How many five letter words with or without meaning, containing 2 vowels and 3 consonants can be formed using the letters of the word 'OPTICAL'?

In how many different ways can the letter of the word "EMBROIDERY" be arranged so that all vowels are always positioned together?

Find the median income per day if Income (₹) per day | 1000 | 1500 | 800 | 2000 | 1800 | 2500 No. of persons | 24 | 21 | 16 | 20 | 11 | 30

From the passage: Study the pie charts and answer the following questions: In a manufact...

The ratio of the number of female employees of levels 'B' and 'C' taken together to the number of male employees of levels 'B' and 'C' taken together, is: [Figure: see page 41 of source PDF]

Three numbers are in the ratio 4:5:7 and their LCM is 5040. Their HCF is:

If a + b + c = −10 and ab + bc + ac = 10, then the value of the expression a³ + b³ + c³ − 3abc is:

The co-ordinates of midpoints of the sides AB, BC, and CA of a triangle ABC are (3, 6), (5, 3), and (8, 5) respectively. The co-ordinates of vertex A are:

Inside a rectangular park of dimensions 100m × 80m, walking paths 3m wide are to be constructed as shown in the figure given below (a 3 m path along the inside of the boundary, plus one path parallel to the length and one parallel to the width crossing in the middle). Find the co…

The length of a hall is 22 m and the width is 18 m. If the sum of the areas of the floor and the roof is equal to the total area of the four walls, then what is the volume of the hall?