Quantitative Aptitude - Arithmetic Ability Questions

What should be added to 5(2x-y) to obtain 4(2x - 3y) + 5(x + 4y)?

Points P , Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60° . Then the subtended angle by arc QR at the centre is

Tribeni bad to travel 175 km in 3.5 hours. However, she travelled at the rate of 58 km/hr for 2.5 hoursand then rested for 20 minutes before completing the journey. If Tribeni managed to reach on time, herspeed during the last stretch would have been .........

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

The ten's digit of a 2­digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

If √[(1 + cosA)/2] = x, then find the value of x.

If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35, then what is the value of abc?

If a - b = -7 and a2+ b2= 85, then find ab.