Quantitative Aptitude - Arithmetic Ability Questions

Product of digits of a 2-digit number is 24. If we add 45 to the number, the new number obtained is a number formed by interchange of the digits. What is the number?

A natural number, when divided by 4, 5, 6 or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

Three sides of a triangle are 5 cm, 9 cm and x cm. The minimum integral value of x is

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

Which of the following condition is sufficient to state that triangle ABC and DEF are similar?

The surface area of a sphere is 5544 cm2. Find its diameter (in cm).

One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC.