SSC TIER II (MATHS) MOCK TEST - 21 (SOLUTION)

Transcription

1 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI-0009 SS TIER II (MTHS) MOK TEST - (SOLUTION). () Let, totl no. of students Totl present students Required frction 5 5. ( zero, nd one more zero when the '5' in 50 will be multiplied by ny ''. () Let, number of friends who ttended picnic (D) ccording to the question 5. (D) (D) LM of 5, 0, 90 nd 05 is 0 So they ll ring together fter 0 minutes i.e. hours, t 9.M. 7. () 5 sin 5 cos 5 sin 5 cos 5 sincos Minimum vlue of sin cos 5 sin cos Minimum vlue of () If tn ( y). tn ( y), then, ( y) ( y) 90 5 Now, (sin sec) 9. () ( ) 9 ( ) 5 0 5( ) 0. () y y y (i) ( ) ( ) ( ) (D) y yz z (ii) Z Putting the vlue of y from eqution (i), in eqution (ii) (y )z z yz b c subtrct "" from both sides, b c b b c c ( ) Ph: ,

2 . () 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI-0009 F E O D M OF is n equilterl tringle FM F F re of FE F m. (D) Let Front wheel complete '' revolutions ( 7) ( 0) ( 0) Distnce covered km.. () In hours, ngle formed by hour hnd 90 re of sector r m 5. (D) Let he sell '' pens Totl.P. 0 To gin 50%, Totl S.P (...) Hence, Required number of pens 9. (c) cos cos n, nd sin cos m cos² n sin, cos m cos Now, n sin m cos n (-cos ) m cos 7. () Minimum vlue of sin 8cos 8 0 So, P Must be 0 8. () sin(75) sin (5 0 ) sin 5 cos0 cos5 sin 0 9. (D) If sin cosec then, sin, cosec sin cosec 0. () n cos m n Ph: , D.T.Q, Time tken by cr to cover units distnce 0 min. Time tken by cr to cover units distnce 0 0 min. Required time 0 0 hours. () We know tht, sec tn (sec tn) (sec tn) sec tn... (i) sec tn... (ii) On solving eqution (i) nd (i), we get sec 5 5 Now, sin cos 7 5. (D) (cos) (cos)(cos) ( cos) ( cos) ( cos)... (given) Now, (cos) (cos) (cos) ( cos) ( cos) ( cos) ( cos ) ( cos ) ( cos ) sin sin sin sin sin sin

3 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI () We know tht cos90 0. () Mn _ So, cos0 cos0 cos0 cos0... Womn _ cos0 sin0 0 oy _. (D) nd 5 Now, 8 5. () y y 0 (y ) 0 0, nd y Now, y 0 ( ) 8. () Let the totl no. of sides n ( n-) n n 80n h 0n 70, h n Hence, Required number of sides. 7. () TQ, In O oc O O cm nd, 8 cm 8. () Required percentge % 9. () If selling price increse by `, less chir will be sold 00 If selling price is, less chir will be sold. Totl chir sold () M M M MD MD MD m Now, QD 7 m, O P QM 5 m OP M Q D nd, P 5 m In OP, O P OP O m To complete the work in dys, they 5 hve to do 0 unit work in dy. Now, 0 0 boys MD M D. () W W Hence, re of circle 5 50 m `50 Ph: , Required number of men () ksh complete the work dys 8 8 ksh complete totl work dys. () Pipe 9 8 Pipe Required time 8 ( ) 5 5 hours 5. (D) oy Mn efficiency The wges will be in the rtio sme s efficiency Required wges of mn 00 `00. () ccording to the question 7 nd, Required time 5 05 dys 5 7. () For mimum profit, S.P. must be mimum nd.p. must be minimum Mimum profit 0 0 ` 0 8. () Loss required % (D) Let cost price per wtch ccording to the question (0) 00 %

4 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI (D). () ( 7) 9 ( - 7) 5 8 minimum vlue of ( -7) O So, minimum vlue 5. () re of tringle sin M. vlue of sin 90, So, 8 08 D P F 0 0 E is n equilterl tringle F : In-rdius (R ) 8 P F R DE is lso n equilterl tringle DE DE P Inrdius of tringle DE DE. () ircumrdius (R) hypstenuse hypotenuse (h) cm b h Inrdius (r), ( & b re sides of tringle) b b 0 cm nd, Perimeter b h 0 5 cm. () () Ph: , () 0, 0 7. () nd, Now, ( ) ( ) () Let he hs "" rupees 50 0 M ( pple, M Mngo) P 50 [P totl pple purchse) P () Let the number 00 fter decresing by M% 00 M M Required percentge 00 M M 00 M

5 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI () oy : Girl 5 : 7 Required percentge () Let the numbers re nd y y 0 ( y) y y 7 y :y :7 5. () On Erth, wter 80, Lnd 0 In si (0) Wter 8 Lnd In Rest of the world (0) Wter Lnd 0 8 Required Rtio 8 : 5 : 5. (D) Let, norml speed km/h nd norml time T hours ccording to question, 0 T 0 T 0 T hours 0 0 km/hr 5. () Let, they meet fter time 'T' minute T 8 7 minutes Required time 8 70 minutes 57. (D) Let, speed km/hr nd time y hrs 58. () 59. (D) y ( ) y y y y 9y (i) nd y ( ) y y y y y (ii) From (i) nd (ii), we hve y 0, Distnce y 0 Digonl of innermost 0 km. squre 50 0cm Digonl of outermost squre 0 (.5) 8 8 cm. D () Speed of cr M N km/hr 5 Required time 700 N 000 M 7N 0M hrs () Let speed of strem km/hr 9 Required time hours re of D 8 m D 0. re of D m Hence, re of D m Ph: ,

6 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI () Let the side of cube 9 ( 9 9) Required rtio () 8: 9 : 8. () Let height of cone h ccording to the question R 7 R h h 5 cm.. (D) Totl surfce re of prism () ( ) (5 )cm S R P O D cm M N re of PQRS cm P Q cm 8 cm. () D nd, re of D PM PD MD cm re of MNOP cm Hence, totl re 8... cm. () 5. (D) Let (0) 00 nd, y... 0 y y 0() (55) 05 Now, Required sum y () Let the cost price `00 then, Selling price `0 7. () Let required rte R% R R 70 0 R 00 R 0% 8. () Let the money borrowed ` P 9 5 P P P P ` () Sum of money 8 ` ompound interest (hlf-yerly) 800 ` Simple interest ` Required Difference ` `. 70. () Let required mount ` ccording to the question ` () st lloy nd lloy Required Frction Required frction prt Ph: , Zinc : opper : tin Zinc : opper: tin : led : : : 8 : 7 : 9 : 0 Required weight kg. 7. () Let totl miture 8 units Initilly, wter units milk 5 units Finlly, wter milk Let '' unit of miture ws tken off unit

7 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI (D) Let p r t q s u 5 p br ct ( b c ) :5 q bs cu 5( b c) 7. (D) Let, required number () (7 ) (7 ) (5 ) 75. (D) Let, there re, y nd z students in 8th, 9th, nd 0th clss respectively. 5 y 9 y 5 y 9 9 y...(i) y 55z 5 y z y 55z 5y 5z 5y z...(ii) From eqution (i) nd (ii), we hve 0 5y z : y : z : : 5 Required verge weight kg. 7. (D) Required verge yers 77. () Sum of ll four numbers 7( ) 9 Lst number 9 ( ) 78. () m ( m ) ( m ) ( m ) ( m ) h 5 5m 0 5 h m h (i) Required verge ( m ) ( m ) ( m ) ( m 5) ( m )( m 7) m 7 m 7 (h-) 7 h 5 (from eqution (i)) 79. () Required verge Ph: , () ( 7 ) ( ) ( ) Sides of rectngle re ( ) nd ( ) Perimeter ( ) ( ) cm 8. () Required Volume.5 0, m 8. () re (. sin5 ) (. cos5 ) sin5º cos5º 0 0 sin0º 5.5m cm 8. () SP of rcket ` 0. P ` () Simple interest per yer 000 Let rte R% 000 R R 5 % Let sum ` P P P ` 0, ().P. of mied te 0 ` ` 0 0 Required rtio : 7 : 7

8 8. () 87. (D) 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI-0009 P Q Q R, Q PR Q P R P Q Q P R Q Q R P : R M D M D W W 8 8 sec. 88. () Let ontribute ` ` 70 Let ontribute ` y y 8 70 y ` () 7 nd 9 re co-prime numbers, So the number must be divisible by (D) R 770 R R 7 5 RL 8 L nd, L R H H 5 Volume cm 9. () Required percentge % (D) Required number (D) Required rtio () Required number () Required Rtio : () Required rtio () ountries, nd F ehibited trde surplus. 98. () Totl eport 889 Lkhs Totl import Lkhs deficit 889 Lkhs 99. () The Highest trde deficit shown by country lkh 00. () In country 'c' the rtio of eport to import is the highest Ph: ,

9 007, OUTRM LINES, ST FLOOR, OPPOSITE MUKHERJEE NGR POLIE STTION, DELHI-0009 SS TIER II (MTHS) MOK TEST - (NSWER KEY). (). (. (). (D) 5. (D). (D) 7. () 8. () 9. () 0. (). (D). (). (D). () 5. (D). (c) 7. () 8. () 9. (D) 0. (). (). (D). (). (D) 5. (). () 7. () 8. () 9. () 0. (). (). (). (). () 5. (D). () 7. () 8. () 9. (D) 0. (D). (). (). (). () 5. (). () 7. () 8. () 9. () 50. () 5. () 5. () 5. (D) 5. () 55. () 5. () 57. (D) 58. () 59. (D) 0. (). (). (D). (). () 5. (D). () 7. () 8. () 9. () 70. () 7. () 7. () 7. (D) 7. (D) 75. (D) 7. (D) 77. () 78. () 79. () 80. () 8. () 8. () 8. () 8. () 85. () 8. () 87. (D) 88. () 89. () 90. (D) Note:- If your opinion differs regrding ny nswer, plese messge the mock test nd question number to Note:- Whtspp with Mock Test No. nd Question No. t for ny of the doubts. Join the group nd you my lso shre your suggestions nd eperience of Sundy Mock Note:- If you fce ny problem regrding result or mrks scored, plese contct () 9. (D) 9. (D) 9. () 95. () 9. () 97. () 98. () 99. () 00.() Ph: ,