Quantitative Aptitude - Arithmetic Ability Questions

If x2 – 4x + 1 = 0, then what is the value of x9 + x7 – 194x5 – 194x3?

Bipul is 16 years younger than Saibal. 12 years hence, Saibal's age will be 1.5 times that of Bipul. Saibal is now ___ years old.

If rsin∅ =1, rcos∅=√3, then the value of r2tan∅ is

ABCD is a cyclic quadrilateral ∠DBA=50° and ∠ADE=33°, then the measurement of ∠BCD is

Meghnad can do a piece of work in 45 hours. If he is joined by Jayshri, who is 50% more efficient, in what time will they together finish the work?

Mahmood can do a piece of work in 40 hours. If he is joined by Janaki who is 50% more efficient, in what time will they together finish the work?

The average of three numbers is 40. First number is 4/3 of the third number. If third number is 20 less than second number, then what is the value of second number?

ABC is a right angled triangle in which ∠A = 90°, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse?