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Linear Enequility Test, , Test Date and Time is 23-Jan-2022 and 11:00, AM to 12:30 PM or 7:00 PM to 8:30 PM, , =, BY DR. SAMEER SIR, , Which of the following statements is ?, (a) Ifx > y and b < 0, then bx < by sores, (b) If x > y, then x > 0 and y <0, , (c) If xy < 0, then x > 0 and y > 0, (d) All of these, , If 4x +3 <6x+7, thenxe, , , , (a) (2, <) (b) (-2, 2), (c) (-e, 2) (d) (= ©, 00), If 5-2x si -5, then x€, , (a) [2, 22) (b) [-8,8] (c) [4,%) (d) [8, ), If 7x +3<5x+9thenxe, (a) (02, 3} (b) (-22, 2) (c) (-9, 3) (d) [3, =), , If a4 A211, then xe, , , , (a) [1,) (b) (le) (c) (-5, 5) (d) [-5, 5], The marks obtained by a student of Class XI in first, , and second terminal examination are 62 and 48, —, respectively. Find the minimum marks he should —, , get in the annual examination to have an average, of at least 60 marks., , (a) 50 (b) 60 (c) 70 (d) 80, Find all pairs of consecutive odd natural numbers,, , both of which are larger than 10, such that their |, , sum is less than 40., , (a) (11, 13), (13, 15), (15, 17), (17, 19), , (b) (11, 13), (13, 15), (15, 17), , (c) (21, 23), (23, 25), (25, 27), (27, 29), , (4) (15, 17), (17, 19), (19, 21), (21, 23), , If-8 < 5x-3<7, thenxe, , (a) (-1, 2) (b) [-1, 2) (©) [-2,%) (d) [-2, 0), , 5-3:, If 35s, then x €, , 10., , ll., , 13., , id, , 45., , (b) [-5, 5], , ll, w [35], o[-S-) @ eee, , If3x~7<5+x, 11-5x $1, thenxe, (a) [2,6] (b) [-2,6] (c) (2,6) (d) (-2,6), , In an experiment, a solution of hydrochloric acid, is to be kept between 30° and 35° celsius. What is, the range of temperature in degree Fahrenheit if, , conversion formula is given by c=3 (F = 32),, , where C and F represent temperature in degree, Celsius and degree Fahrenheit, respectively?, , (a) 86 °F to 96 °F (b) 86 "F to 95 °F, , (c) 36 °F to 42 °F (d) 85 °F to 95 °F, , A manufacturer has 600 litres of a 12% solution of, acid. How many litres of a 30% acid solution must, be added to it so that acid content in the resulting, mixture will be more than 15% but less than 18%?, (a) more than 120 litres but less than 300 litres, (b) more than 140 litres but less than 600 litres, (c) more than 100 litres but less than 280 litres, (d) more than 160 litres but less than 500 litres, , fF 2257, thenxe, x45, , (a) (-12, 5), , (c) (-5, 12), , If |3 - 4x] > 9, then xe, , (a) (-2, -3) U (3,22) (b) (—, , (b) (-12, -5), (d) (5, 12), , Zoe. o), , -3 -3, © (-- 20) @ (-- 3 Jus ), If 1 < |x -2| $3, then xe, (a) [-1,5] (b) [-1, 1) U 13, 5], (c) (-1,0)U (2,5) (a) (-1,5), The cost and revenue functions of a product are, given by C(x) = 20x + 4000 and R(x) = 60x + 2000,, respectively, where x is the number of item:, produced and sold. How many items must be sol¢, to realise some profit?
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(a) Jess than 40 b) dian 50, (©) less than 50 a) aniyoa, , If le +1] + [x] > 3, then, , (a) x€(-c%,-2)U (1, 6)(b) x €(-29, 2) U (5) |, , (c)_ x €(-00, ) (d) None of these, 18. uf letalee then xe, x+, (a) (-5, -2) (b) (-1, =), , (c) (-5,-2) U (-1,) (d) None of these, 19. The following system of inequalities, x 1 6x el, 2x+1 4° 4x-1 2, (a) infinitely many solution, (b) unique solution (c) no solution, (d) None of these, , , , , , 20. f 22130, then xe, , (a) [2,29) (b) (2,2) (c) (2, 2) (d) (—-, 2], 21. The length of a rectangle is three times the breadth., , If the minimum perimeter of the rectangle is, , 160 cm, then, , (a) breadth > 20cm (b) length < 20cm, , (c) breadth> 20cm (dd) length < 20cm, , 22. Solutions of the inequalities comprising a system, in variable x are represented on number lines as, given below, then, , "sy, , (a) x €(- ©, -4] U [3,) (b) xe [-3, 1], (c) x€(-, -4) U [3,0) (d) xe [-4, 3], , 23. If |x + 3] 210, then, (a) x €(-13, 7) (b) x €(-13, 7), (ce) x€(-,-13]U [7,00)(d) x €(- 2, -13) U7, 0), 24. If the expression (me-1+4)is always nonnegative, then the minimum value of m must be, 1 1 1, (a) "z (b) 0 © | (d) 2, , 25. If [2x - 3] < |x + 5], then x belongs to, (a) (-3, 5) (b) (5,9), , 0 (a) wo (4, , 26. If (x - 1)(x* - 5x + 7) < (x ~ 1), then x belongs to, (a) (1, 2) U (3, ») (b) (2, 3), (c) (-2, 1) U (2,3) — (d)- None of these, , 27. The inequality 2 < 3 is true, when x belongs to, , wR) o(-J, , © c=or(2.-) (d) None of these, , x-3, — 22, 3) U (10, 2) (b) (3, 10), @ t = 3) U[10,e) (d) None of these, , 28. X+4 _ > is satisfied when x satisfies, , |, , | x-7, — > 2i:, , | 29. Solution of 2—5> is, , i, , (a) (- 3,9) (b) (-29-13), (c) (-13,-3) (4) (- 13,3), 30. Solution of 2=—> > 3 is, 3x-5, 12 5 12, (a) [. 2) (b) 3.2, , of) «[E-)
