SSC [PRE+MAINS] Mock Test 131 [Answer with Solution]

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SS [PRE+MINS] Mock Test [nswe with Solution]. () Put 0 in the given epession we get, LHS 0 0. () Given. () Putting nd b in b + bc + c 0 we get, + c 0 c /, b, c / o,, b, c. () bc b c c b 0. b b b b nd hee, b Now given, b c omping the co-efficient we get, 0, b, c + b + c 0 b c b c c b. () b c put, b c we get, 9 put, b c in option we get () ( + + ) 9 [] () ( + + ) [ ] () ( + + ) [ ] () + + 0 [ ] Hence (). () We hve, given, 9. () Put, 0, b, c we get,. () Given 0 similly, y y y b y z c z b c y z so, y z y z b c b bc c b b c bc bc bc bc c b b bc c

9. () y... since the epession involves '+' sign. so, the nswe will be the lge mong nd. nswe is. 0. () y.... () squing we get, y... ubing we get, y... y y y () y. () If f() + + is divisible by then f() so, 0 + +. () 99 9 9 9 9 9 0 9 9. () his left 99 Tbles left 0 90 so, numbes of people who cn wok is the lesse mong 90 nd 99 i.e. 90. () 0 G G G. () Sum of pocket money of ( + + ) 0 0 Spend by ( + + ) 0 0 0 (given) (given) + + 0 (spend pocket money) 0 0. () Ovege weight Sum 9 Weight of lst plye 9 kg Lst plye hevie thn fist plye 9 kg. () Sum of P nd Q 00 Sum of Q + R 0 Sum of P + R 00 9. () OR (P + Q + R) 00 00 Monthly income of P 00 00 000 m m Squing both side + m m vege of nd m Put, M / So potion () m

0. () Wte : Syup / pt should be eplced. () homium Steel 9 : is the equied tio.. () lcohol Wte / 0 lites. () Milk Wte Totl 9 0 Given 9 9 / ( ) ml. () Given y, so, y y y. () Let the pice be 00 so, find pice of the ticle. () 00 00 00 00 00 00 00 00 given, 0000 00 00 0000 0000 00 0000 Pice Quntity so, equied tio is /. () Numbe of oys Numbe of Gils Totl 0 equied tio 0 : ( + ) :. () 0% % % 0% Thus totl pofit on the pts 0 + % so, equied gin % 0 % 9. () Given, 0 0 00 0 0 Rs. 00 0. () 0 : :, (000, 000). () ` 00 (00 mete) P 0 (+0) ( 0) + 0 0 0% gins. () b + m b + m dding we get, b + m (b + m) b + m subtcting we get, (b m) 0 b m 0 ( 0) / / 0 0 0 so, b, m m + b + Rs. 0. () 0% + 0% y z 0% + 0% y z + subtcting we get, 0%( y) y 0 Loss of / /

. () M S 0 0 9 Pofit % 9 0 00 0. () Let MRP is 000 00 0 % 00 00 000 /0 istnce of 0% 00 /0 istnce of 0% 0 nd 000 /0 istnce of % 0 / istnce of 0% 0 0 0 0 0 0 000 00. () S 0 0 0 00 0 00 0 Pofit %. () M S 0 9. () 9. () Pofit % 9 0 00 0 0 % 00.% Wok done in two hous ( + ) 90 0. () hs 0 m Remining wok ( M M ) hous m hs. () 0. () P 0 0 Q P, R nd S e open. : : 9 : 0 : R S ( ) 0 (iffeence of 9 ) : (iffeence of ) 9 : ] : ] 9 : R R R gete numbe. () p t q s u (mp + n + ot) : (mq + ns + on) (m + n + O) : (m + n + 0) (m + n + 0) : (m + n + 0) :. () Totl money Rs. Rs. : 0 P P No's Rs. 0.0 R R.0 00 0 pise coin.. () Totl numbe of students. Initilly oys : Gils : oys Gils +0 9 0 h min. m 9 The numbe of boys who left the school

. () sq.m 9. (). (). () e L cm ( + ) 0 L cm cm e cm 0. () 90 0 ( ) 9 cm () 9 () 0 0 9 h 0 0 900 is sque +. () 0 imete 0 0 cm h cm cm ( + ) ( ) + + 9 + so, side of sque () units. () n () () n n R cm (R) R 00

. (). (). () 00 R R 00 R so, dius height slnt height Volume of wte isen in the cylinde. Volume of wte isen in the cylinde volume of sphee (.) ( ) /(.) / / R h R V h H H V 0 cm h h H H Totl height R 0 R 0 R 0 0 cm R R R R R. ().S km/h U.S km/h ot. () S US T / T : S. () ot Wte : : : 0 9. () 000 /0 0. () 00 00 0 ns. 00 0 mount 00 + 0 + 0 0 0 0 0 0 Pesent ge of fthe 0 0 0 Pesent ge of son 0 0 0 Rtio 0 : 0 :. () Rtio of cpitls 000 : 000 Rtio of pofit : Now, ( ) / 00 (0% /) 0 so, Totl pofit + 0 Rs. 9.0

(L) () + L (by Pythgos theoem). () pitl,. () Totl cpitl LM of & Time / / so, pitl Time ( T) + + 0 0 Rest 0 Rs. 0 0 P M (mid-point) () + b...(i) In M (M) () + (M) (M) (b) +...(ii) y dding (i) & (ii) + M + b + b + + M + b + M ( + b ) + M M M M 0 lely P nd e secnt nd M is tngent to the cicle. so, P M P P Hence, (). () ( ) M 0. () In OM, O M + OM. () M O OM M M O M / / /. () In, () () + (b) ( + b ) ( + b ) In L, M units b L b O M N OM ON MN cm

. () hnge options. In, + > + > similly, + > E + > F F E. (). () tn cot cot tn put, tn Only option () stisfies E ( + + ) > + E + F E F 9. () Q P Q R S P S R y dding + + so,. + + 9.. cm 0. () 0 n 0 N : n N P cm S Q cm n N : n N Only option () is stisfy. () + b + c b + bc + c Multiplying both side by + b + c b + bc + c b + b b + c + c b + 0 ( b) + (b c) + (c ) 0 b c sin 0 + sin 0 + sin 0 9. () sin º y cosec 0º. () cosec0º y sin º y y y sec 0º cot 0 cosec 9 tn m sec 0º cot 0 cosec 9 tn 9 m m m R. cm In, 0 m If, In, º 0º then lso nd so, Rtio 0 mts 0. () Policemn No. of steps Thief 0 (lwys wite the numbe of steps fist) Requied tio : 0 :. () Reltive speed (00 m/min 0 km/h) (. km/min 0/0 km/min). 0. km/min Length of tin 0. 000 0 m. () st se 0 00 (sy) nd se 00 0 ( 00) ccoding to the question, 0 00 00 0 00 y 00 0 0. km/h

. () 0 km Speed of fist tin S Speed of second tin S S + S 0 0 S + S...(i) oth tin meet fte hous. so, 0 Remining (0 0 0) km is coveed by tin is h, 0 min S 0 0 0 S 0 0 km/h S km/h (by eqution (i)) 9. () Speed of m/sec. 9. () 9. () / / E is the eteio ngle of º º E mete Time tken by 00 cove 9 mete in sec. so, speed of 9 m/s 9 km/h. km/h 0 sec. 90. () Muti mbssdo Lst ye This ye So, ( + ) 0000 Rs. 90000 0000 Rs. 0000 9. () Sum of ge of fmily ye go ws Sum of pesent ge of fmily 0 ge of bby 0 ( + ) 0 00 yes Height of common chod 9. () b c hod : dius : b c 0...(i) If + b + c 0 then + b + c bc Fom eqution (i) + b c bc cubing both side ( + b c) bc ( + b c) bc 0 9. () SP of 0 toffee.0 SP of toffee.0 0 pise. Gin 0 on cost pice 0 P of toffee 0 0 pise 0 pise 9

9. () Milk left Totl quntity This poves epeted two time moe Left Milk totl Quntity of wte lites 9. () Let the thid pt 00 Sum of fist two k 00 + k N 9. () N 00 k 00 00N k 00 b b 99. () 0% yely 0% hlf ye 0 0 0000 0 n n 0 0 n yes hlf ye n 00. () % % : + 0 0 0 nswe Key % %. (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 0. (). (). (). (). (). (). (). (). () 9. () 90. () 9. () 9. () 9. () 9. () 9. () 9. () 9. () 9. () 99. () 00. () 0