RPF MOCK TEST 1 (SOLUTION)

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1 007, OUTRAM LINES, ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-0009 RPF MOCK TEST (SOLUTION). (C) Let the divisor = D( > 7 because remainder is 7) Let the number is x + 7 (where x is multiple of D) And, 7 is remainder. Now, twice of the number = x + 4 D x + 4 D So, 4 D = D = 4 = 9. () Total runs till th over: = 6.8 = 0 runs Remaining runs = 78 0 = 76 Then, required run rate = 76 =. run/over. (A) Actual divisor of 7 =,, 4, 6, 8, 9,, 8, 4, 6 The number of actual divisor = 0 (Excluded and 7) 4. (A) They did the work together for 9 days and then left. The remaining work A can do in days Remaining work (LCM) 4 units/days 6. () R = 00 R = % Required time = (C) For years P : A. For years = 0 years (do its square root) :. P : A For years :. then rate =. 00 = 0% 8. (A) First whole numbers 0,,, 4,...08, 09, 0 0 Total sum = = 60 (last + digit) Required last digit = 9. (D) Let A 6 can do in 4 days 4 units/days Then, required % = 6 00 = 8. (D) A + 8 C can do in day units/days A + + C A + + C (together) = unit/day So, remaining work can be completed by A, and C together = days Total work will completed in = C C + A 7 A + + C = 8 units/day A + + C = 4 units/days = 9 days Then, the work done by A + + C in 4 days = 4 4 = 6 units 60. (A) = 8 6. (C) Let CP of article = CP of n articles = n SP of n articles = 0 The part of work done by them = 6 7 0% + x% = % = 0% + x% = 0% 9 x% = % Ph: , x 0 n 00 = 0 4n = 00 n = 6. (D) The profit percentage on st = 0% Now, he wants to make % profit on both over all. So, if CP is same 0% + x% = %

2 007, OUTRAM LINES, ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI (A) x² + x ² = then, x + x = = So, x 6 = Now, given exp. x 7 + x 66 + x 4 + x 4 +x 6 + (x 6 ) + (x 6 ) + (x 6 ) 9 +(x 6 ) 4 + x () a² + b² + c² = (a + b c) a² + b² + c² = a + b c a² + a + b² + b + c² + + c 0 (a )² + (b )² + (c + )² = 0 So, a = 0 a = b = 0 b = c + = 0 c = Now, exp. a² + b + c² = ()² + () + ( )² = + + = 7 6. () F G cm cm A cm D H 0 cm E cm C 8 cm Area of cuboid is = ( ) = 6 = cm² subtract the are of hole face from it. (hole face ACD & EFGH) Area of ACD + EFGH = + = 8 cm² Now, add the area of remaining four faces of cube = 4 = 6 cm²...(ii) So, total surface area of cuboid = = cm² 66. () Length of car = 4 m length of truck = 0 m Speed of truck = 6 kmph 68. (A) Accommodation + other = 80º + 90º = 70º Education = 00º Exceed % = 69. (C) Food : Others 4º : 90º : 70. (A) x 4 = 70º 00º 00º x = 70% 0x = x 7x = x = (A) A C x hr x hr x 9 hr x + x = 6 = 0 m/s 8 Total distance which will be travelled during overtake (d) = = 4 m time (t) = 0 sec So, relative speed (same direction) S c S t = (D) 0 D A S c 0 =.4 m/s M (Car) S c = =.4 m/sec 67. (C) Expense on food = 4º 64 C 00 = % 60 AC² = A² + C² [pythogras theorem] Ph: , = x 9 (x ) (x 9) = x² x x² 8x + 4 = 0 (x )(x ) = 0 x = 7. (C) Let salary of = 00 and salary of A = 7. Required percentage = (C) x = xy xy xy... x² =( xy x )² = 7 % x² = xy + x x² xy x = 0 x² x (y + ) = 0 x (x (y + )) = 0 x y = 0 x 0 y x =

3 007, OUTRAM LINES, ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-0009 AC² = 48² + 64² AC = = 80 m M = mid point of AC (also DM AC) So, DM = 0² ² = 0 m Total area = Area DAC + Area (DADM) = = = 76 m² 7. () Volume of sphere = Volume of wire 4 p ³ = pr² p = pr².600 = 00r² r² = 00 r = = 0. cm 0 r = 0. cm 76. () (x 6 ), (x 6 ) (x 6 ) = (x 6 ) 6 ) = (x 6 ) As, (x n ) has always (x ) as, one term. Common factor of [(x 6 ) and (x 6 )] = (x 6 ) HCF = (x 6 ) 77. (A) Let average age = x Sum of age = 0x New average = x Sum of age = 0(x ) 0x 0(x ) = old teacher age new teacher age 0 = old teacher age Old teacher (retire) = 0 + = years 78. () Assume volume = 4 unit 79. (A) Pipe 6 4 Pipe + leakage 7 6 Now, efficiency of leakage = 7 6 = unit Required time = = = 0.8 = = = hr. 80. (A) (00, 80) Factorizing ( 7, 7 ) Taking common = 7 (, ) 8 (, 0) students pen each pencil each = 8 8. (A) LCM of 800, 6 and 0 = Required length = cm 8. (A) Let length of train = x m 8. (C) x x + 00 = 0 0 x = x + 00 x = = 6 64 = (D) = = = = (A) Let CP of apple = ` CP of 0 apples = SP of apples Required loss = 0 00 = % 86. (C) Newton is the SI unit of force while lumen is SI unit at light. 87. (D) Headquarter of North railway zone at New Delhi while headquarter of southwest railway of Hubballi. 88. () As, G H I J I D G N Similarly, N O P Q P K N U Largest fraction = (D) (9)² = ()² = 44 Ph: ,

4 007, OUTRAM LINES, ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI (A) As, 9² + 8² = 6 Similarly, 8² + 7² = 8 9. (C) Except 'plage', all others are diseases caused by virus while player is caused by bacteria. 9. (D) 74 (7)³ = (9)³ = (6)³ = 6 8 (8)³ = 9. () Except 'pink' all others are VIGYOR. 94. (C) + + H L K X + A C D I 9. (D) 9 = (L) 4 8 = 6 (F) 9 = 7 (G) 4 = 9 (S) (R) 96. (A) 9 7 = = F E L + 6 = () = = = 98. (C) 99. (A) 6 Q 8 P 4 R S After changing the sings, = = = (C) 0. (C) 0. () From figure, N O A D E A O M Q P H can be formed by folding the figure. 0. (C) 04. () (C) (D) 08. (C) Women Mother Pradeep Maternal Uncle (A) 8 = = 08 E 6 4 = 4 C Ph: , Wife Father Lady Mother 09. (C) abbccd/abbccd 0. (D) ook Pen Doctor Pencil rubber Sister + Son I. II. So, neither conclusion (i) nor (ii) follows.. () ()² 9 = ()² 6 = 6 (4)² = 80. (C) ( + ) ( + 4) = 0 (4 + ) ( + 6) = 48 ( + 6) (4 + 8) = 08. (C) rother P M Maternal Mother Uncle Q N Sister 4. (D). (D) 6. (A) Let salary = ` x 7. (C) 8. () 9. () 0. () A F Then, tips = 4 x Total income = x + 4 x = 7 x Required fraction = 4 x 7x = 4 7 D

5 007, OUTRAM LINES, ST FLOOR, OPPOSITE MUKHERJEE NAGAR POLICE STATION, DELHI-0009 Answer key. (). (D). () 4. (). () 6. (C) 7. (D) 8. (C) 9. (D) 0. (). (). (D). (D) 4. (). (C) 6. () 7. (C) 8. () 9. (C) 0. (A). (A). (). (C) 4. (A). (D) 6. (C) 7. () 8. () 9. (D) 0. (). (D). (A). (D) 4. (). () 6. () 7. () 8. () 9. (). () 4. () 4. (C) 4. () 44. (A) 4. (C) 46. (C) 47. () 48. (A) 49. () 0. (D). (C). (). (A) 4. (A). (D) 6. () 7. (C) 8. (A) 9. (D) 60. (A) 6. (C) 6. (D) 6. (A) 64. () 6. () 66. () 67. (C) 68. (A) 69. (C) 70. (A) 7. (A) 7. (C) 7. (C) 74. (D) 7. () 76. () 77. (A) 78. () 79. (A) 80. (A) 8. (A) 8. (A) 8. (C) 84. (D) 8. (A) 86. (C) 87. (D) 88. () 89. (D) 90. (A) 9. (C) 9. (D) 9. () 94. (C) 9. (D) 96. (A) 97. () 98. (C) 99. (A) 00.(C) 0.(C) 0.() 0.(C) 04.() 0.(C) 06.(A) 07.(D) 08.(C) 09.(C) 0.(D).().(C).(C) 4.(D).(D) 6.(A) 7.(C) 8.() 9.() 0.() Note:- If your opinion differs regarding any answer, please message the mock test and question number to Note:- Whatsapp with Mock Test No. and Question No. at for any of the doubts, also share your suggestions and experience of Sunday Mock Note:- If you face any problem regarding result or marks scored, please contact 9777 Ph: ,

Class 9 th Everyday Mathematics

Class 9 th Everyday Mathematics Year Questions Marks 2012 10 10 2013 10 10 2014 10 10 2015 10 10 2016 10 10 Total 50 50 1. The population of a town was 160000 three years ago. If it had increased by 3%, 2.5% and 5% in the last three