- The ratio of boys and girls in a section is 2:3. If the difference between the number of girls and boys in section is 50. What is the strength of the section?
200110150100250Option E

3x – 2x = 50

=>x = 50

Boys = 100

Girls = 150

Total =250 - A train running with a speed of 90km/hr. crosses a pole in 12.2 seconds. Find the length of the train.
315 m250 m225 m305 m270 mOption D

Speed = 90*5/18 = 25 m/s

Length = 25*12.2 = 305 m - In a mixture of acetone and water, the ratio of acetone to water is 3:5. 8 litres of the mixture is taken out and is replaced with 7 litres of water such that the ratio of water becomes 4:9. What is the initial amount of the mixture?
6040805070Option B

Amount of acetone removed = (3*8)/8 = 3 L

Amount of water removed = (5*8)/8 = 5 L

(3x – 3)/(5x – 5 + 7)= 4/9

=> x = 5

Initial amount of the mixture = 8x = 40 L - The average age of a group of 12 persons is 65 years. Three persons of age , 15 years, 20 years and 25 years left the group and three new persons of age 28 years , 30 years and 32 years joined the group. What is the new average age of the group?
80.8 years71.9 years60.8 years67.5 years55.5 yearsOption D

Sum of their ages = 65*12 = 780 years

Sum of their after three persons left and three persons joined

= 780 – 15 -20 -25 + 28 +30 + 32 = 810 years

New average age = 810/12 = 67.5 years - A,B and C invested Rs.20000 , Rs.15000 and Rs.10000 in a business. After one year, the total profit received by them is Rs.2430. What is the profit share of C?
Rs.615Rs.620Rs.540Rs.440Rs.500Option C

Ratio of investment = 4:3:2

Total profit received = Rs.2430

Profit share of C = 2/9*2430 = Rs.540 - If the difference between the compound interest and simple interest on a certain sum of money for 2 years at 25% per annum is Rs.156.25. Find the principal amount.
Rs.3200Rs.3000Rs.2500Rs.1500Rs.2000Option C

SI = (x*2*25)/100 = Rs.x/2

CI = x*{1+(25/100)}^2 – x = Rs.9x/16

Difference = 9x/16 – x/2 = 156.25

=>x = Rs.2500 - The area of a rectangle and a square lawn are equal. The length of the rectangle lawn is 9 more than its breadth and its perimeter is 82 m. What is the measure of sides of the square lawn?
1815122010Option D

Let length be x m and breadth be (x-9) m.

2*{x+(x-9)} =82

=> x = 25

Length = 25 m

Breadth = 16 m

Area of the square = 25*16 = 400 m^2

Sides = 20 m - A and B have efficiency in the ratio 5:3 resp. If working together, they can complete the work in 7.5 days. A takes how many less days than B to complete the same work alone?
108596Option B

Total work = (5+3)*7.5 = 60 units

Time taken by A = 60/5 = 12 days

Time taken by B = 60/3 = 20 days

A takes 8 days less than B to complete the whole work. - If the manufacturer gains 5%, the Wholesale dealer 8% and the retailer 12%, find the cost of production of an article whose retail price is Rs 1247.
Rs.850Rs.880Rs.900Rs.982Rs.720Option D

C.P. of article

= 1247 × (100/105) × (100/108) × (100/112) = Rs. 981.8 = Rs.982 - In an office , the ratio of male to female employees is 2:3. 20% of the male employees and 25% of the female employees are in the IT department and 20% of the remaining employees are in marketing department. What is the number of employees in marketing department, if the total number of employees in the office is 1500?
200220231225241Option C

2x+3x = 1500

=>5x = 1500

=>x = 300

Male = 2x = 600

Female = 3x = 900

Number of employees in IT department = 20% of 600+25% of 900 = 345

Remaining employees = 1500 – 345 = 1155

Number of employees in Marketing department = 20% of 1155 = 231