Question
If the nine-digit number 43x1145y2 is divisible by 88,
then the value of (3x — 2y), for the smallest value of y, is:Solution
43x1145y2 5y2 must be divisible by 8 ∴ y = 1 ∴ 512 is divisible by 8 and for divisibility by 11 of 43x114512 (4+x+1+5+2) – (1+4+1+3) should be multiple of 11 ∴ x = 8 Now 3x-2y = 3×8-2×1 = 24-2 = 22
In an acute-angled triangle XYZ, an altitude XP is drawn from vertex X to side YZ. A point O is located on XP such that XY = 12 cm, OY = 5 cm, and OZ = ...
In a rectangle, length : breadth = 4 : 3. What is the value of length : diagonal?
In parallelogram ABCD, point E is located on side AB, and line segment DE is drawn perpendicular to AB. Given that AD measures 5 cm, AB is 12 cm, and AE...
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.
If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 100˚ then ∠BAC = ?
In the given figure, radius of a circle is 14 √2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (i...
If the ratio of side of a ∆ is 3:4:5, and a ┴ from opposite vertex drawn to the biggest sides at D, if the length of biggest side is 10 then find ra...
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 180 then ∠BAC = ?
The length of the each side of an equilateral triangle is 7√3 cm . The area of circumcircle, (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
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