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

     


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