The least positive integer that should be subtracted from 3011 x 3012 so that the difference is a perfect square is

• 3009

• 3010

• 3011

• 3011

P, Q, R are employed to do a work for ₹ 5750. P and Q together finished  of work and Q and R together finished  of work. Wage of Q, in rupees, is

• 2850

• 3750

• 2750

• 2750

13.

While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit percent will be

• 10%

• 20%

• 
• 

A cistern has 3 pipes A, B and C. A and B can fill it in 3 and 4 hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 p.m., 4 p.m. and 5 p.m. respectively on the same day, the cistern will be empty at

• 7 : 12 p.m.

• 7 : 15 p.m.

• 7 : 10 p.m.

• 7 : 10 p.m.

If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take complete the work if both of them worked together?

• 10 days

• 12 days

• 6 days

• 6 days

250 men can finish a work in 20 days working 5 hours a day. To finish the work within 10 days working 8 hours a day, the minimum number of men required is

• 310

• 300

• 313

• 313

2 men and 5 women can do a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in

• 36 days

• 21 days

• 30 days

• 30 days

By selling an article at  of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is

• 5 : 3

• 3 : 5

• 3 : 4

• 3 : 4

A and B earn in the ratio 2 : 1. They spend in the ratio 5 :3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are ₹ 5,000 the monthly income of B is

• ₹ 7,000

• ₹ 14,000

• ₹ 5,000

• ₹ 5,000

The ratio of the sum of two numbers and their difference is 5 : 1. The ratio of the greater number to the smaller number is

• 2 : 3

• 3 : 2

• 5 : 1

• 5 : 1