Question
A card is drawn from a standard deck of 52 cards. What
is the probability that it is a face card or a heart?Solution
ATQ, Face cards = 12 (J,Q,K of 4 suits) Hearts = 13 Overlap (face cards that are hearts) = J♥, Q♥, K♥ = 3 Favourable = 12 + 13 - 3 = 22 Probability = 22/52 = 11/26
If O is circumcentre of acute angled triangle ABC, if ∠ BAC = 70˚ then ∠BOC = ?
A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small c...
Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is
Let A, B, and C be the mid-points of sides PQ, and QR PR, respectively, of ΔPQR. If the area of ΔPQR is 64cm², then find the area of ΔABC.
...The length of the each side of an equilateral triangle is 28√3. The area of incircle, (cm 2 ) is
∆ ABC is similar to ∆ DEF. If area of ∆ABC is 9 sq.cm and area of ∆DEF is 16 sq.cm and BC = 2.1 cm. Then the length of EF will be
In ∆ABC , G is the centroid , AB = 6 cm, BC= 8 cm and AC = 10 cm , find GD, where D is the mid-point of BC?
In a regular polygon, the ratio of the exterior angle to the interior angle is 4:5. Find the interior angle of the polygon.
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
A triangle ABC is inscribed in a circle with radius 10 cm. The sides of the triangle are AB = 12 cm, BC = 16 cm, and AC = 20 cm. Find the area of the tr...
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