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