Mathematics (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 63 - 68 of 112

∆ABC is a triangle with AB = AC and BC = 9 cm. If the height from A to BC is 6 cm, then the height from C to AB (in cm), is

If the simple interest for a certain sum at 7 % per annum for 2 years is Rs. 400. What will be the difference between the compound interest and simple interest?

Two candles have different lengths and thickness. The shorter lasts 11 h and the longer 7 h when both are lit simultaneously. If after 3 h of their being lit together at the same time, both have the same length, then the ratio of their original lengths is

In a quadrilateral ABCD, if AB|| CD, ∠D = 2∠B, AD = b and CD = a, then the side AB is of length

If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is

Find the area of the largest circle that can be drawn inside a rectangle with sides 18 cm and 14 cm.