- A vessel has only two types of oil A and B in the ratio of 9 : 7 respectively. When 25 liters of oil is added to the vessel then quantity of oil A becomes 75% of that of oil B. What is the capacity of vessel if it becomes full after addition of 25 liters oil ?
120 lt105 lt100 lt130 lt80 ltOption B

Let quantity of oil in vessel A and B = 9x and 7x

9x = (7x + 25) 75/100

36x = 21x + 75

15x = 75

x = 5

capacity of vessel = 9x + 7x + 25 = 105 liters - The ratio of present age of A and B is 6 : 5 and the present age of C is 5 years less than B. After 6 years the age of A is two times the present age of C. If the present age D is 8 years more than B, then find the present age of D ?
26 years30 years28 years23 years32 yearsOption C

Let the present age of A and B = 6x and 5x respectively.

present age of C = 5x – 5

ATQ, 6x + 6 = (5x – 5) * 2

6x + 6 = 10x – 10

x = 4

present age of D = 5x + 8 = 28 years - P and Q together can complete a work in 24 days and Q and R together can complete the same work in 30 days. P and R together work for 15 days and after 15 days P and R left the work remaining work done by done B. If the efficiency ratio of P and Q is 2 : 3, then find in how many days total work will be completed ?
28 days60 days40 days38 days25 daysOption C

LCM of 24 and 30 = 120

total work = 120

efficiency of P and Q = 120/24 = 5

efficiency of Q and R = 120/30 = 4

efficiency of P = 5 * 2/5 = 2

efficiency of Q = 5 – 2 = 3

efficiency of R = 4 – 3 = 1

P and R together work for 15 days = ( 2 + 3) * 15 = 45 work

remaining work = 120 – 45 = 75

days required by B to complete remaining work = 75/3 = 25 days

total days = 15 + 25 = 40 days - A and B entered into a partnership business by investing rs.12000 and rs.14000 respectively. After x months C joined then by investing rs. 8000 and B left the business. If profit earned by C at the end of year is rs. 800 out of total profit rs.7200, then find for how many months did C invest his money ?
8 months4 months2 months7 months6 monthsOption B

Profit sharing ratio = (12000 * 12) : (14000 * x) : (8000 * 12 – x)

= 144 : 14x : 96 – 8x

96 – 8x/144 + 14x = 1/8

144 + 14x = 768 – 64x

78x = 624

x = 8

C invest his money for 12 – 8 = 4 months - Rohit calculates his profit percentage on SP while Sumeet calculate his profit percentage on CP. They find that the difference between their profit is rs.280. If SP of both are same and both get 20% profit, then find CP of Rohit ?
1240014000150001080012000Option D

Let SP of both Rohit and Sumeet = rs.100x

profit of Rohit = 100x * 20/100 = 20x

CP of Rohit = 80x

CP of Sumeet = 100x/120 * 100 = 500x/6

Rohit of Sumeet = 100x – 500/6 = 50x/3

20x – 50x/3 = 450

x = 135

CP of Rohit = 135 * 80 = 10800 - Directions : What will come in place of questions (?) marks in the following questions given below ? (you are not calculate exact value)

49.96% of 1740 + 28% of 1200 – √1764.05 + 120 = ?13401250133612841265Option D

870 + 336 – 42 + 120 = ?

? = 1284 - 4799.98 – 320% 400 – √1331 + 3700/50 = ?
36423485239452503583Option E

4800 – 1280 – 11 + 74 = ?

? = 3583 - (35 * 24) + (40 * 28) – (38)^2 + ? = 800
384360538284264Option D

840 + 1120 – 1444 + ? = 800

516 + ? = 800

? = 284 - 520% of 180 – ( 42 * 25) + 376 = ?
275263340345262Option E

936 – 1050 + 376 = ?

? = 262 - 387.04 + 19.99% of 230 – 1540/19.95 + ? = 420
5664628448Option B

387 + 46 – 77 + ? = 420

? = 64