- 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
228161 488294Usually I dont learn post on blogs, even so I wish to say that this write-up really pressured me to try and do it! Your writing taste has been surprised me. Thank you, quite fantastic write-up. 930449