Quant Test for IBPS PO Prelims Exam set – 11

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

  1. 39.95% of 265 + 35.2% of 178 = 50% of ? + ?% of 80
    180
    150
    100
    140
    130
    Option E
    39.95% of 265 + 35.2% of 178 = 50% of ? + ?% of 80
    => 106 + 63 = 0.5 ×?+ ?/100 × 80
    => 16900 = 130 ×?
    => ?= 130

     

  2. 15.5% of 849 + 24.8% of 651 = ?
    300
    295
    395
    250
    288
    Option B
    15.5% of 849 + 24.8% of 651 = ?
    => ?= 131.75+ 161.2 = 292.95 ≈ 295

     

  3. 2(1/6) + [3(3/4) – 1(1/4)] =?
    4(9/5)
    6(2/7)
    3(1/3)
    4(2/3)
    4(5/8)
    Option D
    2(1/6) + [3(3/4) – 1(1/4)] =?
    =>4 + (2+9-3)/12 = ?
    =>? = 4(2/3)

     

  4. 7(3/6)of 534 + 262 = 61800 – ?
    52643
    52460
    57533
    52520
    52400
    Option C
    7(3/6)of 534 + 262 = 61800 – ?
    =>45/6*534 + 262 = 61800 – ?
    =>? = 57533

     

  5. 72% of 486 – 64% of 261 = ?
    190
    177
    183
    175
    166
    Option C
    72% of 486 – 64% of 261 = ?
    => 349.92 – 167.04 = 182.88 == 183

     

  6. A can complete a work in 36 days. B is 33.33% more efficient than A. In how many days both complete the work if they work on alternate days starting with A?
    20
    36
    39
    25
    31
    Option E
    B will complete the work alone in = 3/4 × 36 = 27 days
    A -36 ——3
    ——-108
    B — 27—— 4
    Let total units of work = 108
    No. of units done by A in 1 day = 3
    No. of units done by B in 1 day = 4
    Total work done in 2 days = 7 units
    Work done in 30 days = 7 × 15 = 105 units
    Remaining work will be done by A in [108 – 105]/3 = 1 day.
    Total days taken = 31 days

     

  7. Harsh adds 12% of his salary in PPF. 3/8th of the remaining amount is spent on clothes and the difference between PPF and clothes expenses is Rs 10500. Remaining amount is spent on house rent and other expenses. If house rent expenses is Rs 1500 less than other expenses, then what is the house rent expenses?
    10000
    13000
    18000
    16700
    15500
    Option B
    12% of the salary is added as PPF. Remaining Part = 100 – 12 = 88%
    Amount spent on clothes = 3/8 of 88% = 33%
    Difference between PPF and cloth expanses = 33 – 12 = 21% of salary = 10500
    Total salary = 50000
    Other expanses = House Rent expanses + 1500
    House Rent expanses + Other expanses = (100 – 33 – 12)% of salary = 55% of salary = 27500
    House Rent expanses + House Rent expanses + 1500 = 27500
    2 × House Rent expanses = 27500 – 1500 = 26000
    House Rent expanses = 13000

     

  8. The surface area of a spherical part of a hemispherical bowl with a flat circular detachable cover, excluding the cover, is 616 sq cm. The area of the cover is 38.5 sq cm. What is the volume of the bowl?
    2356
    1230
    2000
    2033
    1958
    Option D
    2*pi*r*r = 616
    =>r^2 = (616/2)*(7/22)
    =>r^2 = 98
    Volume = 2/3*pi*r^3
    = 2033 cm^3

     

  9. A vessel contains liquid P and Q in the ratio 5 : 3. If 16 litres of the mixture are removed and the same quantity of liquid Q is added, the ratio become 3 : 5. What quantity does the vessel hold?
    50
    30
    40
    20
    10
    Option C
    Let, the quantity of liquid P and Q be 5x and 3x litres respectively.
    Quantity of P removed = 5/(5+3) × 16 = 10 litres
    Quantity of Q removed = 3/(5+3) × 16 = 6 litres
    Now, (5𝑥−10)/(3𝑥−6+16 )= 3/5
    ⇒ 25𝑥 − 50 = 9𝑥 + 30
    ⇒ 16𝑥 = 80
    ⇒ 𝑥 = 5
    Quantity that vessel hold = 8 ×5 = 40 litres

     

  10. In bag A there are 5 red balls, X green balls and 7 yellow balls. Probability of drawing one green ball from bag A is 2/5. In bag B there are (X-3) red balls, (X-4) green balls and 6 yellow balls. 2 balls are drawn from bag B. Find the probability that both the balls are red colour?
    1/15
    3/14
    6/19
    2/21
    3/17
    Option D
    Probability of drawing one green ball = x/(x+12) = 2/5
    ⇒ x = 8
    Required probability = 5C2/15C2 = 2/21

     


Related posts

Leave a Comment