Quant Test for IBPS PO Prelims Exam set – 12

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

1. ?^2 ={(75% of 24% of 1900)/19}+306
   20
   14
   10
   22
   18
   Option E
   ?^2 ={(75% of 24% of 1900)/19}+306
   =>?^2 = 342/19 + 306
   =>?^2 = 324
   =>? = 18
   
   
    



2. ?*12.5% of 64 = 12% of 25% of 200% of 5200
   30
   39
   47
   52
   40
   Option B
   ?*12.5% of 64 = 12% of 25% of 200% of 5200
   =>?*8 = 312
   =>? = 39
   
   
    



3. ? / 0.5 = (1728)^1/3 * (784)^1/2 + (225)^1/2 *(1024)^1/2
   444
   430
   415
   408
   420
   Option D
   ? / 0.5 = (1728)^1/3 * (784)^1/2 + (225)^1/2 *(1024)^1/2
   =>?/0.5 = 28*12 + 15*32
   =>?/0.5 =336 + 480
   =>? = 408
   
   
    



4. ?^2 = (15*14 ) / 7 + 24% of 1900 – 2
   22
   30
   42
   28
   38
   Option A
   ?^2 = (15*14 ) / 7 + 24% of 1900 – 2
   =>?^2 = 30+456-2
   =>? = 22
   
   
    



5. ? = 20% of 5075 – 19^2 – 171
   450
   440
   462
   472
   483
   Option E
   ? = 20% of 5075 – 19^2 – 171
   =>1015 – 361 – 171 = ?
   =>? = 483
   
   
    



6. Ram, Shyam and Sita started a business in partnership by investing Rs.38500, Rs.49500 and X respectively. At the end of the year they earned a total profit of Rs.101500 and Riya’s share in the profit is 45500 find X ?
   44220
   42781
   41720
   45500
   42250
   Option D
   X = 71500
   38500*12:49500*12 : x*12 = 7:9:12x = 7:9:13
   Profit = 101500*13/29 = 45500
   
   
    



7. The area of a rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, then the area is increased by 67 square units. Find the area of the rectangle?
   163
   174
   153
   169
   175
   Option C
   then the area is increased by 67 square units. Find the area of the rectangle?
   Length = x; Breadth =y
   xy – (x-5)(y+3) = 9
   3x – 5y – 6 = 0 —(i)
   (x+3)(y+2) – xy = 67
   2x + 3y -61 = 0 —(ii)
   solving (i) and (ii)
   x = 17m ; y = 9m
   Area of the Rectangle = 153 m
   
   
    



8. The average salary of all the employees in company is 7000. The average salary of 9 mechanic is 5000 and for the rest of the employees it 4000. Find the total number of employees in the company.
   20
   15
   10
   12
   18
   Option D
   Total Employees E,
   7000*E = 9*5000 + (E-9)*4000.
   E = 3
   Hence, 3+9 =12
   
   
    



9. A number is first decreased by 25%. The decreased number is then increased by 20%. The resulting number is less than the original number by 40. Find the original number.
   345
   450
   400
   370
   330
   Option C
   Let the number is x.
   x – (75/100)*x*(120/100) = 40
   x = 400
   
   
    



10. A bag contains 2 red caps, 4 blue caps, 3 yellow caps and 5 green caps. If three caps are picked at random, what is the probability that none is green?
    5/13
    6/19
    2/17
    3/13
    1/15
    Option D
    Total caps = 14
    Probability = 5c0 * 9c3/ 14c3 = 3/13