Quant Test for IBPS PO Prelims Exam set – 26

Directions(1-5): What approximate value will come in place of question mark ‘?’ in the following question.

  1. ? = 30% of 420 + 40% of 420 + 50% of 420 +60% of 420
    700
    742
    756
    710
    722
    Option C
    ? = 30% of 420 + 40% of 420 + 50% of 420 +60% of 420
    => ? = ( 30 + 40 + 50 + 60) % of 420
    =>? = 180% of 420
    =>? = 756

     

  2. ?^2 = {15 *(23^2 – 19^2)} – 17*7
    33
    49
    38
    40
    52
    Option B
    ?^2 = {15 *(23^2 – 19^2)} – 17*7
    =>?^2 = {15 * 42 * 4 } – 119
    =>?^2 = 2520 – 119
    =>?^2 = 2401
    =>? = 49

     

  3. (478 – ?^2 +11)% of 450 = 900
    10
    15
    19
    17
    21
    Option D
    (478 – ?^2 +11)% of 450 = 900
    => 478 -?^2 +11 = 900
    =>?^2 = 289
    =>? = 17

     

  4. (14.28% of 12.5% of 33.33% of 840)^3 + (1936)^1/2
    136
    150
    144
    160
    169
    Option E
    (14.28% of 12.5% of 33.33% of 840)^3 + (1936)^1/2
    =>? = (1/7 * 1/8 * 1/3 * 840)^3 + 44
    =>? = 5^3 + 44
    =>? = 169

     

  5. {(9^3 / 3^4) * 5}% of 4500 – ? = 1305
    700
    720
    689
    650
    680
    Option B
    {(9^3 / 3^4) * 5}% of 4500 – ? = 1305
    => {(729 / 81)* 5}% of 4500 – ? = 1305
    => 45% of 4500 – 1305 = ?
    => ? = 2025 – 1305
    =>? =720

     

  6. A boat can travel 20 km downstream in 24 min. The ratio of the speed of the boat in still water to the speed of the stream is 4 : 1. How much time will the boat take to cover 15 km upstream?
    20
    10
    30
    15
    25
    Option C
    Down speed =20/24*60=50km/hr
    4:1 =4x:x
    Downstream speed = 4x+x=5x
    Upstream speed = 4x-x=3x
    5x= 50; x=10
    so up speed 3*10=30
    Time = 15/30*60= 30min.

     

  7. P and Q started a business by investing Rs 8,000 and Rs 9,000 respectively. After 4 months P withdrew Rs 400 and Q added Rs 400 more. What is the share of Q from the profit of Rs 10,200?
    5200
    5420
    5100
    5560
    5360
    Option D
    8000*4 + 7600*8 : 9000*4 + 9400*8
    116 : 139
    Share of B = 139/(116+139) * 10200 = 5560

     

  8. A sum of Rs. 8800 is to be divided among three brothers P, Q and R in such a way that simple interest on each part at 5% per annum after 1, 2 and 3 year respectively remains equal. The share of P is more than that of R by?
    3250
    3120
    3000
    3200
    3452
    Option D
    x*5*1/100 = y*5*2/100 = z*5*3/100
    x:y:z = 6:3:2
    The share of P is more than that of R by = 4/11 * 8800 = 3200

     

  9. The simple interest on a certain sum of money at 4% per annum for 5 years is 100 more than the interest on the same sum for 3 years at 5% per annum. Find the sum.
    4500
    3500
    2000
    2500
    2200
    Option C
    p*(4/100)*5 – p*(5/100)*3 = 2000

     

  10. A urn contains 4 red balls, 5 green balls and 6 white balls, If one ball is drawn at random, find the probability that it is neither red nor white ?
    1/4
    1/5
    1/3
    1/8
    1/6
    Option C
    Required Probability = 5c1/15c1 = 1/3

     


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