Quant Test for IBPS PO Prelims Exam set – 14

1. If two times of the Mohini’s age in years is included to her mother’s age, the total is 70 and if two times of the mother’s age is included to the Mohini’s age, the total is 95. So what is the age of Mohini’s Mother?
   50
   20
   40
   30
   80
   Option C
   Mohini’s age = x
   Mohini’s mother age = y
   2x+y = 70 and x+2y = 95
   y = 40
   
   
    



2. A boat running downstream covers a distance of 40 km in 5 hrs and for covering the same distance upstream it takes 10 hrs. What is the speed of the stream?
   7 km/hr.
   4 km/hr.
   2 km/hr.
   3 km/hr.
   6 km/hr.
   Option C
   Downstream speed = 40/5 = 8 km/hr
   Upstream speed = 40/10 = 4 km/hr
   Speed of stream = 1/2*(8-4) = 2 km/hr.
   
   
    



3. Yash sold a machine to Shalini at a profit of 30%. Yash sold this machine to Sahil at a loss of 20%. If Yash paid Rs.5000 for this machine, then find the cost price of machine for Sahil?
   Rs. 4100
   Rs. 7400
   Rs. 6300
   Rs. 5200
   Rs. 5000
   Option D
   R1 = 30% R2 = 20%
   5000 * 130/100 * 80/100 = Rs. 5200
   
   
    



4. A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?
   71000
   52500
   48200
   65200
   55000
   Option B
   Number of cones =Volume of Cylinder / Volume of one cone
   = π*5*5*7 / (1/3π * 1/10 * 1/10 * 1)
   = 52500
   
   
    



5. A basket contains 5 red 4 blue 3 green marbles. If three marbles picked up random, What is the probability that either all are green or all are red?
   1/45
   1/33
   1/30
   1/25
   1/20
   Option E
   Total Marbles = 12
   Either all are green or all are red = 5c3 + 3c3
   Probability = 5c3 + 3c3/12c3 = 11/220 = 1/20
   
   
    
Directions(6-10): What approximate value will come in place of question mark '?' in the following questions.


6. 184 + 712 -336 – 4^3 = ?
   450
   496
   414
   400
   440
   Option B
   184 + 712 -336 – 4^3 = ?
   =>896 – 400 = ?
   =>? = 496
   
   
    



7. (12.5% of 1296) – 3^3 = ?
   160
   148
   117
   135
   120
   Option D
   (12.5% of 1296) – 3^3 = ?
   =>? = (1/8*1296) – 27
   =>? = 162 – 27
   =>? = 135
   
   
    



8. 7/3 + 18/7 + 23/21 = ?
   8
   10
   6
   5
   7
   Option C
   7/3 + 18/7 + 23/21 = ?
   =>? = (49 + 54 + 23)/21
   =>? = 126/21
   =>? = 6
   
   
    



9. {(168*96)/144} + 32 = ?^2
   16
   18
   12
   19
   10
   Option C
   {(168*96)/144} + 32 = ?^2
   =>?^2 = {(12*14 *12*8)/(12*12)}+32
   =>?^2 = 112+32
   =>? = 12
   
   
    



10. (1764)^2 + 148 – 102 = ?
    80
    95
    88
    74
    64
    Option C
    (1764)^2 + 148 – 102 = ?
    =>42 + 148 – 102 =?
    =>? = 88