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
C.
3011
The expression is:
= 3011 x 3012
= 3011 (3011 + 1)
= (3011)2 + 3011
∴ Required answer = 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
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