Question
In the word ‘ PARACHUTE ’ all consonants are written
as their preceding letter and all vowels as their following letters. Now all letters are arranged alphabetically from left to right and all the repeated letters are eliminated. Then, how many such pairs of letters are there, each of which has as many letters between them in the word (in both forward and backward directions) as they have between them in the English alphabetical series?Solution
PÂ Â Â Â Â Â Â Â AÂ Â Â Â Â Â Â Â RÂ Â Â Â Â Â Â Â AÂ Â Â Â Â Â Â Â CÂ Â Â Â Â Â Â Â HÂ Â Â Â Â Â Â Â UÂ Â Â Â Â Â Â Â TÂ Â Â Â Â Â Â Â Â E OÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â QÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â VÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â F BÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â BÂ Â Â Â Â Â Â Â FÂ Â Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â OÂ Â Â Â Â Â Â Â QÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â V BÂ Â Â Â Â Â Â Â FÂ Â Â Â Â Â Â Â Â GÂ Â Â Â Â Â Â Â OÂ Â Â Â Â Â Â Â SÂ Â Â Â Â Â Â Â V Pairs formed = FG
AC and CE are the medians of triangle ABD and ACD respectively. If area of triangle ACE is 15 cm 2 , then find the area of triangle ABD.
B1 is a point on the side AC of ∆ ABC and B1B is joined. line is drawn through A parallel to B1B meeting BC at A1 and another line is drawn through C ...
O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, �...
Find the area of triangle having sides 7 m, 24 m, and 25 m.
In triangle GHI, a point J lies on side HI such that ∠GJH = ∠GJI. If GH = 50 cm, GI = 30 cm, and HI = 40 cm, find the length of HJ.
In a given Figure, ON ∥ QR and MN ∥ OR.
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 9 cm, BC = 12 cm then what is BD:CD?
PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25°, then angle PAS measures
- Two chords PQ and RS intersect each other at point ‘A’ inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
If the points P(2, 3), Q(5, a) and R(6, 7) are co-linear, then find the value of 'a'.
