Find the roots of the quadratic equation: x2 + x - 42 = 0.
What is the greatest common divisor (GCD) of 43, 91, and 183 that leaves the same remainder when each number is divided by it?
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend is 12%, his annual income is:
Two men A and B start from the same place X and walk in the same direction. A walks at 4.5 km/h and B walks at 5.75 km/h. How far apart are they after 3.5 hours?
The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% of the marks gets 25 marks more than necessary for passing. Find the number of marks required for passing.
A plane left 30 minutes later than the scheduled time and to reach the destination 1500 km away on time, it had to increase its speed by 250 km/hr from its usual speed. What was the plane's usual speed?
Bhavik and Suraj take part in a duel. Bhavik can strike with an accuracy of 0.6. Suraj can strike with an accuracy of 0.8. Bhavik has the first shot, post which they strike alternately. What is the probability that Bhavik wins the duel?
A and B start from the same point and in the same direction at 7:00 am to walk around a rectangular field that is 400m long and 300m wide. A walks at a rate of 3 km/h, and B walks at a rate of 2.5 km/h. How many times will they cross each other if they continue walking until 12:30 pm?