Quantitative Aptitude - Arithmetic Ability Questions

ΔXYZ is similar to ΔPQR. If ratio of Perimeter of ΔXYZ and Perimeter of ΔPQR is 4:9 and if PQ = 27 cm, then what is the length of XY (in cm)?

A sump is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is:

One-third of Poojitha's age three years ago plus one-half of her age two years from now is twenty years. How old is she now?

What is the value of 2 - 2z + z22 + 2z - z2, when z+2z = 2 ?

The circumference of a circle is 110 cm. Find its radius (in cm).

If a + b = 10 and ab = 24, then the value of a3 + b3 is

The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C’s income is Rs 4000 more than the half of E’s income, then what is the D’s income (in Rs)?

The ratio of two numbers is 5 : 6. If their product is 1470, then what is the sum of both the numbers?