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

- (5568 ÷ 87) ^1 /3+(72 × 2)^ 1/ 2=(? )^ ½
230256198227195Option 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 - 83.33% of 1386 + 62.5% of 3648 = 15 × ?
200185229302208Option C

83.33% of 1386 + 62.5% of 3648 = 15×?

=>5/ 6 ×1386 + 5 /8 ×3648 = 15×?

=>1155 + 2280 = 15×?

= 3435/15 = 229 - 675/27 + 112 × 1.5 – 35% of 420 = ?
3246384033Option B

675/27 + 112 × 1.5 – 35% of 420 = ?

=> 675/27 + 112 × 1.5 – 35% of 420 = ?

= 25 + 168 – 147 = 46 - [15( 2/3) + 33(1/3) ]+18(3/4) ×7(3/15) =? +34
115212190100150Option 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 - 2/3 of 9/7 of 8/13 of 63% of 4550 = ?
14891500151214551497Option C

2/3 of 9/7 of 8/13 of 63% of 4550 = ?

2/3 × 9/7 × 8/13 × 63/100 × 4550 = ? = 1512 - 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% - 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. - 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?
1344014520125501276011590Option 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 - 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.
4449545040Option 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. - 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?
276282246255230Option C

Required number of ways

= 4C1*6C4 + 4C2*6C3 + 4C3*6C2 + 4C4*6C1

= 60 + 120 + 60 + 6

= 246