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SBI PO Quantitative Aptitude Quiz 1

IBPS EXAM Guru
     
     
     
    1 . Directions (1–8): What approximate value should come in place of the question mark (?) in the following? (You are not expected to calculate the exact value).
    8787 ÷ 343 × $\sqrt 50$ = ?

    A.   100
    B.   250
    C.   180
    D.   100
    2 . $\sqrt [3]{54821}$ × (303 ÷ 8) = $(?)^2$

    A.   48
    B.   38
    C.   28
    D.   18
    3 . $5\over8 $ of 4011.33 +$7\over10 $ of 3411.22 = ?

    A.   4810
    B.   4820
    C.   4890
    D.   4860
    4 . 23% of 6783 + 57% of 8431 = ?

    A.   6460
    B.   6420
    C.   6480
    D.   6360
    5 . Ratio of cost price and marked price of an article is 3:5. Ratio of profit percentage and discount percentage is 5:3. Find discount percentage?

    A.   10%
    B.   10÷3
    C.   20%
    D.   5%
    6 . A can do a piece of work in the days taken by B and C together A and B can do piece of work in 10 days and C can do in 50 days. Find in how many days B alone can complete the work?

    A.   25
    B.   35
    C.   45
    D.  
    7 . 10 year ago A was 3 times of the age of B and hence, after 10 years, he will be twice the age of B. Find the respective ratio of their present age.

    A.   7:3
    B.   3:7
    C.   1:2
    D.   2:1
    8 . A boat goes in a running water flowing at the rate of 1.5 kmph. In a given time, boat goes twice the distance in downstream than upstream. Find speed of the boat in still water.

    A.   4.5
    B.   3
    C.   5
    D.   None of the Above
    9 . If a train is going at the rate of 40 kmph, it is late by 11 min. If it is going at the rate of 50 kmph, it is late by 5 mins to reach at a destination. Find actual time to complete the journey.

    A.   30min.
    B.   35min
    C.   19min
    D.   None of the above
      Answers & Solutions
       
      1 .
       
      Answer : Option C
       
      Explanation :
       
      ═ ? =$8787\over 343$ × $\sqrt 50$ = 25.62 × 7
      = 26 × 7 = 182 180
      2 .
       
      Answer : Option B
       
      Explanation :
       
      $\sqrt [3]{54821}$× (303 ÷ 8) = $(?)^2$
      $\sqrt [3]{54821}$ X [$303\over8$]
      $(?)^2$ = 38 × 38
      ? = 38
      3 .
       
      Answer : Option C
       
      Explanation :
       
      (3) ? = 4011.33 × $5\over8 $+3411.22 × $7\over10 $
      = 501.41× 5 + 341.12 × 7= 2507 + 2387
      = 4894 = 4890
      4 .
       
      Answer : Option D
       
      Explanation :
       
      (5) ? = 6783 × $23\over100 $+ 8431 × $57\over100 $ = ?
      $156009\over100 $ + $4805670\over100 $ = $636576\over100 $ =6365.76
      = 6360
      5 .
       
      Answer : Option C
       
      Explanation :
       
      C.P. : M.R.P
      3x : 5x
      P% : D%
      5y : 3y
      S.P. = S.P.
      3x + $3x+5y\over100 $ = 5x + $5x+3y\over100 $
      Y= $20\over3$
      D% = 3y = 20%
      6 .
       
      Answer : Option A
       
      Explanation :
       
      image
      7 .
       
      Answer : Option A
       
      Explanation :
       
      A : B
      3 : 1 – 10 years before
      2 : 1 – After 10 years
      equating difference we get
      image
      So, 3 unit = 60 years
      Thus, in present A and B's age is 70 years
      and 30 years respectively.
      ratio = 7 : 3.
      8 .
       
      Answer : Option A
       
      Explanation :
       
      (1) As, the time is equal for downstream and upstream distance. Now,,
      $Distance\over speed$ = $29(Distance)\over speed$
      $X\over M-1.5$ = $ 2X\over M+1.5$
      M = 4.5
      9 .
       
      Answer : Option A
       
      Explanation :
       
      x = Actual time in minutes.
      S × T = S × T
      40 × $X+11\over60$ = 50 × $X+5\over60$
      x = 19 minutes.

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