SSC [PRE+MAINS] Mock Test 131 [Answer with Solution]
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1 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 [] () ( + + ) [ ] () ( + + ) [ ] () [ ] 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
2 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, () () 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 ( + + ) (given) (given) (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 () OR (P + Q + R) Monthly income of P m m Squing both side + m m vege of nd m Put, M / So potion () m
3 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. () given, 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, Rs () 0 : :, (000, 000). () ` 00 (00 mete) P 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) / / so, b, m m + b + Rs. 0. () 0% + 0% y z 0% + 0% y z + subtcting we get, 0%( y) y 0 Loss of / /
4 . () M S Pofit % () Let MRP is % /0 istnce of 0% 00 /0 istnce of 0% 0 nd 000 /0 istnce of % 0 / istnce of 0% () S Pofit %. () M S 0 9. () 9. () Pofit % % 00.% Wok done in two hous ( + ) () 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 pise coin.. () Totl numbe of students. Initilly oys : Gils : oys Gils h min. m 9 The numbe of boys who left the school
5 . () sq.m 9. (). (). () e L cm ( + ) 0 L cm cm e cm 0. () 90 0 ( ) 9 cm () 9 () h is sque +. () 0 imete 0 0 cm h cm cm ( + ) ( ) so, side of sque () units. () n () () n n R cm (R) R 00
6 . (). (). () 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. () ns mount Pesent ge of fthe Pesent ge of son Rtio 0 : 0 :. () Rtio of cpitls 000 : 000 Rtio of pofit : Now, ( ) / 00 (0% /) 0 so, Totl pofit + 0 Rs. 9.0
7 (L) () + L (by Pythgos theoem). () pitl,. () Totl cpitl LM of & Time / / so, pitl Time ( T) 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
8 . () 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, 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 m. () st se 0 00 (sy) nd se 00 0 ( 00) ccoding to the question, y km/h
9 . () 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 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 Rs () 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
10 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 n n 0 0 n yes hlf ye n 00. () % % : 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
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