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Edited with the trial version of, Foxit Advanced PDF Editor, To remove this notice, visit:, www.foxitsoftware.com/shopping, , T1 : T2, , Q = 64 kg., , 9:8, From eq. (i) & (ii), , 7., , (a), , when thickener is same, , Before :, , Now, , Raw material, , 3, , :, , 7, , Wages, , 4, , :, , 9, , 2W2 9 R12, , W2 8 R22, , Cost, , 7, , 16, , ↓×3, , ↓×3, , R12, , Real cost, , 21, , 48, , W1 T1R12, , W2 T2R22, , R22, , , , W1 R12, , W2 R22, , 16, 9, , According to question, 21 unit = Rs. 18, , R1 4, , R2 3, 6., , 48 unit = Rs. 18, 48 unit =, , (a), Dj ∝, , D, ................... (i), v, , Dj = Duration of journey, 8., D = Distance, , Q, .................. (ii), Nc, , (a), Ratio of mixture by volume, , V = Velocity, V∝, , 18, ×48 = 41, 21, , cement, 1, , Q = Quantity of coal, , Sand, :, , 2, , Gravel, : 4, , Ratio of weight, Nc = Number of carriage, , 94, , :, , 100, , : 110, , From eq (i) and (ii), , Required ratio to give proper mixture, , Case I, , 94, , :, , 100×2 :, , 47, , :, , 100, , Dj = k, , D Nc, Q, , k = constant, , 1, 50 18, = k, 2, 100, , 9., , : 220, , (a), total journey = 48km, , 1, k=, .................. (iii), 180, , Ratio of distance covered by, , Case II, Dj = k, , 110×4, , D Nc, Q, , Distance, , tanga, , :, , Rickshaw : cycle, , 8, , :, , 1, , :, , 3, , 32km, , :, , 4km, , :, , 12km, , :, , 1, , :, , 4, , Charges per km 8, , 28, 1 42 16, , , 60 180, Q, , ↓×3, , 6, , ↓×3, , ↓×3
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Edited with the trial version of, Foxit Advanced PDF Editor, To remove this notice, visit:, www.foxitsoftware.com/shopping, , 24 P/km, , 3 P/km, , 12 /km, , x = 25k, , total charge = 24×32+3×4+12×12, , x – a = 25k – a = 11k ⇒ a = 14k, , = 768 + 12 + 144, , x – b = 25k – b = 9k ⇒ b = 16k, , = 924 paisa. = 9.24 Rupees, , x – c = 25k – c = 5k ⇒ c = 20k, a : b : c = 14k : 16k : 20k = 7 : 8 : 10, , 10., , (a), x, , :, , Y, , :, , 2, , 4, , :, , 5, , :, , 5, , 3, , :, , 3, , :, , 4, , 12 :, , 15 :, , 13., , Let, , a3 b3 c3, , 100, , =, , x+ y = 12k + 50 + 15k + 100, =, , b3 c3 d3, b3k 3 c3k 3 d3k 3, , b3 c3 d3, 3, , , , 3, , 3, , k b c d, , 3, , , , , , 1, k3, , b c d d, , a b c a, k, 3, , 14., , (a), , (a), a + b + c = 14, , x a 1, , y b 1, , (a + b) : (b + c) : (c + a) = 6 : 7 : 8, After adding both side ratio, , 1250 a 1, , 1600 b 1, , 2(a+b+c) = 6x+7x+8x = 21x, , 1250 – a = 1600 – b, , a+b+c =, , a – b = -350, , 12., , =, , 21x, = 14, 2, , 4, 3, , |a - b| = 350, , x=, , (c), , Value of (a + b) = 6x = 6×, , x=, , c = dk, , 1, , 27k + 100, , = 2700 + 150 = 2850, , 11., , b = ck ,, , b3 c3 d3, , 4700, , k=, , a b c, =k, b c d, , a = bk,, , 20, , 12k + 15k + 20k = 5000-(100+50+150), 47 k =, , (d), , abc, 2, , 4, =8, 3, , Value of C = (a+b+c) – (a+b) = 14 – 8 = 6, , 2x = a+b+c, 15., , (x - a) : (x - b) : (x - c) = 11 : 9 : 5, , (c), a:b=c:d, , After adding both side ratio, 3x – (a+b+c) = 25k, , let, , 3x – 2x = 25k, 7, , a c, =k, b d
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Edited with the trial version of, Foxit Advanced PDF Editor, To remove this notice, visit:, www.foxitsoftware.com/shopping, , a = bk, , and c = dk, , pencil divide in ratio = k : 1 =, , ma+nc mbk+ndk, =, mb+nd mb+nd, , ⇒, , k mb+nd , mb+nd, , =, 2nd Part : pencil, , =k, , 5 1, :1, 2, , 5 1 : 2, , = 2 : 2+1+ 5, , , , = 2 : 3 5, , Now solve by option, , a c bk dk k b d , =k, , , bd, bd, bd, , 18., , So right answer is option (c), , , , (a), 2, 5, , 3, 4, , James + 16 =, , Alice – 70 =, , 3, 5, , Bond – 4 = 6x, , (let), 16., , (d), According to the question, Sukhai, 5, = .................... (i), mig+Jaguar 7, , and, jaguar, 1, = .................. (ii), mig+Sukhai 2, , Jaguar :, , Mig, , 5, , 4, , 3, , :, , :, , Alice’s share =, , 4, (6x+70), 3, , Bond’s share =, , 5, (6x+4), 3, , 5, 4, 5, (6x-16)+ (6x+70)+ (6x+4) = 500, 2, 3, 3, 15x – 40+8x+, , Sukhai : mig = 5 : 3, , 17., , 5, (6x-16), 2, , According to the question, , eq. (ii) multiply by 4 than we get, Sukhai :, , James share =, , 280, 20, +10x+, = 500, 3, 3, , 33x+60 = 500, x=, , (b), , 440 40, , 33, 3, , Let pencil divide in ratio, Alice’s share =, , = k : 1 (here k is big part), According to question, , =, , k k 1 Pencil, , 1, k Big part, , k2 = k + 1, , 19., , k2 – 5 – 1 = 0, 1 14, k=, 2, , k=, , byax2 +bx+c=0 , , , -b± b2 -4ac , x=, , 2a, , , , 4, (6x+70), 3, , 4, 40, , 6, 70 = 200, 3 , 3, , , (b), a, , b, , c, , 1st condition → 3, , 4, , 5 . ............. (i), , 2nd condition → 5, , 4, , 3 . ............ (ii), , but No. of orange is unchanged so we multiply, eq.(1) by 3 and eq. (2) by 5, , 5 1, 2, , a, 8, , b, , c
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Edited with the trial version of, Foxit Advanced PDF Editor, To remove this notice, visit:, www.foxitsoftware.com/shopping, , 9, , 12, , ↓+16, , ↓+8, , 25, , 20, , 15, , Saving ratio = 6 : 71 : 11, , 15, , 22., , Increase ratio = 16 : 8 = 2 : 1, , 20., , (c), let certain distance = 60 meter, length of each jump of dog =, , 60, = 12 meter, 5, , length of each jump of lion =, , 60, = 4 meter, 15, , length of each jump of fox =, , 60, = 3 meter., 20, , (c), Won, , Los, , table A →, , 10, , : 1, , Table B →, , 20, , : 1, , Table C →, , 30, , : 1, , Dog, , he get maximum profit when he won. table B and, Table C, maximum earning = 20 × 200 + 30 × 200 – 1 × 200, , Lion, , Fox, , Speed Ratio →, , 12×7 : 4×10 : 3×12, , Speed ratio →, , 21, , : 10, , : 9, , = Rs. 98000, 23., , he get minimum profit when he won table A and, table B, , (c), a, b, c, d, e, f, g are in continued Proportion, , minimum earning, , In this condition we know, , = 10 × 200 + 20 × 200 – 1 × 200 = Rs. 5800, , d=, , ag bf ce, , difference between maximum earning and, minimum earning = 9800 – 5800 ⇒ Rs. 4000, , d2, ⇒a×b×c×e×f×g, , 21., , d2, , (c), A, Income →, , :, , B, , :, , d2, , C, , 3x :, , 7x :, , 4x, , Expenditure → 4y :, , 3y :, , 5y, , ⇒ d2 × d2 × d2 = d6, , According to the question, , 24., , Expenditure 4y 6, , Income 3x 7, , ⇒, , (a), In that type of question option method is best, option (a) is satisfy to both conditions so right, answer is option (a), , y 9, , x 14, 25., , After put the value of x and y, , (b), , A, , B, , C, , Present income of, , 3×14=42, , 7×14=98, , 4×14=56, , A, , Expenditure → 4×9 = 36, , 3×9 = 27, , 5×9 = 45, , Saving ratio =, , 71, , 11, , Income →, , 6, , :, , :, , 3×, , 9, , 3, 2, , :, , B, , :, , 5×, , 5, 4
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Edited with the trial version of, Foxit Advanced PDF Editor, To remove this notice, visit:, www.foxitsoftware.com/shopping, , 18, , :, , 25 =, , 43, , ↓×200, , ↓×200, , ↓×200, , 3600, , 5000, , 8600, , SOE COMPETITIVE CLASSES, {DUMRAON}, Cont-9931878918, , 10