS VOL.0 8. The angles of a quadrilateral are in A.P. whose common difference is 0 0. The Smallest angle is (a) 75 (b) 85 (c) 90 (d) The sum of the series: (a) 8 (b) 9 (c) 8 (d) 8 0. The sum of first 4 terms of the A.P. a, a, a, if its is known that a + a 5 + a 0 + a 5 + a 0 + a 4 = 5. (a) 500 (b) 5 (c) 900 (d) 4. The ratio of the sum of m and n terms of an A.P. is m : n. Then the ratio of the m th and n th terms is (a) (n ) : (m ) (b) (n ) : (m + ) (c) (m + ) : (n + ) (d) (m ) : (n ) TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
12 MATHEMATICS SAMPLE QUESTIONS VOL.0 a b,. Suppose ƒ() = 4, and, if b a, possible values of a and b? a. a=,b=4 a=0,b=4 a=,b=4 d. a=0,b= lim. Evaluate 4 a. 0 d.none lim 4. Evaluate 4 a. d. lim ƒ() = ƒ(). What are 5. A mint prepares metallic calendars specifying months, dates and days in the form of monthly sheets (one plate for each month). How many types of calendars should it prepare to serve for all the possibilities in future years? a d. TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
13 MATHEMATICS SAMPLE QUESTIONS VOL.0 6. There are four parcels and five post offices. In how many different ways can the parcels be sent by registered post? a d A coin is tossed five times and outcomes are recorded. How many possible outcomes are there? a. 44 d In how many ways can an eaminee answer a set of ten true/false type questions? a d A bag contains three green marbles, four blue marbles, and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble is a d. 9 7 TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
14 MATHEMATICS SAMPLE QUESTIONS VOL A number is selected at random from the numbers,,5,5,7,7,7,9,9,9. The probability that the selected number is their average is a d If a number is chosen from the numbers,, and a number y is selected from the numbers,4,9. Then, Py 9. 7 a d The coefficient of ratio n in the epansion of n n and are in the a.: : : d.: n 4. If the coefficient of the middle term in the epansion of is a n and the coefficients of middle terms in the epansion of are b and c then a. a b c a c b a b c d. a b c 0 TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
15 MATHEMATICS SAMPLE QUESTIONS VOL.0 / / 44. The term independent of in 0 is : 9 a. C C.. 0 C.. d. 0 C If a b c 0 has equal roots, then c = (a) b a (b) b a (c) b 4a (d) b 4a 46. If the equation a a 0 has two distinct roots, if (a) a (b) a = 0 (c) a = 0, (d) a = -, The positive value of k for which the equation k 64 0 and 8 k 0 will both have real roots, is (a) 4 (b) 8 (c) (d) 6,if 48. The function ƒ defined by ƒ() = 5,if a. at = 0?, at = at = d. none continuous TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
16 MATHEMATICS SAMPLE QUESTIONS VOL The function ƒ defined by ƒ() = a. at = 0?, at = at = d. none,if 5,if discontinuous 50. All points of discontinuity of ƒ a. = = =4 d. =,, ANSWER KEYS B C A D 4 B B B B B 4 D D A B A 4 C 4 D 4 A 4 B 4 C 44 C 5 A 5 C 5 A 5 C 45 D 6 B 6 A 6 B 6 A 46 A 7 A 7 A 7 A 7 B 47 D 8 C 8 C 8 A 8 C 48 A 9 C 9 C 9 B 9 D 49 B TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
17 MATHEMATICS SAMPLE QUESTIONS VOL.0 0 A 0 B 0 C 40 B 50 B TMC Shipping Pvt. Ltd., S.C.O. 70, Sector-4, Panchkula - 409, Haryana, India. Call: , Website:
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