Question
Select the term from among the given options that can
replace the question mark (?) in the following series. D4W, G5T, K9P, ?, S23H, V37ESolution
The letters seem to be progressing alphabetically, and the numbers seem to be increasing by a certain pattern. Let's observe the pattern: From D4W to G5T, the letter increases by 3 (D -> G) and the number increases by 1 (4 -> 5). From G5T to K9P, the letter increases by 4 (G -> K) and the number increases by 4 (5 -> 9). So, it seems like the pattern is that the letter increases by a certain value (3, 4, ...) and the number increases by the same value (1, 4, ...). If we follow this pattern: From K9P to the next term, the letter should increase by 5 (K -> O) and the number should increase by 5 (9 -> 14). So, the next term should start with O14. Among the options, only option 4 has O14L, so the correct answer is: O14L
Find the length of AB, if ΔABC ~ ΔRQP and AC = 22.5 cm, RP = 9 cm and RQ = 6 cm.
- The base of a right pyramid is an equilateral triangle with side 10 cm. If the height of the pyramid is 55√3 cm, calculate the volume of the pyramid.
If two triangles PQR and STU are congruent, then which of the following statement(s) is/are true?
I. PQ = ST
II. ∠PQR = ∠STU
- Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
Find the length of AC, if ΔABC ~ ΔRQP and AB = 10 cm, RQ = 8 cm and RP = 12 cm.
Find the hypotenuse of an isosceles right-angled triangle where each of the equal sides is 7√5 cm.
- In triangle ABC, DE is drawn parallel to side BC. If AD = 6 cm, DB = 4 cm and AE = 9 cm, then find AC.
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
- The base of a right pyramid is an equilateral triangle with side 8 cm. If the height of the pyramid is 36√3 cm, determine the volume of the pyramid.
An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.