Quantitative Aptitude - Arithmetic Ability Questions

12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?

An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ –1?

If πsinθ= 1, πcosθ= 1, then (3tan 23θ+1) is

If a - b = 2 and ab = 24, then what is the value of a3- b3?

If 35% of A is equal to 60% of B, then what is the ratio of A and B?

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?