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Passage Based Practice Questions on Quantitative Techniques

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Passage​​ 1

Ross​​ received​​ a​​ lot​​ of​​ gifts​​ for​​ her​​ wedding.​​ The​​ gifts​​ received​​ were​​ both​​ in​​ cash​​ and​​ the​​ commodities​​ and​​ the​​ total​​ value​​ of​​ the​​ gifts​​ was​​ 300000.​​ The​​ cash​​ received​​ was​​ in​​ the​​ 73100. ​​​​ All​​ the​​ cash​​ received​​ by​​ them​​ in​​ the​​ form​​ of​​ currency​​ notes​​ Rs.2000,​​ Rs.1000,​​ Rs.500​​ and​​ Rs.200.​​ There​​ were​​ 17​​ notes​​ of​​ the​​ one​​ denomination,​​ 25​​ notes​​ of​​ the​​ second​​ denomination,​​ 21​​ notes​​ of​​ the​​ third​​ denomination​​ and​​ 18​​ notes​​ of​​ the​​ fourth​​ denominations.​​ Ross​​ decided​​ to​​ spend​​ this​​ money​​ equally​​ on​​ a​​ shirt​​ and​​ tie.​​ 

 

  • What​​ percentage​​ of​​ the​​ total​​ value​​ of​​ the​​ gifts​​ received​​ by​​ Ross​​ was​​ by​​ way​​ of​​ cash?(Approx.)

  • 31%

  • 18%

  • 24%

  • 27%

  • Which​​ of​​ the​​ options​​ below​​ states​​ the​​ correct​​ number​​ of​​ currency​​ notes​​ of​​ each

Denomination​​ received​​ by​​ Ross?

  • 17​​ notes​​ of​​ Rs.​​ 2000;​​ 25​​ notes​​ of​​ Rs​​ 1000;​​ 21​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 

  • 18​​ notes​​ of​​ Rs.​​ 2000;​​ 25​​ notes​​ of​​ Rs​​ 1000;​​ 29​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 

  • 17​​ notes​​ of​​ Rs.​​ 2000;​​ 36​​ notes​​ of​​ Rs​​ 1000;​​ 21​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 

  • 17​​ notes​​ of​​ Rs.​​ 2000;​​ 25​​ notes​​ of​​ Rs​​ 1000;​​ 26​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 

3.​​ If​​ along​​ with​​ shirt​​ and​​ tie,​​ Ross​​ also​​ wants​​ to​​ buy​​ an​​ expensive​​ trousers​​ and​​ therefore​​ decides​​ to​​ divide​​ the​​ money​​ for​​ shirt,​​ tie​​ and​​ trousers​​ in​​ the​​ ration​​ of​​ 1:1:2.​​ Which​​ of​​ the​​ following​​ represents​​ the​​ correct​​ amount​​ spent​​ by​​ her?

  • Rs.​​ 19786​​ on​​ shirt​​ and​​ tie​​ each​​ and​​ Rs.​​ 34250​​ on​​ trousers

  • Rs.​​ 18275​​ on​​ shirt​​ and​​ glass​​ each​​ and​​ Rs.​​ 36550​​ on​​ trousers

  • Rs.​​ 15318​​ on​​ shirt​​ and​​ tie​​ each​​ and​​ Rs.​​ 40250​​ on​​ trousers

  • Rs.​​ 16786​​ on​​ shirt​​ and​​ tie​​ each​​ and​​ Rs.​​ 34250​​ on​​ trousers

 

Passage​​ 2

The​​ Delhi​​ Transport​​ Corporation​​ manages​​ a​​ large​​ number​​ of​​ buses​​ running​​ from​​ one​​ end​​ to​​ the​​ other​​ and​​ connecting​​ all​​ the​​ cities​​ in​​ the​​ country.​​ In​​ the​​ following​​ questions,​​ certain​​ vital​​ information​​ with​​ respect​​ to​​ time,​​ speed​​ or​​ distance​​ is​​ given​​ for​​ different​​ buses, ​​​​ calculate​​ as​​ asked.

  • The​​ length​​ of​​ the​​ bridge,​​ which​​ a​​ bus​​ 130​​ metres​​ long​​ and​​ travelling​​ at​​ 45​​ km/hr​​ can​​ cross​​ in​​ 30​​ seconds,​​ is:

  • 200​​ m

  • 225​​ m

  • 245​​ m

  • 250​​ m

 

  • A​​ bus​​ 125​​ m​​ long​​ passes​​ a​​ man,​​ running​​ at​​ 5​​ km/hr​​ in​​ the​​ same​​ direction​​ in​​ which​​ the​​ bus​​ is​​ going,​​ in​​ 10​​ seconds.​​ The​​ speed​​ of​​ the​​ bus​​ is:

A.

  • 45​​ km/hr

  • 50​​ km/hr

  • 54​​ km/hr

  • 55​​ km/hr

 

  • A​​ bus​​ passes​​ a​​ station​​ platform​​ in​​ 36​​ seconds​​ and​​ a​​ man​​ standing​​ on​​ the​​ platform​​ in​​ 20​​ seconds.​​ If​​ the​​ speed​​ of​​ the​​ bus​​ is​​ 54​​ km/hr,​​ what​​ is​​ the​​ length​​ of​​ the​​ platform?​​ 

  • 120​​ m

  • 240​​ m

  • 300​​ m

  • None​​ of​​ these

Passage​​ 3

A​​ group​​ of​​ 3​​ friends​​ decide​​ to​​ go​​ on​​ a​​ trip​​ together​​ from​​ Delhi​​ but​​ because​​ of​​ a​​ huge​​ fight​​ at​​ the​​ last​​ minute,​​ the​​ group​​ splits.​​ But​​ then​​ each​​ of​​ them​​ decide​​ to​​ go​​ on​​ a​​ solo​​ trip​​ on​​ their​​ respective​​ vehicles​​ to​​ various​​ destinations​​ across​​ India.​​ With​​ the​​ information​​ given​​ below​​ in​​ each​​ case,​​ answer​​ the​​ questions​​ that​​ follow.

  • Shubham​​ decided​​ to​​ travel​​ to ​​​​ Goa​​ from​​ Delhi.​​ She​​ met​​ with​​ a​​ small​​ accident​​ 80​​ Km​​ away​​ from​​ Cuttack​​ and​​ continued​​ the​​ remaining​​ journey​​ at​​ 4/5​​ of​​ her​​ original​​ speed​​ and​​ reached​​ Kharagpur ​​​​ 1​​ hour​​ and​​ 24​​ minutes​​ late.​​ If​​ she​​ had​​ met​​ with​​ the​​ accident​​ 40​​ Km​​ further,​​ she​​ would​​ have​​ been​​ an​​ hour​​ late.​​ The​​ original​​ speed​​ at​​ which​​ Priyanshi​​ drove​​ was:

  • 33​​ km/hr

  • 45​​ km/hr

  • 25​​ km/hr

  • 30​​ km/hr

  • Ranjan​​ decided​​ to​​ go​​ to​​ Shimla​​ on​​ his​​ bike. ​​​​ If​​ he​​ decreases​​ his​​ speed​​ by​​ 15​​ km/hr​​ ,​​ he​​ takes​​ 45​​ hours​​ more​​ than​​ the​​ normal​​ time​​ that​​ he ​​​​ will​​ take​​ and​​ if​​ increases​​ the​​ speed​​ by​​ 10km/hr,​​ he​​ takes​​ 20​​ hours​​ less​​ than​​ the​​ normal​​ (original)​​ time.​​ The​​ distance​​ he​​ covered​​ is:

  • 9750​​ km

  • 5678​​ km

  • 7895​​ km

  • 8734​​ km

  • Ankit​​ decides​​ to​​ travel​​ to​​ his​​ destination​​ via​​ bus.​​ There​​ are​​ two​​ buses​​ A​​ and​​ B​​ which​​ are​​ 100​​ m​​ and​​ 150​​ m​​ long​​ respectively​​ and​​ are​​ moving​​ at​​ one​​ another​​ at​​ 54​​ Km/hr​​ and​​ 36​​ Km/hr​​ respectively.​​ Ankit​​ is​​ sitting​​ on​​ coach​​ B1​​ of​​ Bus​​ A.​​ Calculate​​ the​​ time​​ taken​​ by​​ the​​ trains​​ to​​ completely​​ cross​​ each​​ other.

  • 6​​ sec

  • 10​​ sec

  • 11​​ sec

  • 8​​ sec

 

 

 

 

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