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SBI PO Quantitative aptitude practice set 26

IBPS EXAM Guru
     
     
     
    1 . A 380-metre-long train running at a speed of 80 kmph will take how much time to cross another 420-metrelong train running in opposite direction at a speed of 48 kmph?

    A.   20.12 seconds
    B.   22.5 seconds
    C.   20.5 seconds
    D.   18.57 seconds
    2 . How many kilograms, of sugar at Rs.42 per kg should a man mix with another 25 kg of sugar at Rs.28 per kg so that he may gain 25% profit by selling Rs.40 per kg?

    A.   8 kg
    B.   15 kg
    C.   20 kg
    D.   10 kg
    3 . A number X is increased by 20% to get another number Y. A third number Z is obtained by increasing Y by 10%. By what per cent should Z be decreased to get X?

    A.   26.51%
    B.   24.24%
    C.   28.36%
    D.   31.71%
    4 . Z can do a piece of work in 42 days. Y can do the same piece of work in 36 days. W can do it in 56 days. Z worked for 18 days and handed it to Y, who worked for 9 days and left the job for W. How many days will W take to finish the work?

    A.   16 days
    B.   20 days
    C.   24 days
    D.   18 days
    5 . Munsi Premchand sold a cow at a loss of 15%. Had he sold it for `300 more he would have earned a profit of 10% instead of loss. Find the cost price of the cow.

    A.   1200
    B.   1250
    C.   1100
    D.   1400
      Answers & Solutions
       
      1 .    
      Answer : Option C
      Explanation :
      Reqd time = $Length of train A + Length of train Bover Speed of train A + Speed of train B$

      = $800 times 18 over 128 times 5$

      = 22.5 seconds
      2 .    
      Answer : Option D
      Explanation :
      Selling price of 1 kg mixture = Rs.40 per kg profit = 25%

      Cost price of 1 kg mixture = 40 x $100 over 125$ = Rs. 32 per kg

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      3 .    
      Answer : Option B
      Explanation :
      y = $x$ x $120 \over 100$ = $6x\over 5$

      z = y x $110\over 900$ = $11y\over 10$

      = $11 \over 10$ x $6\over 5$$x$ = $66 \over 55$$x$

      Reqd % = ${66 \over 50}x - x \over {66\over 50}x$ x 100

      = 24.24 %
      4 .    
      Answer : Option D
      Explanation :
      Work of Z in 1 day = $1\over 42$

      Work of Z in 18 days = $18 \over 42$ = $3 \over 7$

      Work of Y in 1 day = $1\over 36$

      Work of Y in 9 days = $9\over 36$ = $1\over 4$

      Work of W in 1 day = $1\over 56$

      Remaining work = 1 - ($3\over 7$ + $1 \over 4$)

      = $28 - (12 + 7) \over 28$

      = $9 \over 28$

      Now , W will take 56 x $9 \over 28$ = 18 days to finish the work.
      5 .    
      Answer : Option A
      Explanation :
      Let the cost price of cow be Rs. X

      Selling price at 15 % loss = $x$ x $85 \over 100$

      x = $300 \times 100 \over 25$

      = Rs.1200



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