Quant Test for IBPS PO 2018 Prelim Exam Set – 5

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

1. (5568 ÷ 87) ^1 /3+(72 × 2)^ 1/ 2=(? )^ ½
   230
   256
   198
   227
   195
   Option B
   => (64)^ 1/ 3+(144)^ 1/ 2 = (?)^1/2
   => ((4)^3 )^1/3 + ((12)^2 )^1/2 = (?)^1/2
   => 4 + 12 = (?)^1/2
   => (?)^1/2 = 16
   => ? = 16^2 = 256

    

2. 83.33% of 1386 + 62.5% of 3648 = 15 × ?
   200
   185
   229
   302
   208
   Option C
   83.33% of 1386 + 62.5% of 3648 = 15×?
   =>5/ 6 ×1386 + 5 /8 ×3648 = 15×?
   =>1155 + 2280 = 15×?
   = 3435/15 = 229

    

3. 675/27 + 112 × 1.5 – 35% of 420 = ?
   32
   46
   38
   40
   33
   Option B
   675/27 + 112 × 1.5 – 35% of 420 = ?
   => 675/27 + 112 × 1.5 – 35% of 420 = ?
   = 25 + 168 – 147 = 46

    

4. [15( 2/3) + 33(1/3) ]+18(3/4) ×7(3/15) =? +34
   115
   212
   190
   100
   150
   Option E
   [15( 2/3) + 33(1/3)]+ 18(3/4) × 7(3/15) = ? + 34
   => 49 + 75/4 × 108/15 = x + 34
   => 49 + 135 – 34 = x
   => x = 150

    

5. 2/3 of 9/7 of 8/13 of 63% of 4550 = ?
   1489
   1500
   1512
   1455
   1497
   Option C
   2/3 of 9/7 of 8/13 of 63% of 4550 = ?
   2/3 × 9/7 × 8/13 × 63/100 × 4550 = ? = 1512

    

6. Deshmukh borrows a sum of Rs.4000 at the beginning of a year. After four months Rs.2000 more is borrowed at a rate of interest double times the previous one. At the end of one year, the sum of interest on both the loans is Rs.576. What is the first rate of interest per annum? P = 4000 Rate of Interest = x SI = (4000×x×1)/ 100 = 40𝑥 —-(1) P = 6000 Rate of Interest = 2x SI = (6000×2x x 8)/(100×12) = 80x —-(2) 40x + 80x = 576 x = 4.8%
   5.0%
   4.2%
   3.5%
   4.8%
   4.0%
   Option D
   P = 4000
   Rate of Interest = x
   SI = (4000×x×1)/ 100 = 40𝑥 —-(1)
   P = 6000
   Rate of Interest = 2x
   SI = (6000×2x x 8)/(100×12) = 80x —-(2)
   40x + 80x = 576
   x = 4.8%

    

7. A person travelled 120 km by steamer , 450 km by train and 60 km by horse. It took 13 hour 30min. If the rate of train is 3 times that of the horse and 1.5 times that of the steamer , find the rate of train per hour.
   66 km/hr.
   52 km/hr.
   60 km/hr.
   77 km/hr.
   56 km/hr.
   Option C
   Horse = x
   Train = 3x
   Steamer = 2x
   120/2x+450/3x+60/x = 13.5
   X = 20
   Speed of train= 20*3 = 60km/hr.

    

8. A, B and C started a business investing Rs. 42000, Rs. 30000 and Rs. 28000 respectively. After 4 months A withdrew Rs 12000, B withdrew Rs 6000 and C withdrew Rs 8000. If after 10 months a total profit of Rs 46420 is earned, what is the share of C?
   13440
   14520
   12550
   12760
   11590
   Option D
   A = 42*4+30*6 = 348
   B = 30*4+24*6 = 264
   C = 28*4+20*6 = 232
   A:B:C 348:264:232
   87:66:58
   211 =46420
   1 = 220
   C = 220*58 = 12760

    

9. The capacity of a tank is 2400 m^3. A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m^3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.
   44
   49
   54
   50
   40
   Option D
   Let filling capacity of the pump be x m^3/min.
   Then, the filling capacity of the pump will be (x + 10) m^3/min.
   From the given data, 2400x – 2400x + 10 = 8
   => 2400 [x+10−x/x(x+10)] = 8
   => x^2 + 10x − 3000 = 0
   => x = 50 m^3/min.

    

10. A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?
    276
    282
    246
    255
    230
    Option C
    Required number of ways
    = 4C1*6C4 + 4C2*6C3 + 4C3*6C2 + 4C4*6C1
    = 60 + 120 + 60 + 6
    = 246